# TCS model questions

1.
Given
a collection of points P in the plane, a 1-set is a point in P that can be
separated from the rest by a line, .i.e the point lies on one side of the line
while the others lie on the other side.

The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position(.i.e no three points in P lie on a line) is

a)3 b)5 c) 2 d)1

Ans: 5

The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position(.i.e no three points in P lie on a line) is

a)3 b)5 c) 2 d)1

Ans: 5

2.
The
citizens of planet nigiet are 8 fingered and have thus developed their decimal
system in base 8.

A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000.

How many 3s are used in numbering these buildings?

a) 54 b) 64 c) 265 d) 192

Ans: 192

Some times base value is chang like: 9finger, 1 to 100(base 9)

A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000.

How many 3s are used in numbering these buildings?

a) 54 b) 64 c) 265 d) 192

Ans: 192

Some times base value is chang like: 9finger, 1 to 100(base 9)

3.
Given
3 lines in the plane such that the points of intersection form a triangle with
sides of length 20, 20 and 30, the number of points equidistant from all the 3
lines is

a)1 b)3 c)4 d)0

a)1 b)3 c)4 d)0

4.
Hare
in the other. The hare starts after the tortoise has covered 1/5 of its
distance and that too leisurely3. A hare and a tortoise have a race along a
circle of 100 yards diameter. The tortoise goes in one direction and the. The
hare and tortoise meet when the hare has covered only 1/8 of the distance. By
what factor should the hare increase its speed so as to tie the race?

a) 37.80 b)8 c) 40 d) 5

Ans: 37.80

a) 37.80 b)8 c) 40 d) 5

Ans: 37.80

5.
Here
10 programers, type 10 lines with in 10 minutes then 60lines can type within 60
minutes. How many programmers are needed?

a) 16 b) 6 c) 10 d) 60

Ans: 10

This type of Q's repeated 4times for me but values are different.

a) 16 b) 6 c) 10 d) 60

Ans: 10

This type of Q's repeated 4times for me but values are different.

6.
Alok
and Bhanu play the following min-max game. Given the expression

N = 9 + X + Y - Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu

would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

a) 0 b) 27 c) 18 d) 20

The Q's concept is same but the equation of N's is changing.

N = 9 + X + Y - Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu

would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

a) 0 b) 27 c) 18 d) 20

The Q's concept is same but the equation of N's is changing.

7.
Alice
and Bob play the following coins-on-a-stack game. 20 coins are stacked one
above the other. One of them is a special (gold) coin and the rest are ordinary
coins. The goal is to bring the gold coin to the top by repeatedly moving the
topmost coin to another position in the stack.

Alice starts and the players take turns. A turn
consists of moving the coin on the top to a position i below the top coin (0 =
i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The
proviso is that an i-move cannot be repeated; for example once a player makes a
2-move, on subsequent turns neither player can make a 2-move. If the gold coin
happens to be on top when it's a player's turn then the player wins the game.
Initially, the gold coinis the third coin from the top. Then

a) In order to win, Alice's first move should be a 1-move.

b) In order to win, Alice's first move should be a 0-move.

c) In order to win, Alice's first move can be a 0-move or a 1-move.

d) Alice has no winning strategy.

Ans: d

a) In order to win, Alice's first move should be a 1-move.

b) In order to win, Alice's first move should be a 0-move.

c) In order to win, Alice's first move can be a 0-move or a 1-move.

d) Alice has no winning strategy.

Ans: d

8.
For the FIFA world cup, Paul the octopus
has been predicting the winner of each match with amazing success. It is
rumored that in a match between 2 teams A and B, Paul picks A with the same
probability as A's chances of winning. Let's assume such rumors to be true and
that in a match between Ghana and Bolivia, Ghana the stronger team has a
probability of 2/3 of winning the game. What is the probability that Paul will
correctly pick the winner of the Ghana-Bolivia game?

a)1/9 b)4/9 c)5/9 d)2/3

Ans: 5/9

a)1/9 b)4/9 c)5/9 d)2/3

Ans: 5/9

9.
36 people {a1, a2, ..., a36} meet and shake
hands in a circular fashion. In other words, there are totally 36 handshakes
involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size
of the smallest set of people such that the rest have shaken hands with at
least one person in the set is

a)12 b)11 c)13 d)18

Ans: 18

a)12 b)11 c)13 d)18

Ans: 18

10. After
the typist writes 12 letters and addresses 12 envelopes, she inserts the
letters randomly into the envelopes (1 letter per envelope). What is the
probability that exactly 1 letter is inserted in an improper envelope?

a)1/12 b)0 c)12/212 d)11/12

Ans: b

a)1/12 b)0 c)12/212 d)11/12

Ans: b

11. A
sheet of paper has statements numbered from 1 to 40. For each value of n from 1
to 40,

statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered are false.

b)The first 26 statements are false and the rest are true.

c)The first 13 statements are true and the rest are false.

d)The odd numbered statements are true and the even numbered are false.

Ans:c

statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered are false.

b)The first 26 statements are false and the rest are true.

c)The first 13 statements are true and the rest are false.

d)The odd numbered statements are true and the even numbered are false.

Ans:c

12. There
are two boxes, one containing 10 red balls and the other containing 10 green
balls. You are allowed to move the balls between the boxes so that when you
choose a box at random and a ball at random from the chosen box, the
probability of getting a red ball is maximized. This maximum probability is

a)1/2 b)14/19 c)37/38 d)3/4

Ans: 14/19

a)1/2 b)14/19 c)37/38 d)3/4

Ans: 14/19

13. A
circular dartboard of radius 1 foot is at a distance of 20 feet from you. You
throw a dart at it and it

hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?

a) 0.75 b) 1 c) 0.5 d) 0.25

Ans: d

hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?

a) 0.75 b) 1 c) 0.5 d) 0.25

Ans: d

14. A
and B play a game of dice between them. The dice consist of colors on their
faces (instead of numbers). When the dice are thrown, A wins if both show the
same color; otherwise B wins. One die has 4 red face and 2 blue faces. How many
red and blue faces should the other die have if the both players have the same
chances of winning?

a) 3 red and 3 blue faces b) 2 red and remaining blue

c) 6 red and 0 blue d) 4 red and remaining blue

Ans: a

a) 3 red and 3 blue faces b) 2 red and remaining blue

c) 6 red and 0 blue d) 4 red and remaining blue

Ans: a

15. On
planet zorba, a solar blast has melted the ice caps on its equator. 8 years
after the ice melts, tiny plantoids called echina start growing on the rocks.
echina grows in the form of a circle and the relationship between the diameter
of this circle and the age of echina is given by the formula

d = 4 * sqrt (t – 8)for t = 8

Where the represents the diameter in mm and t the number of years since the solar blast.

Jagan recorded the time of some echina at a particular spot is 24 years then what is diameter?

a) 8 b) 16 c) 25 d) 21

Ans: 16

d = 4 * sqrt (t – 8)for t = 8

Where the represents the diameter in mm and t the number of years since the solar blast.

Jagan recorded the time of some echina at a particular spot is 24 years then what is diameter?

a) 8 b) 16 c) 25 d) 21

Ans: 16

16. A
sheet of paper has statements numbered from 1 to 40. For all values of n from 1
to 40, statement n says: 'Exactly n of the statements on this sheet are false.'
Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered statements are false.

b) The odd numbered statements are true and the even numbered statements are false.

c) All the statements are false.

d) The 39th statement is true and the rest are false.

Ans: d

a) The even numbered statements are true and the odd numbered statements are false.

b) The odd numbered statements are true and the even numbered statements are false.

c) All the statements are false.

d) The 39th statement is true and the rest are false.

Ans: d

17. Alok
and Bhanu play the following coins in a circle game. 99 coins are arranged in a
circle with each coin touching two other coin. Two of the coins are special and
the rest are ordinary. Alok starts and the players take turns removing an
ordinary coin of their choice from the circle and bringing the other coins
closer until they again form a (smaller) circle. The goal is to bring the special
coins adjacent to each other and the first player to do so wins the game.
Initially the special coins are separated by two ordinary coins O1 and O2.
Which of the following is true?

a) In order to win, Alok should remove O1 on his first turn.

b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.

c) In order to win, Alok should remove O2 on his first turn.

d) Alok has no winning strategy.

Ans: d

a) In order to win, Alok should remove O1 on his first turn.

b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.

c) In order to win, Alok should remove O2 on his first turn.

d) Alok has no winning strategy.

Ans: d

18. Two
pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/4 of B
if filled in 21 hours what time it will take to get completely filled

Ans: 23

Ans: 23

19. Find
average speed if a man travels at speed of 24kmph up and 36kmph down at an
altitude of 200m.

Formula is 2xy/(x+y).

Formula is 2xy/(x+y).

20. One
grandfather has three grandchildren, two of their age difference is 3, eldest
child age is 3 times youngest child’s age and eldest child’s age is two times
of sum of other two children. What is the age of eldest child?

Ans: 18

Ans: 18

21. Ferrari
is leading car manufacturer.*Ferrari S.p.A.* is an Italian sports car. It has
enjoyed great success. If Mohan's Ferrari is 3 times faster than his old
Mercedes wich gave him 35kmph if Mohan travelled 490 km in his ferrari the how
much time(hours) he took?

Easy one try it.

Easy one try it.

22. By
using 1,2,3,4,5, how many 12 digit no. can be formed which is divisible by 4,
repetation of no. is allowed?

Ans: (5)^11

Ans: (5)^11

23. The
cost 1 plum is 1 cent, 2 apples is 1 cent, 3 cashew is 1 cent. If father buys
same amount of fruits for his 3 sons spending 7 cent then what amount of fruit
each child will get?

Ans: 1plum, 2apples, 1cashew

Ans: 1plum, 2apples, 1cashew

24. There
are some 2 wheelers and 4 wheelers parked total number of wheels present is 240
then how many 4 wheelers were there

Ans: For this question answer is deduced from the options.

Ans: For this question answer is deduced from the options.

25. One day Alice meets pal and byte in fairyland.
She knows that pal lies on Mondays, Tuesdays and Wednesdays and tells the
truth on the other days of the week byte, on the other hand, lies on
Thursdays, Fridays and Saturdays, but tells the truth on the other days of the
week. Now they make the following statements to Alice – pal. Yesterday was one
of those days when I lie byte. Yesterday was one of those days when I lie too.
What day is it?

a) Thursday b) Tuesday c) Monday d) Sunday

Ans: a

_________________________________________________________________________

a) Thursday b) Tuesday c) Monday d) Sunday

Ans: a

_________________________________________________________________________

1) Two pipes A and B fill at A certain
rate B is filled at 10,20,40,80,. If 1/16 of B if filled in 17 hours
what time it will take to get completely filled

Ans 21

2) In a shopping mall with a staff of 5 members the average age
is 45 years. After 5 years a person joined them and the average age is again 45
years. What’s the age of 6th person?

3) Find (4x+2y)/ (4x-2y) if x/2y=2

4) Find average speed if a man travels at speed of 24kmph up and
36kmph down at an altitude of 200m. Formula is 2xy/(x+y)

5) Same model as 4th question. But it is on flat surface.
Formula is same 2xy/(x+y).

6) Six friends go to pizza corner there are 2 types of pizzas.
And six different flavors are there they have to select 2 flavors from 6
flavors. In how many ways we can select?

Ans: 6C2

7) 3, 15, x, 51, 53,159,161. Find X

Ans: 17

8) 3 friends A, B, C went for week end party to McDonald’s
restaurant and there they measure there weights in some order IN 7 rounds.
A;B;C;AB;BC;AC;ABC. Final round measure is 155 kg then find the average weight
of all the 7 rounds?

Ans: 4(155)/7=31

9) There is a toy train that can make 10 musical sounds. It
makes 2 musical sounds after being defective. What is the probability that same
musical sound would be produced 5 times consecutively? (1 of )?

Ans: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

Ans: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

10) (There was a long story, I'll cut short it). There are 5
materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic.
To make a perfume that is in demand the following conditions are to be
followed: Lilac and Balsamic go together. Woody and MI mosaic go together;
Woody and Balsamic never go together. Lemon can be added with any material.
(Actually they had also mentioned how much amount of one can be added with how
much quantity of the other; but that's not needed for the question.) All of the
following combinations are possible to make a perfume except:

1) Balsamic and Lilac

2) Woody and Lemon

3) MI mosaic and Woody

4) MI mosaic and Lilac

11) A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value). What will be the area of the square made from the same rope?

1) Balsamic and Lilac

2) Woody and Lemon

3) MI mosaic and Woody

4) MI mosaic and Lilac

11) A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value). What will be the area of the square made from the same rope?

Ans: ((A+B+C)/4)2

12) What is the distance of the z-intercept from the x-intercept
in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).

Ans: sqrt ((d/a) 2+ (d/c) 2)

13) A scientist in Antarctic region conducts research on bears
came to know that bears changes according to the location .once he moves 1 mile
towards north, then he moves 2 miles towards east, then 1 mile towards south.
Now the color of bear he found will be in:

Ans: white

14) (1/3) of a number is 3 times more than the (1/6) of the same
number?

Ans is 18

15) There are 11 boys in a family. Youngest child is a boy. What
is the probability of all are boys?

a) 2 b) 2!
C) 2048 d) 1024

16) A boy bought a roll A of 56 inches wide and 141 yards long.
He also bought B of 77 inches wide of length 333yards. We don’t want any details
of B. Some irrelevant matter. Final question is Time taken for cutting A into 1
yard piece is 2 seconds. Time taken to cut into 141 pieces of 1 yard each is?

Ans is 2(141) =242

17) A Person buys a horse for 15 ponds, after one year he sells
it for 20 pounds. After one year, again he buys the same horse at 30 pounds and
sells it for 40 pounds. What is the profit for that person?

Ans is 15 pounds

18) John buys a cycle for 31 dollars and given a cheque of
amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave
change to John. After 2 days, it is known that cheque is bounced. Shop keeper
paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is
the profit/loss for shop keeper?

Ans is 23(cost price + change given).

19) In a family there are some boys and girls. All boys told
that they are having equal no of brothers and sisters and girls told that they
are having twice the no. of brothers than sisters. How many boys and girls
present in a family?

Ans is 4 boys and 3 girls

20) There are certain number of hats and gloves in a box. They
are of 41 red, 23 green, 11 orange. Power gone. But a woman can differentiate
between hats and gloves.How many draws are required to obtain a pair of each
color.

21) There is a die with 10 faces. It is not known that fair or
not. 2 captains want to toss die for batting selection. What is the possible
solution among the following?

a) If no. is odd it is head, if no. is even it is tail

b) If no. is odd it is tail, if no. is even it is head

c) Toss a die until all the 10 digits appear on top face. And if
first no. in the sequence is odd then consider it as tail. If it is even
consider it as head.

I didn’t remembered last option and I don’t know answer.

22) 2 years ago of A is x times that of B. 3 Years hence the age
of A is 4/3 times of B. What is the present age of B in binary form?

I didn’t remember the exact values of x and y. You can solve
easily.

23) metal strip of width ‘x’ cm. 2 metal strips are placed one
over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are
placed in that manner. What is the final width of that arrangement?

Ans is (z-1) (y-x) +x.

24) There are 100 men and 100 women on the dance floor. They
want to dance with each other. Then which of the following statements is always
true:

a) There are 2 men who danced with equal no. of women’s

b) There are 2 women who danced with equal no. of men

25) A game is played between 2 players and one player is
declared as winner. All the winners from first round are played in second
round. All the winners from second round are played in third round and so on.
If 8 rounds are played to declare only one player as winner, how many players
are played in first round

Ans is 2

^{8.}
26) There are 3 boys A, B, C and 2 Girls D, E. D always sit
right to A. Girls never sit in extreme positions and in the middle position. C
always sits in the extreme positions. Who is sitting immediate right to E?

Ans is B or C

27) 49 members attended the party. In that 22 are males, 17 are
females. The shake hands between males, females, male and female. Total 12
people given shake hands. How many such kinds of such shake hands are possible?

Ans is

^{12}C_{2}
28) There are 1000 pillars for a temple. 3 friends Linda,
Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than
Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find
the correct sentence?

a) Linda is shorter among them

b) Chelsea is taller than Julia

c) Chelsea is shorter than Julia

d) Cannot determine who is taller among Chelsea and Julia

Ans: d

29) Entry ticket to an exhibition ranges from 1p to 31p. You
need to provide exact change at the counter. You have 31p coin. In how many
parts will u divide 31p so that u will provide the exact change required and
carry as less coins as possible?

a) 22 b) 31 c) 6 d) 32

Ans is 6

30) There are 2 friends Peter and Paul. Peter age is twice as
old as Paul when peter was as old as Paul is now. Sum of the present ages of
Peter and Paul is 35.What is the present age of Peter?

Ans is 20

31) A lady took out jacket and gloves, which are avialable
in blue 26, yellow 30 and red 56. Power goes off, she can distinguish between
gloves and jacket but not in colors. What's the possibilty their she will pick up pair of gloves of
each color.

32) Two bowls are taken, one contains water and another contains
tea.one spoon of water is added to second bowl and mixed well, and
a spoon of mixture is taken from second bowl and added to the second bowl.
Which statement will hold good for the above?

(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)

(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)

33)
Rearrange and categorize the word ‘RAPETEKA’?

Ans: bird(parakeet)

Ans: bird(parakeet)

34) A
lies on mon, tues, wed and speak truths on other days, B lies on Thurs, Fri,
Sat and speaks truths on other days. One day a said I lied today and B said I
too lied today. What is the day?

35) One grandfather has three
grandchildren, two of their age difference is 3, eldest child age is 3 times
youngest child’s age and eldest child’s age is two times of sum of other two
children. What is the age of eldest child?

Ans: 18

_________________________________________________________________________

Ans: 18

_________________________________________________________________________

1)
Now pet's age is to times when paul was once. But at that time paul's
age=pet's current age ,how old is pet?

2) Block has 10,9,5 size, how many unit cube is needed to make a block of that size?

3) 23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.

Ans-22

4) 10men and 10 women are there, they dance with each other, is there possibilty that 2 men are dancing with same women and vice versa.

Ans-never

5) A lady took out jacket and gloves, which are avialable in blue 26, yellow 30 and red 56. Power goes off, she can distinguish between gloves and jacket but not in colors. What's the possibilty their she will pick up pair of gloves of each color

6) B is taller than j and 3 pillers. P is shorter than B and 2 pillers is j shorter/taller than P?

Ans-irrelevant question

7) Sangakara and ponting selects batting by using a dice, but dice is biased so to resolve ponty takes out a coin, what is the probability that dice shows correct option.

8) In school there are some bicycles and 4wheeler wagons. One Tuesday there are 58 wheels in the campus. How many bicycles are there?

Ans: 7

9. Two bowls are taken, one contains water and another contains tea.one spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?

(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)

10. Which is the smallest no divides 2880 and gives a perfect square?

a. 1 b.2 c.5 d.6

Ans: c

11. Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by4?

a. 31250 b.97656 c.78125 d.97657

Ans: c

12. One problem on (a3-b3)/(a2+ab+b2)

Ans: ‘a-b’

13. Rearrange and categorize the word ‘RAPETEKA’?

Ans: bird(parakeet)

14. Key words in question (Fibonacci series, infinite series, in the middle of the question one number series is there. I got the series 3 12 7 26 15 b?

Ans:54

2) Block has 10,9,5 size, how many unit cube is needed to make a block of that size?

3) 23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.

Ans-22

4) 10men and 10 women are there, they dance with each other, is there possibilty that 2 men are dancing with same women and vice versa.

Ans-never

5) A lady took out jacket and gloves, which are avialable in blue 26, yellow 30 and red 56. Power goes off, she can distinguish between gloves and jacket but not in colors. What's the possibilty their she will pick up pair of gloves of each color

6) B is taller than j and 3 pillers. P is shorter than B and 2 pillers is j shorter/taller than P?

Ans-irrelevant question

7) Sangakara and ponting selects batting by using a dice, but dice is biased so to resolve ponty takes out a coin, what is the probability that dice shows correct option.

8) In school there are some bicycles and 4wheeler wagons. One Tuesday there are 58 wheels in the campus. How many bicycles are there?

Ans: 7

9. Two bowls are taken, one contains water and another contains tea.one spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?

(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)

10. Which is the smallest no divides 2880 and gives a perfect square?

a. 1 b.2 c.5 d.6

Ans: c

11. Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by4?

a. 31250 b.97656 c.78125 d.97657

Ans: c

12. One problem on (a3-b3)/(a2+ab+b2)

Ans: ‘a-b’

13. Rearrange and categorize the word ‘RAPETEKA’?

Ans: bird(parakeet)

14. Key words in question (Fibonacci series, infinite series, in the middle of the question one number series is there. I got the series 3 12 7 26 15 b?

Ans:54

(Logic: 3*2+1=7 12*2+2=26

7*2+1=15 26*2+2=54)

15. A father has 7 penny’s with him and 1 water melon is for 1p, 2chickoos for 1p, 3 grapes foe 1p. He has three sons. How can he share the fruits equally?

Ans: 1 watermelon, 2chickoos, 1grape

16. A lies on mon, tues, wed and speak truths on other days, B lies on thur, fri, sat and speaks truths on other days.. one day a said I lied today and B said I too lied today. What is the day?

17. Man, Bear, North, South, Walks.

Ans: White

18. (1/2) of a number is 3 times more than the (1/6) of the same number?

Ans: 9(for any no it can be true)

19. There are two pipes A and B. If A filled 10 liters in hour B can fills 20 liters in same time. Likewise B can fill 10, 20, 40, 80,160. If B filled in (1/16) th of a tank in 3 hours, how much time will it take to fill completely?

Ans: 7 hours

20. Keywords: T.Nagar, Chennai, 1-100, prime numbers b/n 140-180, How many 2’s are there?

Ans: 20 (Not only 2’s ,1’s,3’s,4’s,5’s,6’s,7’s,8’s,9’s,0’s also 20)

21. One question has last part like difference between two terms is 9 and product of two numbers is 14, what is the squares of sum of numbers?

Ans: 109

22. A man is standing before a painting of a man and he says I have no bro and sis and his father is my father’s son?

Ans: His son

23. What is the value of [(3x+8Y)/(x-2Y)]; if x/2y=2?

Ans: 10 {the numerical may change)

24. A pizza shop made pizzas with to flavours.in home there are ‘N’ different flavors, in that ‘M’ flavors are taken to made pizza.in how many ways they can arrange?

(Logic: NcM )

25. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

Ans: 18

26. In a market 4 man are standing. The average age of the four before 4 years is 45, aftyer some days one man is added and his age is 49. What is the average weight of all?

Ans: 49

27. Keywords: One organization, material, labor and maintenance are in the ratio of 4:6:7, the material cost is: 100, what is the total cost?

Ans: 425

28. Keywords: Density, Reluctance, Sensitivity, Voltage, Current, what is the Resistance Formula is “R=V/I”

29. Keywords: Sports readers, 10 tables, 4chairs per table, each table has different number of people then how many tables will left without at least one person?

Ans : 6

30. Keywords: Die, card, coin, b/n 2 to 12

Ans: All are equal

31. In a school for a student out of a 100 he got 74 of average for 7 subjects and he got 79 marks in 8th subject. what is the average of all the subjects?

The extra 5 marks will be distributed in 8 semester, 5/8=.625

74+.625=74.625

32. In a question ,last part has ,the ages of two people has the ratio of 6:5 and by adding the numbers we get 44,after how many years the ratio would be 8:7?

Ans: 8

33. Two years before Paul’s age is 2times the Alice age and the present age of Paul is 6times the Alice. What is the presents Paul’s age?( 3years) “You try to solve this question once”

34. One train travels 200m from A to B with 70 km/ph. and returns to A with 80kmph, what is the average of their speed?

Just go and hit't

7*2+1=15 26*2+2=54)

15. A father has 7 penny’s with him and 1 water melon is for 1p, 2chickoos for 1p, 3 grapes foe 1p. He has three sons. How can he share the fruits equally?

Ans: 1 watermelon, 2chickoos, 1grape

16. A lies on mon, tues, wed and speak truths on other days, B lies on thur, fri, sat and speaks truths on other days.. one day a said I lied today and B said I too lied today. What is the day?

17. Man, Bear, North, South, Walks.

Ans: White

18. (1/2) of a number is 3 times more than the (1/6) of the same number?

Ans: 9(for any no it can be true)

19. There are two pipes A and B. If A filled 10 liters in hour B can fills 20 liters in same time. Likewise B can fill 10, 20, 40, 80,160. If B filled in (1/16) th of a tank in 3 hours, how much time will it take to fill completely?

Ans: 7 hours

20. Keywords: T.Nagar, Chennai, 1-100, prime numbers b/n 140-180, How many 2’s are there?

Ans: 20 (Not only 2’s ,1’s,3’s,4’s,5’s,6’s,7’s,8’s,9’s,0’s also 20)

21. One question has last part like difference between two terms is 9 and product of two numbers is 14, what is the squares of sum of numbers?

Ans: 109

22. A man is standing before a painting of a man and he says I have no bro and sis and his father is my father’s son?

Ans: His son

23. What is the value of [(3x+8Y)/(x-2Y)]; if x/2y=2?

Ans: 10 {the numerical may change)

24. A pizza shop made pizzas with to flavours.in home there are ‘N’ different flavors, in that ‘M’ flavors are taken to made pizza.in how many ways they can arrange?

(Logic: NcM )

25. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

Ans: 18

26. In a market 4 man are standing. The average age of the four before 4 years is 45, aftyer some days one man is added and his age is 49. What is the average weight of all?

Ans: 49

27. Keywords: One organization, material, labor and maintenance are in the ratio of 4:6:7, the material cost is: 100, what is the total cost?

Ans: 425

28. Keywords: Density, Reluctance, Sensitivity, Voltage, Current, what is the Resistance Formula is “R=V/I”

29. Keywords: Sports readers, 10 tables, 4chairs per table, each table has different number of people then how many tables will left without at least one person?

Ans : 6

30. Keywords: Die, card, coin, b/n 2 to 12

Ans: All are equal

31. In a school for a student out of a 100 he got 74 of average for 7 subjects and he got 79 marks in 8th subject. what is the average of all the subjects?

The extra 5 marks will be distributed in 8 semester, 5/8=.625

74+.625=74.625

32. In a question ,last part has ,the ages of two people has the ratio of 6:5 and by adding the numbers we get 44,after how many years the ratio would be 8:7?

Ans: 8

33. Two years before Paul’s age is 2times the Alice age and the present age of Paul is 6times the Alice. What is the presents Paul’s age?( 3years) “You try to solve this question once”

34. One train travels 200m from A to B with 70 km/ph. and returns to A with 80kmph, what is the average of their speed?

Just go and hit't

Q1:
There is a toy train that can make 10 musical sounds. It makes 2 musical sounds
after being defective. What is the probability that same musical sound would be
produced 5 times consecutively? ( 1 of )

Answer: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

32 will be the answer. (My friends got similar question with "3 times consecutively"; for that the answer would be 8)

Answer: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

32 will be the answer. (My friends got similar question with "3 times consecutively"; for that the answer would be 8)

Q2:
Peter and Paul are two friends. The sum of their ages is 35 years. Peter is
twice as old as Paul was when Peter was as old as Paul is now. What is the
present age of Peter?

Luckily, I had this question twice. Initially I left it because of the confusing statement but when I got the same question second time with different names of the friends (Pooja and Prasad) then I gave a little extra time and solved it.

Answer: 20 years. I simply substituted the answers in the statement to find the best fit, because the statement in the question was pretty confusing.

Luckily, I had this question twice. Initially I left it because of the confusing statement but when I got the same question second time with different names of the friends (Pooja and Prasad) then I gave a little extra time and solved it.

Answer: 20 years. I simply substituted the answers in the statement to find the best fit, because the statement in the question was pretty confusing.

Q3:
The ages of two friends is in the ratio 5:6. After how many years will the ages
be in the ratio 7:8?

Answer: 10 years.

Answer: 10 years.

Q4:
(There was a long story, I'll cut short it). There are 5 materials to make a
perfume: Lilac, Balsalmic, Lemon, Woody and Mimosaic. To make a perfume that is
in demand the following conditions are to be followed: Lilac and Balsalmic go
together. Woody and Mimosaic go together, Woody and Balsalmic never go
together. Lemon can be added with any material. (Actually they had also
mentioned how much amount of one can be added with how much quantity of the
other; but that's not needed for the question.) All of the following
combinations are possible to make a perfume EXCEPT:

1) Balsalmic and Lilac

2) Woody and Lemon

3) Mimosaic and Woody

4) Mimosaic and Lilac

Answer: Mimosaic and Lilac. I have made the question here really easy to understand. But the actual question was in a twisted language and it was difficult to find the answer. It took me some time to get to the answer.

1) Balsalmic and Lilac

2) Woody and Lemon

3) Mimosaic and Woody

4) Mimosaic and Lilac

Answer: Mimosaic and Lilac. I have made the question here really easy to understand. But the actual question was in a twisted language and it was difficult to find the answer. It took me some time to get to the answer.

Q5:
A girl has to make pizza with different toppings. There are 8 different
toppings. In how many ways can she make pizzas with 2 different toppings.

Answer: 8 * 7 = 56

Answer: 8 * 7 = 56

Q6:
A triangle is made from a rope. The sides of the triangle are A cm, B cm and C
cm. (I do not remember the numerical value). What will be the area of the
square made from the same rope?

Q7:
What is the distance of the z-intercept from the x-intercept in the equation
ax+by+cz+d=0. (I do not remember the values of a,b,c,d)

Q8:
An athlete decides to run the same distance in 1/4th less time that she usually
took. By how much percent will she have to increase her average speed?

Answer: 33.33%

Answer: 33.33%

Q9:
A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach
the pony. If the average speed of the horse is 35 kmph, what s the average
speed of the pony? (This question was really long with loads of irrelevant
statement)

Represent the blank spaces. Who played the
last chance (x or o)?

1.
One man want to build a wall the length and breadth of the wall are 20, 30
respectively. He need 35 bricks for one square centimeter then how many bricks
he need?

Ans:
l*b*35(no of bricks needed for sqcm)

2.
One person had three children. He has 7 pennis. Then how he can distribute the
fruits among his child by folloing conditions.

a)he
can get one water millon for 1 penny.

b)he
can get 2 oranges for 1 penny.

c)he
can get 3 grapes for 1 penny.

Ans:
2 water millon 1 orange 1 grape

3.
1/3 rd of a number is more 3 than the 1/6

^{th}of a number then find the number?
Ans:18

4. In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering?

Ans:

For 1 to 10 - 1 six

2 to 20 - 1 six

Similarly upto 59 we utilise six, 5 times

from 60 to 69 (including 66) - 11 times

from 70 to 100 - 3, hence ans = 5+11+3 = 19

Ans:19.

4. In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering?

Ans:

For 1 to 10 - 1 six

2 to 20 - 1 six

Similarly upto 59 we utilise six, 5 times

from 60 to 69 (including 66) - 11 times

from 70 to 100 - 3, hence ans = 5+11+3 = 19

Ans:19.

5.
One grand father has 3 grand child. Eldest one age is 3 times of the youngest
child age. Sum of two youngest child age is more than two of eldest one age.
Find the eldest one age?

Ans:
15(we can easily predict from options, as we take y as 15)

6.
Difefrence between two numbers is 4 and their product is 17. Then find the sum
of their squers?

Ans:
70 (By using (x-y)2=x2+y2-2xy)

7.
I don't remember exactly the question, one logical problem stating the colour
of beer?

Ans: white.

Ans: white.

8.
Find category from following Jumbled letters, parakeet(answer)

Ans: Bird(category)

Ans: Bird(category)

9.
Which is the smallest digit when devides the 2880 gives perfect squre.?

Ans:5(we
can easily predict from options, as we devides them with 2880)

10.
One question like. formule?

Ans: Here you can use the (a-b)3=(a-b)(a2+ab+b2)formule).

11. I don’t have any brothers and sisters.by pointing a picture that man said that his father is my fathers. Son then who is he?

Ans: His son.

Ans: Here you can use the (a-b)3=(a-b)(a2+ab+b2)formule).

11. I don’t have any brothers and sisters.by pointing a picture that man said that his father is my fathers. Son then who is he?

Ans: His son.

12. 6
persons standing in queue with different age group, after two years their
average age will be 43 and seventh person joined with them. hence the current
average age has become 45. Find the age of seventh person?

Solution: Here the question appear as an easy one, but carried a lot of unwanted sentences and unwanted datas(i didn't mention above) in exam which may confuse you on solving technique.

So now we can compute x from above equation. (x = 41, 6x = 246)

Let now we compute y,((6x+y)/7) = 45, as we have value of x, compute y.

Ans: 69

Solution: Here the question appear as an easy one, but carried a lot of unwanted sentences and unwanted datas(i didn't mention above) in exam which may confuse you on solving technique.

So now we can compute x from above equation. (x = 41, 6x = 246)

Let now we compute y,((6x+y)/7) = 45, as we have value of x, compute y.

Ans: 69

13.The
ratio between the ages of two pwrsons is 6:5 and sum of there ages is 77 then
how many years later there ratio becomes 8:7?

Ans:
we can easily predict from options

14.
Horse started to chase dog as it relieved stable two hrs ago. And horse started
to ran with average speed 22km/hr, horse crossed 10 mts road and two small
pounds with depth 3m, and it crossed two small street with 200 mts length.
After traveling 6 hrs, 2hrs after sunset it got dog. compute the speed of dog?

Ans: As we have speed and travel time of horse, we can get distance travelled by it.

Hence d = 22*6 = 132km,

Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).

Hence speed of dog = 132/8 = 16.5km/hr

Ans:16.5km/hr.

Ans: As we have speed and travel time of horse, we can get distance travelled by it.

Hence d = 22*6 = 132km,

Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).

Hence speed of dog = 132/8 = 16.5km/hr

Ans:16.5km/hr.

15.
Six friends go to pizza corner there are 2 types of pizzas. And six
different flavors are there they has to select 2 flavors from 6 flavors what’s
chanses to select?

Ans:6C2

16.
3, 22 , 7, 45, 15, ? , 31

Solution: Here it appear simple, because it arranged in arranged in sequence manner, but the actual question was some what twist mentioning fibonacci series and more over question was in statements (no numbers). Hence first try to understand the question well.

Here let group alternate terms 3,7,15,31 (3+4 =7, 7+8 =15, 15+16=31)

Similarly for second group (22,45,? (22+23 = 45, 45+46 = 91) hence ans is 91.

Solution: Here it appear simple, because it arranged in arranged in sequence manner, but the actual question was some what twist mentioning fibonacci series and more over question was in statements (no numbers). Hence first try to understand the question well.

Here let group alternate terms 3,7,15,31 (3+4 =7, 7+8 =15, 15+16=31)

Similarly for second group (22,45,? (22+23 = 45, 45+46 = 91) hence ans is 91.

17.
Cycles and 4 wheelors problem?

Ans:
We can easily predict from options

18.
Some irrivvelent data.in last two lines problem will be there. One man walks
certain distance with 5 kmph and walk back the same

Ans:
A

19. A
and B tanks r there.1/8

^{th}of the tank B is filled in 22Hrs.what is time to fill the tank full?
Ans:
I don’t know.

20. 5
friends went for week end party to Mc donalds restrurent and there they
measure there weights. Some irrilevent data. Final measure is 155 kg then find
the average weight of 5 people?

Ans:
155/5=31

21. 2
pots are there. 1

^{st}pot is filled with ink and 2^{nd}pot is filled with water. Take 1 spoon of ink from 1^{st}pot and pore it in 2^{nd}pot and take 1 spoon of mixture from 2^{nd}pot and pore it in 2^{nd}pot then which one of following is true?
Ans:
Water in 1

^{st}pot is less than the ink in 2^{nd}pot.
22:
One electronic problem?

Ans:
V=IR

23.There
r ten spots in library and each spot has 4 tables and ten readers ar there .
sorry I don’t remember complete question?

Ans:
None

24.
Lion and tiger are there. Lion lies on Monday, Tues, Wends and Tiger lies on
Thurs, Frid, Sat. Lion said that today is one of those days when I lies. Tiger
said that today is one of those days when I lie too. Then find today?

Ans: Thursday

**Aptitude questions**(35)

1. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person?

Solution: It is given as after 2 year average age wiil be 43 so now the average is 2 year.

After addition of 7

^{th}person average is 45 so 7^{th}person wiil be 45+(6*(45-4))
Ans: 69

2. Horse started to chase dog as it relieved stable two hrs ago. And horse started to ran with average speed 22km/hour, Horse crossed 10 mts road and two small pounds with depth 3m, and it crossed two small street with 200 mts length. After traveling 6 hours, 2hours after sunset it got dog. Compute the speed of dog?

Ans: As we have speed and travel time of horse, we can get distance travelled by it.

Hence d = 22*6 = 132km,

Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).

Hence speed of dog = 132/8 = 16.5km/hr

Ans:16.5km/hr.

3. 3, 22 , 7, 45, 15, ? , 31

Solution: Here it appear simple, because it arranged in arranged in sequence manner, but the actual question was some what twist mentioning fibonacci series and more over question was in statements (no numbers). Hence first try to understand the question well.

Here let group alternate terms 3,7,15,31 (3+4 =7, 7+8 =15, 15+16=31)

Similarly for second group (22,45,? (22+23 = 45, 45+46 = 91) hence ans is 91.

4. In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering?

Ans:

This type of question if it is asked how many 2,3,4,5,6,7,8,9 then you bindly write the answer as 20. But for 1 answer will be 21 as 100 is included

2. Horse started to chase dog as it relieved stable two hrs ago. And horse started to ran with average speed 22km/hour, Horse crossed 10 mts road and two small pounds with depth 3m, and it crossed two small street with 200 mts length. After traveling 6 hours, 2hours after sunset it got dog. Compute the speed of dog?

Ans: As we have speed and travel time of horse, we can get distance travelled by it.

Hence d = 22*6 = 132km,

Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).

Hence speed of dog = 132/8 = 16.5km/hr

Ans:16.5km/hr.

3. 3, 22 , 7, 45, 15, ? , 31

Solution: Here it appear simple, because it arranged in arranged in sequence manner, but the actual question was some what twist mentioning fibonacci series and more over question was in statements (no numbers). Hence first try to understand the question well.

Here let group alternate terms 3,7,15,31 (3+4 =7, 7+8 =15, 15+16=31)

Similarly for second group (22,45,? (22+23 = 45, 45+46 = 91) hence ans is 91.

4. In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering?

Ans:

This type of question if it is asked how many 2,3,4,5,6,7,8,9 then you bindly write the answer as 20. But for 1 answer will be 21 as 100 is included

5. ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2

Ans: as x=2y put the value and get the answer.

6: If we subract a number with y, we get 4 increase of number, once it got divided by y itself. Find that number?

Ans: 12 (we can easily predict from options, as we take y as 6)

7. I don't remember exactly the question, one logical problem stating the colour of beer?

Ans: white. What ever the question about the color of beer means you wrote the answer as white because polar beer. This question is very lengthy don’t burther about that.

8. Jumbled letters, parakeet(answer)

Ans: Bird(category)

9. One question like. (209*144)^2 + (209*209)+(209*144)+(144*144) = ?

Ans: here you can use calc, many(4 to 5) questions were depend upon calc alone.(no need problem solving technique).

10. I'm only son for my parents. (some irrelevant statements in the middle to distract you). The man in picture is my father's son (some irrelevant statements). Who is he?

A toy train can make 10 sounds sound changes aftr every 4 min, now
train is defective and can make only 2 sounds. Find probability that same sound
is repeated 3 times consecutively(1 out of)?

1. 16 2. 8 3. 12 4. 4

Ans:

(1/2)*(1/2)*(1/2)=(1/8)

Thus 1 out of 8

1. 16 2. 8 3. 12 4. 4

Ans:

(1/2)*(1/2)*(1/2)=(1/8)

Thus 1 out of 8

11. Resistance is X ohm voltage Y then what is current

Ans: V=IR

Ans: V=IR

12. I have 3 grandsons, age different between 2 of grandsons
X years, 1st grandson is twice elder than younger one adiition off ages of all
the three is y than what is age of eldest grandson?(There is some value inX and
Y).

13. Ferrari is leading car manufacturer.*Ferrari S.p.A.* is an
Italian sports car. It has enjoyed great success. If Mohan's Ferrari is 3 times
faster than his old Mercedes wich gave him 35kmph if Mohan travelled 490 km in
his ferrari the hw much time(hours) he took?

1. 8 2. 4 3. 7 4. 7.33

(Options may be different)

1. 8 2. 4 3. 7 4. 7.33

(Options may be different)

114

Lion rat stayin in jungle happily.

Lion lies on: Mon, Tue, Wed

Rat lies on:Wed, Thurs Sat

If lion says: I didn't lie yesterday

Rat says: e1 i didnt lie yesterday

So what day is today?

Lion rat stayin in jungle happily.

Lion lies on: Mon, Tue, Wed

Rat lies on:Wed, Thurs Sat

If lion says: I didn't lie yesterday

Rat says: e1 i didnt lie yesterday

So what day is today?

14. The ratio of current age of X and Y is 5:7, after hw many
years der age ratio will b 7:9?

15. Inspired by fibonacci series sanket decided to create is own
series which is 1,2,3,7,7,22,15,67, like this, then what no come immediately
before 63?

Ans: 202

Explanation: Check altenate no.1,3,7,15=====>n*2+1

Similarly 2,7,22,67=======>n*3+1

So series is 1,2,3,7,7,22,15,67,31,202,63.

Ans: 202

Explanation: Check altenate no.1,3,7,15=====>n*2+1

Similarly 2,7,22,67=======>n*3+1

So series is 1,2,3,7,7,22,15,67,31,202,63.

16. By using 1,2,3,4,5, how many 5 digit no. can be formed which
is divisible by 4, repetation of no. is allowed?

Ans: Last 2 place should be divisible by 4

So possible values at last place are 12,24,32,44,52 this can be arranged in 5 ways

The rest 3 places can be filled in 5*5*5 way so total is 5^4

Ans: Last 2 place should be divisible by 4

So possible values at last place are 12,24,32,44,52 this can be arranged in 5 ways

The rest 3 places can be filled in 5*5*5 way so total is 5^4

17. The cost 1 plum is 1 cent, 2 apples is 1 cent, 3 banana is 1
cent. If Rahul buys same amount of fruits for his 3 sons spending 7 cent then
what amount of fruit each child will get?

Ans: 1 plum, 2 apple, 1 banana

Explanation: 7/3=2.333 cents for each child

according to ans given for d sum each child will get 1 plum, 2 apple, 1 banana

18. 2880 is divided by which smallest no. So we get no. which is perfect square?

Ans= 5

Explanation: 2880/5=576 sure sort question.

Explanation: 7/3=2.333 cents for each child

according to ans given for d sum each child will get 1 plum, 2 apple, 1 banana

18. 2880 is divided by which smallest no. So we get no. which is perfect square?

Ans= 5

Explanation: 2880/5=576 sure sort question.

19. There are to prime no(with some nonsence stuff) then addition
of two prime no is 13, and multiplication is 21, then what are some of there
squares?

Explanation: XY=21 and X+Y=13. Solve using calci

Explanation: XY=21 and X+Y=13. Solve using calci

Ans of X & Y will b in points. Then x2+y2=??

20. Smita was makin 1 design(again some nonsence) size of larger cube to be made is 5*5*5 using smaller cubes of 1*1*1. She created solid larger cube Then she decided to make hollow cube. Then how many 1*1*1 cubes required to make hollow larger cube

Ans= 104

Explanation: (25+25)+(15+15)+(12+12)=104

21. 2X/5Y=5X/3Y Then what is x/y

22. A pizza parlor provides pizzas. There were 2 toppings
available initially peperoni and salami.

But now they, have introduces 8 new toppings(some names) to select from. A person wishes to buy two different pizzas of new topping in how many ways he can do that?

Ans: 8 X 7=56

But now they, have introduces 8 new toppings(some names) to select from. A person wishes to buy two different pizzas of new topping in how many ways he can do that?

Ans: 8 X 7=56

23. Person travels to(some nonsence stuff). If he goes from A to B
with speed of 4kmph and

returns back to B with speed of 5 kmph. What is his average. Speed of Journey? (Values may be different)

returns back to B with speed of 5 kmph. What is his average. Speed of Journey? (Values may be different)

Ans: 4.44(It's not 4.5)

Explaination: 2PQ/(P+Q)===2*4*5/(4+5)=4.44kmph

Explaination: 2PQ/(P+Q)===2*4*5/(4+5)=4.44kmph

24. There is a dice having value from 1 6 on each face and a pack
of cards having face card aces(hugh chunk of nonsense). When 2 dies are thrown
and their scores are added then which sum will come max number of times?

1. 8 2. 9 3. 10 4. 11

Ans: 8

Explanation: 8-2,6 3,5 4,4

9-4,5 3,6

10-5,5 4,6

11-5,6

Thus 8's probability is more

1. 8 2. 9 3. 10 4. 11

Ans: 8

Explanation: 8-2,6 3,5 4,4

9-4,5 3,6

10-5,5 4,6

11-5,6

Thus 8's probability is more

25. ''Susha brought terilon cloth and rope to(some nonsence now
just go to last 2 lines)''. If rope is 153 meter long and it is to be cut into
pieces of 1 meter long then how many times will she have to cut it?

Ans: 152 times

Ans: 152 times

26. There are some 2 wheelers and 4 wheelers parked(some nonsense)
total number of wheels present is 240 then how many 4 wheelers were there

Ans:

This can be done by looking at the option first check the no of
bicycles and then multiply it by 2. And then substract the multiplication value
from 240 if the value is divided by 4 then that is the answer

27. 1/3 of a number is 6 more than 1/6 of that number then what is
the number.

Ans=x/3=x/6+6

36

28. The cost of making a robot consists of material cost,
repairing cost, coloring cost and is in the ratio 3:4:5. If the material cost
is 1200 then find out the cost of the robot.

Ans: Simple 3 part is 1200 so 3+4+5=12 part=?

29. There are pepsi 1 litre & oil 1 litre. It is given as 1
spoon of pepsi is aken and is mixed with Oil. Then 1 spoon oil&pepsi is
taken and is mixed with pepsi then which of the condition holds true.

Ans: The amount of pepsi in oil is mre than amount of oil in
pepsi.

30. An tank is filled with water. In first hour 10 lit, in second
hour 20 lit and in 3 rd hour time 40 lit. If time taken to fill ¼ of the
tank is 5 hour. What is the time required to fill up the tank.

Ans: As the water is filled as twice speed
and in 5 the hour ¼. So in 6 hour ½. So answer 7 th hour

1. Which is the smallest no
divides 2880 and gives a perfect square?

a.1
b.2 c.5 d.6

Ans:
c

2. Two bowls are
taken, one contains water and another contains tea.one spoon of water is added
to second bowl and mixed well, and a spoon of mixture is taken from second bowl
and added to the second bowl. Which statement will hold good for the
above?

(Ans:
second liquid in first bowl is smaller than the first mixture in second bowl)

3. Form 8 digit
numbers from by using 1, 2,3,4,5 with repetition is allowed and must be
divisible by4?

a.31250
b.97656 c.78125 d.97657

Ans:
c

4. Rearrange and
categorize the word ‘RAPETEKA’?

Ans:
bird

5. One problem on
(a3-b3)/(a2+ab+b2)

Ans:
‘a-b’

6. In school there are
some bicycles and 4 wheeler wagons. One Tuesday there are 190 wheels in the
campus. How many bicycles are there?

Ans:
15

7. Keywords in
question (Fibonacci series, infinite series, in the middle of the question one
number series is there. I got the series 3 12 7 26b 15?

Ans:54

(Logic:
3*2+1=7
12*2+2=26

7*2+1=15 26*2+2=54)

8. A
lies on mon, tues, wed and speak truths on other days, B lies on thur, fri, sat
and speaks truths on other days. One day a said I lied today and B said I too
lied today. What is the day?

9.
Man, Bear, North, South, walks.

Ans:
White

10. A
father has 7 penny’s with him and 1 water melon is for 1p, 2chickoos for 1p, 3
grapes foe 1p.he has three sons. How can he share the fruits equally?

Ans:
1 watermelon,2chickoos,1grape

11.
(1/2) of a number is 3 times more than the (1/6) of the same number?

Ans:
9

12. There are two pipes
A and B. If A filled 10 liters in hour B can fills 20 liters in same time.
Likewise B can fill 10, 20, 40, 80,160….if B filled in (1/16) th of a tank in 3
hours, how much time will it take to fill completely?

Ans:
7 hours

13. Keywords: T. Nagar,
Chennai, 1-100, prime numbers between 140-180, How many 2’s are there?

Ans:
20 (Not only 2’s ,1’s,3’s,4’s,5’s,6’s,7’s,8’s,9’s,0’s also 20)

14. A man is standing
before a painting of a man and he says I have no bro and sis and his father is
my father’s son?

Ans:
His son

15. One question has
last part like difference between two terms is 9 and product of two numbers is
14, what is the squares of sum of numbers?

Ans:109

16. What is the value
of [(3x+8Y)/(x-2Y)]; if x/2y=2?

Ans:10
{the numerical may change)

17. A pizza shop made
pizzas with to flavours.in home there are ‘N’ different flavors, in that ‘M’
flavors are

taken
to made pizza.in how many ways they can arrange?

(Logic:

^{N}c_{M })
18. One grandfather has
three grandchildren, two of their age difference is 3, eldest child age is 3
times

youngest
child’s age and eldest child’s age is two times of sum of other two children.
What is the age of

eldest
child?

Ans:
15

19. KEYWORDS: one
organization ,material labor and maintenance are in the ratio of 4:6:7,the
material cost

is:100,what
is the total cost?

Ans:
425

20.
KEYWORDS:
density, reluctance, sensitivity, voltage ,current, what is the resistance
Formula is “R=V/I”

21. In a market 4 man
are standing .the average age of the four before 4years is 45,aftyer some days
one man is added and his age is 49.what is the average weight of all?

Ans:
49

22. Keywords: Sports
readers, 10 tables, 4chairs per table, each table has different number of
people then how many tables will left without at least one person?

Ans:
6

23. Keywords: Die,
card, coin, between 2 to 12

Ans:
All are equal

24. In a school for a
student out of a 100 he got 74 of average for 7 subjects and he got 79 marks in
8

^{th}
subject.
what is the average of all the subjects?

Ans:
74.625

25. In a question ,last
part has ,the ages of two people has the ratio of 6:6 and by adding the numbers
we

get
44,after how many years the ratio would be 8:7?

Ans:
8

26.
One train travels 200m from A to B with 70 km/ph. and returns to A with 80kmph,
what is the average of

their
speed?

27. Two years before
Paul’s age is 2times the Alice age and the present age of Paul is 6times the
Alice.

What
is the presents Paul’s age?( 3years) “You try to solve this question once”

These are the questions that I
remember.

1. Alok is attending a workshop "How to do more with
less" and today's theme is Working with fewer digits. The speakers discuss
how a lot of miraculous mathematics can be achieved if mankind (as well as
woman kind) had only worked with fewer digits. The problem posed at the end of
the workshop is how many 5 digit numbers can
be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are
divisible by 4? Can you help Alok find the answer?

a) 375 b) 3125 c) 500 d) 625

a) 375 b) 3125 c) 500 d) 625

Ans:
d

2) A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?

a) 0.75 b) 1 c) 0.25 d) 0.5

Ans: 0.25

3) 36 people {a1, a2, ...,
a36} meet and shake hands in a circular fashion. In other words, there are
totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36},
{a36, a1}. Then size of the smallest set of people such that the rest
have shaken hands with at least one person in the set is

a) 13 b) 18 c) 11 d) 12

a) 13 b) 18 c) 11 d) 12

Ans: 12

4) The IT giant Tirnop has
recently crossed a head count of 150000 and earnings of $7 billion. As one
of the forerunners in the technology front, Tirnop continues to lead the way in
products and services in India. At Tirnop, all programmers are equal in
every respect. They receive identical salaries ans also write code at the same
rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in
total. How long will it take 72 programmers to write 72 lines of code in total?

a) 18 b) 72 c) 6 d) 12

Ans: 12

a) 18 b) 72 c) 6 d) 12

Ans: 12

5) After the typist writes 12 letters and addresses 12
envelopes, she inserts the letters randomly into the envelopes (1 letter
per envelope). What is the probability that exactly 1 letter is inserted in an
improper envelope?

a) 0 b) 1/12 c) 11/12 d) 12/212

Ans: 0

a) 0 b) 1/12 c) 11/12 d) 12/212

Ans: 0

6) A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly and of the statements on this sheet are false.' Which statements are true and which are false?

a) The 39th statement is true and the rest are false. All the statements are false.

b) The odd numbered statements are true and the even numbered statements are false.

c) The even numbered statements are true and the odd numbered statements are false

Ans: A

7) A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement and says "At least n of the statements on this sheet are true." Which statements are true and which are false?

a) The odd numbered statements are true and the even numbered
are false.

b) The first 26 statements are false and the rest are true.

c) The even numbered statements are true and the odd numbered are false.

d) The first 13 statements are true and the rest are false.

Ans: D

b) The first 26 statements are false and the rest are true.

c) The even numbered statements are true and the odd numbered are false.

d) The first 13 statements are true and the rest are false.

Ans: D

8) 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty.

The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The right most person is not questioned. Which of the following possibilities are true?

A. All suspects are lying or the leftmost suspect is innocent.

B. All suspects are lying and the leftmost suspect is innocent .

Neither A nor B

Both A and B

B only

A only

Ans:D

9) Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is

a) 4 b) 3 c) 1 d) 0

Ans: 4

10) The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?

a) 256 b) 64 c) 192 d) 54

Ans: 192

11) 10 people meet and shake hands. The maximum number of handshakes possible if there is to be no "cycle" of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ......, ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, ......, {ak-1, ak}, {ak, a1} shake hands).

a) 9 b) 8 c) 7 d) 6

Ans: 9

12) For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning.

Let's assume such rumors to
be true and that in a match between Ghana and Bolivia, Ghana the stronger team
has a probability of 2/3 of winning the game. What is the probability that Paul
will correctly pick the winner of the Ghana-Bolivia game?

a) 5/9 b) 1/9 c) 2/3 d) 4/9

a) 5/9 b) 1/9 c) 2/3 d) 4/9

Ans: 5/9

13) On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula

d = 4 * √ (t - 8) for t ≥ 8

Where the represents the diameter in mm and t the number of
years since the solar blast. Jagan recorded the radius of some echina at a
particular spot as 8mm. How many years back did the solar blast occur?

a) 12

b) 16

c) 8

d) 24

b) 16

c) 8

d) 24

Just substitute values then you get ans

14) Alok and Bhanu play the following min-max game. Given the
expression

N = 9 + X + Y - Z

Where X, Y and Z are
variables representing single digits (0 to 9), Alok would like to maximize N
while Bhanu would like to minimize it. Towards this end, Alok chooses a single
digit number and Bhanu substitutes this for a variable of her choice (X, Y or
Z). Alok then chooses the next value and Bhanu, the variable to substitute the
value. Finally Alok proposes the value for the remaining variable.

Assuming both play to their optimal strategies, the value of N
at the end of the game would be

a) 27 b) 0.0 c) 20 d) 18

a) 27 b) 0.0 c) 20 d) 18

Ans: 20

15) Lion and tiger are there. Lion lies on Monday, Tues, Wends and Tiger lies on Thurs, Frid, Sat. Lion said that today is one of those days when I lies. Tiger said that today is one of those days when I lie too. Then find today?

1/3 rd of a number is more 3 than the 1/6th of a number then
find the number?

Ans:18

Ans:18

16) Two tanks A and B. A fills 1 ltr/1 hour B fills 10, 20,
30 per hour. If this is (passage unnecessary). If 1/4th tank of B takes 15
hours to fill how much it time will to take to fill complete tank?

Ans:17

17) Out of 7 children the youngest is boy then find the probability that all the remaining children are boys

Ans: 1/2^6 = 1/64

18) A Toy train can make 10 sounds sound changes after every 4 mins, now train is defective and can make only 2 sounds. Find probability that same sound is repeated 5 times consecutively (1 out of)?

Ans: 1/32

19) 20men and 20 women are there, they dance with each other, is
there possibilty that 2 men are dancing with same women and vice versa.

Ans: Never

Ans: Never

20) In school there are some bicycles and 4wheeler wagons. One Tuesday there are 234 wheels in the campus. How many bicycles are there?

Ans: Go with options. Multiply each option with 2 and subtact the obtained no from 234. If it is exactly divisible by 4, that is the answer.

21) A father has 7 penny’s with him and 1 water melon is
for 1p, 2 chickoos for 1p, 3 grapes foe 1p. He has three sons. How can he share
the friuts equally?

Ans: 1 watermelon, 2chickoos, 1grape

Ans: 1 watermelon, 2chickoos, 1grape

22) A piza shop made pizzas with to flavours.
In home there are ‘9’ different flavors, in that ‘2’ flavors
are taken to made piza in how many ways they can
arrange?

(Logic: NcM, N= 9, M=2 )

(Logic: NcM, N= 9, M=2 )

23) One organization, material, labor and maintenance are in the
ratio of 4:6:7, if the material cost is: 272, what is the total cost?

Ans: 4x=272 => x=68; now
total cost = 272 + 6(68)+7(68).

24) 4 years before Paul’s age is 3times the Alice age and
the present age of Paul is 6times the Alice. What is the presents Paul’s age?

Ans: x-4 = 3(y-4); x=6y: Solve you will get it.

25) In a question, last part has, the ages of two people has the
ratio of 6:5 and by adding the numbers we get 55, after how many years the
ratio would be 8:7?

Ans: Easy you can do it, simple equtions

Ans: Easy you can do it, simple equtions

26)
In a room (unwanted stuff) Sports readers, 10 tables, 4 chairs per table,
each table has different number of people then how many tables will left
without at least one person?

Ans : 6

Ans : 6

On
the planet Oz, there are 8 days in a week- Sunday to Saturday and another day
called Oz day. There are 36 hours in a day and each hour has 90 min while each
minute has 60 sec. As on earth, the hour hand covers the dial twice every day.

1) Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am.

a) 71 b) 251 c) 111 d) 89

Ans: 89

2)
The IT giant Tirnop has recently crossed a head count of 150000 and earnings of
$7 billion. As one of the forerunners in the technology front, Tirnop continues
to lead the way in products and services in India. At Tirnop, all programmers
are equal in every respect. They receive identical salaries ans also write code
at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines
of code in total. How long will it take 72 programmers to write 72 lines of
code in total?

a) 6
b) 12 c) 72 d) 18

Ans:
12

3) A
hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller
cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted,
totally how many faces of the smaller cubes remain unpainted?

a)
800 b) 488 c) 900 d) 500

Ans:
488

4)
The IT giant Tirnop has recently crossed a head count of 150000 and earnings of
$7 billion. As one of the forerunners in the technology front, Tirnop continues
to lead the way in products and services in India. At Tirnop, all programmers
are equal in every respect. They receive identical salaries ans also write code
at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines
of code in total. How many lines of code can be written by 72 programmers in 72
minutes?

a) 432
b) 6 c) 12 d) 72

Ans:
432

5)
Ferrari S.p.A. is an Italian sports car manufacturer based in Maranello, Italy.
Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored
drivers and manufactured race cars before moving into production of
street-legal vehicles in 1947 as Ferrari S.p.A.. Throughout its history, the
company has been noted for its continued participation in racing, especially in
Formula One, where it has enjoyed great success. Rohit once bought a Ferrari.
It could go 2 times as fast as Mohit's old Mercedes. If the speed of Mohit's
Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952 km, find
the total time taken in hours for Rohit to drive that distance.

a) 15.88 b) 14.88 c) 476
d) 29.75

Ans: 14.88

6)
Given a collection of points P in the plane, a 1-set is a point in P that can
be separated from the rest by a line; i.e. the point lies on one side of the
line while the others lie on the other side. The number of 1-sets of P is
denoted by n1(P). The maximum value of n1(P) over all configurations P of 10
points in the plane is

a)
5 b) 3 c) 9 d) 10

Ans:
10

The
teacher is testing a student's proficiency in arithmetic and poses the
following question.

7)
1/3 of a number is 3 more than 1/6 of the same number. What is the number? Can
you help the student find the answer?

a) 18 b) 21 c) 12 d) 6

Alok and Bhanu play the following min-max
game. Given the expression

N = 12 + X*(Y - Z)

Where X, Y and Z are variables representing
single digits (0 to 9), Alok would like to maximize N while Bhanu would like to
minimize it. Towards this end, Alok chooses a single digit number and Bhanu
substitutes this for a variable of her choice (X, Y or Z). Alok then chooses
the next value and Bhanu, the variable to substitute the value. Finally Alok
proposes the value for the remaining variable. Assuming both play to their
optimal strategies, the value of N at the end of the game would be

a) 93 b) 12 c) -69
d) 30

Ans: 12

8) The pacelength P is the distance between
the rear of two consecutive footprints. For men, the formula, n/P = 144 gives
an approximate relationship between n and P where, n = number of steps per
minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The
formula applies to Bernard's walking. Calculate Bernard's walking speed in
kmph.

a) 23.62 b) 8.78 c)
11.39 d) 236.16

Ans: 23.62

9) There are two boxes, one containing 10
red balls and the other containing 10 green balls. You are allowed to move the
balls between the boxes so that when you choose a box at random and a ball at
random from the chosen box, the probability of getting a red ball is maximized.
This maximum probability is

a) 3/4 b) 37/38
c) 1/2 d) 14/19

Ans: 14/19

10) A hare and a tortoise have a race along
a circle of 100 yards diameter. The tortoise goes in one direction and the hare
in the other. The hare starts after the tortoise has covered 1/5 of its
distance and that too leisurely. The hare and tortoise meet when the hare has
covered only 1/8 of the distance. By what factor should the hare increase its
speed so as to tie the race?

a) 40 b) 37.80
c) 8 d) 5

Ans:
37.8

11) A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30, statement n says "At most n of the statements on this sheet are false". Which statements are true and which are false?

a)
All statements are false.

b) All
statements are true.

c) The
even numbered statements are true and the odd numbered are false.

d) The odd numbered statements are true and
the even numbered are false.

Ans: b

12) There are two water tanks A and B, A is
much smaller than B. While water fills at the rate of one litre every hour in
A, it gets filled up like 10, 20, 40, 80, 160 .. in tank B. (At the end of
first hour, B has 10 litres, second hour it has 20, and so on). If 1/32 of B's
volume is filled after 3 hours, what is the total duration required to fill it
completely?

a) 9 hours b) 7 hours
c) 10 hours d) 8 hours

Ans: 8

13) Planet fourfi resides in 4-dimensional
space and thus the currency used by its residents are 3-dimensional objects.
The rupee notes are cubical in shape while their coins are spherical. However
the coin minting machinery lays out some stipulations on the size of the coins.

• The diameter of the coins should be at
least 64mm and not exceed 512mm.

• Given a coin, the diameter of the next
larger coin is at least 50% greater.

• The diameter of the coin must always be
an integer.

14) You are asked to design a set of coins
of different diameters with these requirements and your goal is to design as
many coins as possible. How many coins can you design?

a) 8 b) 5 c) 6
d) 9

Ans: 6

14) Anoop managed to draw 7 circles of
equal radii with their centres on the diagonal of a square such that the two
extreme circles touch two sides of the square and each middle circle touches
two circles on either side. Find the ratio of the radius of the circles to the
side of the square.

a) 1:(4+ 7v3) b) 1:(2+
6v2)

c) 1:(2+
7v2) d) (2+ 7v2):1

Ans: b

1. A
Person buys a horse for 15 ponds, after one year he sells it for 20 pounds.
After one year, again he buys the same horse at 30 pounds and sells it for 40
pounds. What is the profit for that person?

2. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?

a) Loss 23 b) gain 23 c) gain 54 d) Loss 54

2. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?

a) Loss 23 b) gain 23 c) gain 54 d) Loss 54

3. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.

a) 20.72 b) 5.18 c) 238.25 d) 6.18

4. A
circular dartboard of radius 1 foot is at a distance of 20 feet from you. You
throw a dart at it and it hits the dartboard at some point Q in the circle.
What is the probability that Q is closer to the center of the circle than the
periphery?

0.75,1,.5,.25

Ans: Probability= (area of inner circle)/(area of outer circle)

i.e (r/2)^2/r^2 =1/4=0.25

5. On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula

d = 4 * v (t – 8 ) for t = 8

Where d represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the radius of some echina at a particular spot as 8mm. How many years back did the solar blast occur?

a) 24 b)12 c)8 d)16

Ans: Simple substitutional problem

6. Alok and Bhanu play the following min-max game. Given the expression

N = 9 + X + Y – Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

a) 27 b)18 c) 20

7. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A’s chances of winning.

Let’s assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

a) 4/9 b) 2/3 c) 1/3 d) 5/9

0.75,1,.5,.25

Ans: Probability= (area of inner circle)/(area of outer circle)

i.e (r/2)^2/r^2 =1/4=0.25

5. On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula

d = 4 * v (t – 8 ) for t = 8

Where d represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the radius of some echina at a particular spot as 8mm. How many years back did the solar blast occur?

a) 24 b)12 c)8 d)16

Ans: Simple substitutional problem

6. Alok and Bhanu play the following min-max game. Given the expression

N = 9 + X + Y – Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

a) 27 b)18 c) 20

7. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A’s chances of winning.

Let’s assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

a) 4/9 b) 2/3 c) 1/3 d) 5/9

Ans:
Paul will choose the team with the same probability as the team will win

So the final probability is (2/3)*(2/3)+(1/3)*(1/3)=5/9

So the final probability is (2/3)*(2/3)+(1/3)*(1/3)=5/9

8)
The IT giant Tirnop has recently crossed a head count of 150000 and earnings of
$7 billion. As one of the forerunners in the technology front, Tirnop continues
to lead the way in products and services in India. At Tirnop, all programmers
are equal in every respect. They receive identical salaries ans also write code
at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines
of code in total. How long will it take 72 programmers to write 72 lines of
code in total?

a) 6 b) 18 c) 72 d) 12

Ans: Apply (n1)*(t1)/(w1)= (n2)*(t2)/(w2) where

n1, n2 are number of people

t1, t2 are time

w1, w2 are work

9) 36 people {a1, a2, …, a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is?

a) 11 b) 12 c) 13 d) 18

Ans: 18

10) A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: ‘Exactly n of the statements on this sheet are false.’ Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered statements are false.

b)The 39th statement is true and the rest are false.

c)The odd numbered statements are true and the even numbered statements are false.

d)All the statements are false.

Ans:B

11. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?

a) 6 b) 18 c) 72 d) 12

Ans: Apply (n1)*(t1)/(w1)= (n2)*(t2)/(w2) where

n1, n2 are number of people

t1, t2 are time

w1, w2 are work

9) 36 people {a1, a2, …, a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is?

a) 11 b) 12 c) 13 d) 18

Ans: 18

10) A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: ‘Exactly n of the statements on this sheet are false.’ Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered statements are false.

b)The 39th statement is true and the rest are false.

c)The odd numbered statements are true and the even numbered statements are false.

d)All the statements are false.

Ans:B

11. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?

Ans:
0

12) 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?

a)
All suspects are lying or the leftmost suspect is innocent.

b) All suspects are lying and the leftmost suspect is innocent .

A only

Neither A nor B

Both A and B

B only

b) All suspects are lying and the leftmost suspect is innocent .

A only

Neither A nor B

Both A and B

B only

13)
Given 3 lines in the plane such that the points of intersection form a triangle
with sides of length 20, 20 and 30, the number of points equidistant from all
the 3 lines is

Ans: 1, incentre

Ans: 1, incentre

14)
One day Rapunzel meets Dwarf and Byte in the Forest of forgetfulness. She knows
that Dwarf lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the
other days of the week. Byte, on the other hand, lies on Thursdays, Fridays and
Saturdays, but tells the truth on the other days of the week. Now they make the
following statements to Rapunzel – Dwarf: Yesterday was one of those days when
I lie. Byte: Yesterday was one of those days when I lie too. What day is it?

Friday,
Saturday, Thursday, Wednesday

Ans:
Thursday

15. A
hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of
smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are
painted, totally how many faces of the smaller cubes remain unpainted?

a) 488 b) 800 c) 900 d) 500

Ans: First take 5 cm cube so its volume is 5^3=125 and it is hallow of 1 cm thickness so the inner cube has 3cm edge so its volume is 27

subtraction 125-27=98

so 98 1cm cubes can be made in those 98

18 are no color face cubes so no of faces which are not coloured are 18*6=108

20 are two color face cubes so 20*4=80 faces are not coloured

60 are one colored faces so 60*5=300 faces are not coloured.so totally 108+80+300 faces are not colored

a) 488 b) 800 c) 900 d) 500

Ans: First take 5 cm cube so its volume is 5^3=125 and it is hallow of 1 cm thickness so the inner cube has 3cm edge so its volume is 27

subtraction 125-27=98

so 98 1cm cubes can be made in those 98

18 are no color face cubes so no of faces which are not coloured are 18*6=108

20 are two color face cubes so 20*4=80 faces are not coloured

60 are one colored faces so 60*5=300 faces are not coloured.so totally 108+80+300 faces are not colored

16)
Alok and Bhanu play the following min-max game. Given the expression

N = X – Y – Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

a) 9 b) -18 c) 2 d) 20

N = X – Y – Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

a) 9 b) -18 c) 2 d) 20

Ans: -18

17)
A greengrocer was selling apple at a penny each, chickoos at 2 for a penny and
peanuts at 3 for a penny. A father spent 7p and got the same amount of each
type of fruit for each of his three children. What did each child get?

1 apple, 2 chickoos, 2 peanuts

1 apple, 3 chickoos, 2 peanuts

1 apple, 1 chickoo, 1 peanut

Ans:
Elimination process.

Given 7p

Let us take 3 apples

Total cost=3*1=3p

So each boy gets “1 apple”(as 3 boys share each of them equally)

Now we remain wid 4p2 chochos for 1p

Total cost for 6 chokoes 1p*3=3p

Now that we share those 2 chocs equally among the 3 children.

Now we remain with 1p

For 1p we get 3 peanuts we share those 3 among the 3 boys equallyso finally

For each boy

Given 7p

Let us take 3 apples

Total cost=3*1=3p

So each boy gets “1 apple”(as 3 boys share each of them equally)

Now we remain wid 4p2 chochos for 1p

Total cost for 6 chokoes 1p*3=3p

Now that we share those 2 chocs equally among the 3 children.

Now we remain with 1p

For 1p we get 3 peanuts we share those 3 among the 3 boys equallyso finally

For each boy

a) 1
apple b) 2 chockos c) 1 peanuts

18)
The teacher is testing a student’s proficiency in arithmetic and poses the
following question. 1/3 of a number is 3 more than 1/6 of the same number. What
is the number? Can you help the student find the answer?

a) 12 b) 21 c) 6 d) 18

a) 12 b) 21 c) 6 d) 18

19) A
hare and a tortoise have a race along a circle of 100 yards diameter. The
tortoise goes in one direction and the hare in the other. The hare starts after
the tortoise has covered 1/5 of its distance and that too leisurely. The hare
and tortoise meet when the hare has covered only 1/8 of the distance. By what
factor should the hare increase its speed so as to tie the race?

a) 37.80 b) 8 c) 40

a) 37.80 b) 8 c) 40

Ans:
37.80

20)
There are two boxes, one containing 10 red balls and the other containing 10
green balls. You are allowed to move the balls between the boxes so that when
you choose a box at random and a ball at random from the chosen box, the
probability of getting a red ball is maximized. This maximum probability is

a) 1/2 b) 14/19 c) 37/38 d) 3/4

a) 1/2 b) 14/19 c) 37/38 d) 3/4

Ans: 14/19

21)
The IT giant Tirnop has recently crossed a head count of 150000 and earnings of
$7 billion. As one of the forerunners in the technology front, Tirnop continues
to lead the way in products and services in India. At Tirnop, all programmers
are equal in every respect. They receive identical salaries ans also write code
at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines
of code in total. How long will it take 72 programmers to write 72 lines of
code in total?

a) 12 b) 6 c) 72 d) 18

a) 12 b) 6 c) 72 d) 18

Ans:
Simple formula.

people X time /lines = people1 X time1 / lines1

12×12/12 = 72 x x/72 solve for x

x=12

Answer: 12

22) There are two statements. There is also a question. Choose 1 if the question can be answered by using either one. Choose 2 if the question can be answered using both the statements. Choose 3 if the question can not be answered using these two statements

Statement
1: Avinash spends 30% on house rent, 20% on children’s education,40% on
foods

Statement 2: Pritam spends 20% on house rent, 45% on children’s education,20% on food

Question: If pritam spends more than avinash on foods who spends more on children’s education? The question can be answered by

a) 1 b) 2 c)3

Ans: c

Statement 2: Pritam spends 20% on house rent, 45% on children’s education,20% on food

Question: If pritam spends more than avinash on foods who spends more on children’s education? The question can be answered by

a) 1 b) 2 c)3

Ans: c

23) There are pepsi 1 litre & oil 1
litre. It is given as 1 spoon of pepsi is aken and is mixed with Oil. Then 1
spoon oil&pepsi is taken and is mixed with pepsi then which of the
condition holds true.

Easy.

Easy.

1) A
father has 7 penny’s with him and 1 water melon is for 1p, 2chickoos for 1p, 3
grapes foe 1p. He has three sons. How can he share the fruits equally?

Ans: 1 watermelon, 2 chickoos, 1 grape

Ans: 1 watermelon, 2 chickoos, 1 grape

2)
Both questions are just 1st question but changed values.

3) There are two pipes A and B. If A filled 10 liters in hour B can fills 20 liters in same time. Likewise B can fill 10, 20, 40, 80,160. If B filled in (1/16) th of a tank in 3 hours, how much time will it take to fill completely?

Ans: 7 hours

4) In
a market 4 man are standing. The average age of the four before 4 years is 45,
aftyer some days one man is added and his age is 49. What is the average weight
of all?

I am not sure but question is like this, very easy

I am not sure but question is like this, very easy

5) A
question on average speed

Hint:
Formula{(2*v1*v2)/(v1+v2)}

6) A
question on ratio of ages between ages. Just like ages of two persons is
6:5 sum of their ages is 44 ofter how many years the ratio would be 8:7?

Ans: 8 (may be some different value)

Ans: 8 (may be some different value)

7) A large story bla bla bla at last speed of train given and time was given caliculate distance.

Hint:
S=T*V

In
some times you have to convert time from km/hr to m/sec or vise versa.

Formula:
kmph--to--m/sec-- multiply with (5/18)

m/sec
--to--kmph-- multiply with (18/5);

8) A
question on cubes: A hollow cube of size 5 cm is taken, with a thickness of 1
cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface
of the cube are painted, totally how many faces of the

smaller cubes remain unpainted?

smaller cubes remain unpainted?

a)800 b)488 c)900

9) A
hare and a tortoise have a race along a circle of 100 yards diameter. The
tortoise goes in one direction and the hare in the other. The hare starts after
the tortoise has covered 1/5 of its distance and that too leisurely. The hare
and tortoise meet when the hare has covered only 1/8 of the distance. By what
factor should the hare increase its speed so as to tie the race?

a) 5 b) 37.80 c) 8

10) The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How many lines of code can be written by 72 programmers in 72 minutes?

a) 12 b) 72 c) 6

11) I
am surprised that there are three qustions again repeated by just changing
numbers(very easy )

12)
This question is simple very simple this much long question is common in
written exam neglect unnecessary data.

You
have to learn how to catch necessary data from whole stuff.

13)
Ferrari S.p.A. is an Italian sports car manufacturer based in Maranello, Italy.
Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored
drivers and manufactured race cars before moving into production of
street-legal vehicles in 1947 as Ferrari S.p.A. Throughout its history, the
company has been noted for its continued participation in racing, especially in
Formula One, where it has enjoyed great success. Rohit once bought a Ferrari.
It could go 2 times as fast as Mohit's old Mercedes. If the speed of Mohit's
Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952 km, find
the total time taken for Rohit to drive that distance.

a) 14.88 b) 476 c) 15.88

14)
The teacher is testing a student's proficiency in arithmetic and poses the
following question. 1/3 of a number is 3 more than 1/6 of the same number. What
is the number? Can you help the student find the answer?

a) 18 b) 21 c) 6

15)
There are two water tanks A and B, A is much smaller than B. While water fills
at the rate of one litre

every hour in A, it gets filled up like 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 litres, second hour it has 20, and so on). If 1/32 of B's volume is filled after 3 hours, what is the total duration required to fill it completely?

every hour in A, it gets filled up like 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 litres, second hour it has 20, and so on). If 1/32 of B's volume is filled after 3 hours, what is the total duration required to fill it completely?

a) 7
hours b) 9 hours c) 10

16)
Again this below question is repeated thrise by changing values.

Alok and Bhanu play the following min-max game. Given the expression where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

a) 9
b)-18 c) 4

17)
See this question how easy; but he twisted it in very nice way.

Taste
it:

A
circular dartboard of radius 1 foot is at a distance of 20 feet from you. You
throw a dart at it and it

hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center

of the circle than the periphery?

hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center

of the circle than the periphery?

a) 0.75
b) 1 c) 0.5 d) 0.25

18)
On planet zorba, a solar blast has melted the ice caps on its equator. 8 years
after the ice melts, tiny plantoids called echina start growing on the rocks.
Echina grows in the form of a circle and the relationship between the diameter
of this circle and the age of echina is given by the formula

d = 4
* √ (t - 8) for t ≥ 8

Where the
represents the diameter in mm and t the number of years since the solar blast.
Jagan recorded the radius of some echina at a particular spot as 8mm. How many
years back did the solar blast occur?

a) 24
b) 12 c) 8 d) 16

19)
This is very simple but a little bit twisted.

For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning.

Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

a) 4/9 b) 2/3 c) 1/9 d) 5/9

20) People
{a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words,
there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ...,
{a35, a36}, {a36, a1}. Then size of the smallest set of people such that the
rest have shaken hands with at least one person in the set is

a) 12 b) 13 c) 18 d) 11

21)
Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked
one above the other. One of them is a special (gold) coin and the rest are
ordinary coins. The goal is to bring the gold coin to the top by repeatedly
moving the topmost coin to another position in the stack. Alice starts and the
players take turns. A turn consists of moving the coin on the top to a position
i below the top coin (0 ≤ i ≤ 20). We will call this an i-move (thus a 0-move
implies doing nothing). The proviso is that an i-move cannot be repeated; for
example once a player makes a 2-move, on subsequent turns neither player can
make a 2-move. If the gold coin happens to be on top when it's a player's turn
then the player wins the game.

Initially,
the gold coinis the third coin from the top. Then

In
order to win, Alice's first move should be a 0-move.

In
order to win, Alice's first move should be a 1-move.

Alice
has no winning strategy.

22)
There are two questions like below. He changed a little in values and
statement.

23) A
sheet of paper has statements numbered from 1 to 40. For all values of n from 1
to 40, statement

and says: 'Exactly and of the statements on this sheet are false'. Which statements are true and which are false?

and says: 'Exactly and of the statements on this sheet are false'. Which statements are true and which are false?

a)
The even numbered statements are true and the odd numbered statements are
false.

b)
The 39th statement is true and the rest are false.

c)
The odd numbered statements are true and the even numbered statements are
false.

d)
All the statements are false.

24)
After the typist writes 12 letters and addresses 12 envelopes, she inserts the
letters randomly into the envelopes (1 letter per envelope). What is the
probability that exactly 1 letter is inserted in an improper envelope?

a)
0 b) 12/212 c) 11/12 d) 1/12

25)
There are three questions on this model just changed statements.

26) One day Rapunzel meets Dwarf and Byte in the Forest of forgetfulness. She knows that Dwarf lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the other days of the week. Byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Rapunzel - Dwarf: Yesterday was one of those days when I lie. Byte: Yesterday was one of those days when I lie too. What day is it?

a)
Thursday b) Tuesday c) Sunday d) Monday

27)
India with a burgeoning population and a plethora of vehicles (at last count
there were more than 20 million of them) has witnessed big traffic jams at all
major cities. Children often hone their counting skills by adding the wheels of
vehicles in schoolyards or bus depots and guessing the number of vehicles.
Alok, one such child, finds only bicycles and 4 wheeled wagons in his
schoolyard. He counts the total number of wheels to be 46. What could be the
possible number of bicycles?

a) 25 b) 5 c)4

Alok
is attending a workshop "How to do more with less" and today's theme
is Working with fewer digits. The speakers discuss how a lot of miraculous
mathematics can be achieved if mankind (as well as woman kind) had only worked
with fewer digits.

The problem posed at the end of the workshop is

The problem posed at the end of the workshop is

1) How many 5 digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4?

Can you help Alok find the answer?

375

3125

500

2)
Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked
one above the other. One of them is a special (gold) coin and the rest are
ordinary coins. The goal is to bring the gold coin to the top by repeatedly
moving the topmost coin to another position in the stack. Alice starts and
the players take turns.

A
turn consists of moving the coin on the top to a position i below the top coin
(0 ≤ i ≤ 20).

We will call this an i-move (thus a 0-move implies doing nothing).

The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on ubsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then Alice has no winning strategy.

In order to win, Alice's first move should be a 0-move.

In order to win, Alice's first move should be a 1-move.

We will call this an i-move (thus a 0-move implies doing nothing).

The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on ubsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then Alice has no winning strategy.

In order to win, Alice's first move should be a 0-move.

In order to win, Alice's first move should be a 1-move.

3)
A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You
throw a dart at it and it hits the dartboard at some point Q in the circle.

What is the probability that Q is closer to the center of the circle than the periphery?

0.75

1

0.25

0.5

4)
36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In
other words, there are totally 36 handshakes involving the pairs, {a1,
a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set
of people such that the rest have shaken hands with at least one person in the
set is

13

18

11

12

13

18

11

12

5) The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.

Suppose 12 such programmers take 12 minutes to write 12 lines of code in total.

How long will it take 72 programmers to write 72 lines of code in total?

18

72

6

12

6) After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?

0

1/12

11/12

12/212

7) A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly and of the statements on this sheet are false.' Which statements are true and which are false?

The 39th statement is true and the rest are false. All the statements are false.

The odd numbered statements are true and the even numbered statements are false.

The even numbered statements are true and the odd numbered statements are false

8)
A sheet of paper has statements numbered from 1 to 40. For each value of n from
1 to 40, statement and says "At least n of the statements on this
sheet are true." Which statements are true and which are false?

The
odd numbered statements are true and the even numbered are false.

The first 26 statements are false and the rest are true.

The even numbered statements are true and the odd numbered are false.

The first 13 statements are true and the rest are false.

9) 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty.

The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The right most person is not questioned. Which of the following possibilities are true?

A. All suspects are lying or the leftmost suspect is innocent.

B. All suspects are lying and the leftmost suspect is innocent .

Neither A nor B

Both A and B

B only

A only

The first 26 statements are false and the rest are true.

The even numbered statements are true and the odd numbered are false.

The first 13 statements are true and the rest are false.

9) 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty.

The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The right most person is not questioned. Which of the following possibilities are true?

A. All suspects are lying or the leftmost suspect is innocent.

B. All suspects are lying and the leftmost suspect is innocent .

Neither A nor B

Both A and B

B only

A only

10)
Given 3 lines in the plane such that the points of intersection form a triangle
with sides of length 20, 20 and 30, the number of points equidistant from all
the 3 lines is

4

3

1

0

4

3

1

0

11)
The citizens of planet nigiet are 8 fingered and have thus developed their
decimal system in base 8. A certain street in nigiet contains 1000 (in base 8)
buildings numbered 1 to 1000. How many 3s are used in numbering these
buildings?

256

64

192

54

64

192

54

12)
10 people meet and shake hands. The maximum number of handshakes possible if
there is to be no "cycle" of handshakes is (A cycle of handshakes is
a sequence of k people a1, a2, ......, ak (k > 2) such that the pairs {a1,
a2}, {a2, a3}, ......, {ak-1, ak}, {ak, a1} shake hands).

9

8

7

6

9

8

7

6

13) For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning.

Let's
assume such rumors to be true and that in a match between Ghana and Bolivia,
Ghana the stronger team has a probability of 2/3 of winning the game. What is
the probability that Paul will correctly pick the winner of the Ghana-Bolivia
game?

5/9

1/9

2/3

4/9

5/9

1/9

2/3

4/9

14)
On planet zorba, a solar blast has melted the ice caps on its equator. 8 years
after the ice melts, tiny plantoids called echina start growing on the rocks.
echina grows in the form of a circle and the relationship between the
diameter of this circle and the age of echina is given by the formula

d = 4 * √ (t - 8) for t ≥ 8

d = 4 * √ (t - 8) for t ≥ 8

Where the
represents the diameter in mm and t the number of years since the solar blast.
Jagan recorded the radius of some echina at a particular spot as 8mm. How many
years back did the solar blast occur?

12

16

8

24

16

8

24

15)
Alok and Bhanu play the following min-max game. Given the expression

N = 9
+ X + Y - Z

Where
X, Y and Z are variables representing single digits (0 to 9), Alok would like
to maximize N while Bhanu would like to minimize it. Towards this end, Alok
chooses a single digit number and Bhanu substitutes this for a variable of her
choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to
substitute the value. Finally Alok proposes the value for the remaining
variable.

Assuming
both play to their optimal strategies, the value of N at the end of the game
would be

27

0.0

20

18

27

0.0

20

18

16) Lion and tiger are there. Lion lies on Monday, Tues, Wends and Tiger lies on Thurs, Frid, Sat. Lion said that today is one of those days when I lies. Tiger said that today is one of those days when I lie too. Then find today?

1/3 rd of a number is more 3 than the 1/6th of a number
then find the number?

Ans:18

Ans:18

1) Ramu & Sangeetha went for biological
analysis to a island which is 34km from their place. They travelled in a boat
which went at a speed of 2m/s. when they are in half a distance in the boat
sangeetha note there are 7 leg & 8 leg octopuses under the water. Ramu
counted the total number of legs of octopuses and got 54. Sangeetha instantly
said I know how many 7 leged octopuses are there under the water. They both
reached the island after 20 min they left . How many seven leged octopuses does
sangeetha calculate?

1. 4 2. 5 3. 6 4. 7

Ans: Total number of legs of both 7 & 8
leged octobus = 54. Find number of 7 leged octopuses

Go from answer

4(7 leged octobus) + X = 54.

5(7 leged octobus) + X = 54. Similarly do
for all. The x you get should be exactly divisible by 8. Only one answer will
satisfy the condition.

Note: You may find lot of nonsense stuff to
test verbal ability. Just take required data alone. From the next question
onwards I post necessary data only.

2) Total number of wheels of bicycles &
4 wheeled vechicles is 38. How many bicycles are there? ( This question has
more than 6 lines to test your verbal abilty)

Ans: Similar to above. Go from answer

Choices from answer( 2 wheelers) + X = 38.
X should be exactly divisible by 4

3) Jumbled sentences given APPRAKEET. What
is the meaning.

PARAKEET

Ans: Bird

4)
Logical problem asking for the colour of beer

Ans:
White

5)
There are 14 spots. Each spot has 8 seats. 28 people seated in all the spots.
No similar number people sat in any spot. How many spots left with no people at
all

Ans:
1+2+3+4+5+6+7 = 28. So remaning 7 spots has no people at all

6)
Can A has milk. Can b had water. A spoon of milk from can A is added to Can B.
Then from the mixture same amount is taken from Can B and added to Can A.

Ans :
Can A contains less item than item in Can B

7)
There is a plane contains 32 points. All the 32 points have equal distance from
point x.

Which of the following is true

A:
All the 32 points lie in circle.

B:
The distance from x to all 32 points is less then the distance between each
other

Ans :
A only

8)
Horse ran at speed of 34kmph. Pony started after 2 hours. Horse ran for 4
hours. What is the speed of pony?

Ans:
(34*4)/(4+2)

9) A
clock gives 4 ticks consequetively. After days it has become defective &
gives only 2 ticks. What is the probability that clock produces 3 ticks
consequetively. 1 out of ?

Ans:
1/8

10) Person
points to a photo and says the main in the picture is the son of my fathers
son. What is the relationship between him & person in the photo?

Ans:
he himself

11)
There is a cloth of 153 yards length. X has to cut the cloth into 153 pieces.
He takes 5 seconds to cut each piece how much time he require to cut all 153
pieces?

Ans:
152*5

12)
Ferrari is leading car manufacturer.*Ferrari S.p.A.* is an Italian sports car.
It has enjoyed great success. If Mohan's Ferrari is 3 times faster than his old
MERCEDES wich gave him 35 kmph if Mohan travelled 490 km in his ferrari the hw
much time(hours) he took?

Ans: 490/35*3

13) Jagan lies on Monday Tuesday Wednesday

Pradeep
lies on Wednesday Thursday Saturday.

Jagan says I didn’t lie yesterday. Pradeep
also says that I didn’t lie yesterday. What day is today?

Ans: Sunday

14)
The ratio of current age of X and Y is 5:7. After how many years their age
becomes 7:9?

Ans:
Simple ratio

By
using 1,2,3,4,5, how many 5 digit no. Can be formed which is divisible by 4,
repetation of no. is allowed?

Ans: 2500 (not sure)

XY=21 and X+Y=13. Ans of X & Y will be
in points then x square+y square=?

Ans: Solve using quadratic eqn. you get x
& y

15) Person travels from A- to b in 9km/hr,
and B to A in 4 Km/hr. What is the average speed?

Ans : 2(9*4)/9+4

16) Find total cost to build a robot. The
cost of spare parts use to bulid it is in the ratio 4:5:3. The cost of spare
parts are $40, $50, $60.

Ans: Simple ratio. I don’t remember the
question exactly but all you do is to add $40+$50+$60 to get the answer

17) Pizza shops make pizza of same thickess
and different diamester. Cost of 8cm is 80, 12 cm is 240, 24 cm is 720. Which
pizza gives best value for money?

Ans: Divide cost by cm & compare with
others. Hint. Take smallest one and multiple till you get the largest pizza.
Then compare both you get the answer

18) Average marks of 5 sub is 61. Six sub
mark is 89. What is the average after adding 6th?

Ans: (61*5) + 89/6

19) Find number of 3’s between 1 & 100?

Ans: 19

20) A pipe can fill a tank at the rate 1
litre/hr, the tank is 1/32 filled in 6 hours. After how many hows the tank is
filled completely

Ans: 1/16, 1/8, ¼,
½, 1. After 5 hours.

1) The age of ram and sam are in the ratio 5:6 and after 4 years
their ratios are 7:8 then what is the present age of sam?

Ans: 12years (names and values may change)

2) There is a toy train that can make 10 musical sounds. It makes
2 musical sounds after being defective. What is the probability that same
musical sound would be produced 5 times consecutively? (1 of )?

Ans: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

Ans: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

3) Find (4x+2y)/ (4x-2y) if x/2y=2

4) Find average speed if a man travels at speed of 14kmph up and
26kmph down at an altitude of 200m. Formula is 2xy/(x+y)

5) In school there are some bicycles and 4wheeler wagons.one Tuesday there
are 190 wheels in the campus. How many bicycles are there?

Ans: 15

6) Six friends go to pizza corner there are 2 types of pizzas. And
six different flavors are there they have to select 4 flavors from 16 flavors.
In how many ways we can select?

Ans: 16C4

7) 3, 15, x, 51, 53,159,161. Find X

Ans: 17

8) 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order IN 7 rounds.
A;B;C;AB;BC;AC;ABC. Final round measure is 155 kg then find the average weight
of all the 7 rounds?

Ans: 4(155)/7=31

8. The
cost of making robot is divided into cost of material, cost of repairing and
cost of painting in the ratio of 5:2:3. The cost used for material is 200. Find
the total cost of making the robot?

Ans: 400 (just calculate it).

10) (There was a long story, I'll cut short it). There are 5
materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic.
To make a perfume that is in demand the following conditions are to be
followed: Lilac and Balsamic go together. Woody and MI mosaic go together;
Woody and Balsamic never go together. Lemon can be added with any material.
(Actually they had also mentioned how much amount of one can be added with how
much quantity of the other; but that's not needed for the question.) All of the
following combinations are possible to make a perfume except:

1) Balsamic and Lilac

2) Woody and Lemon

3) MI mosaic and Woody

4) MI mosaic and Lilac

11) A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value). What will be the area of the square made from the same rope?

1) Balsamic and Lilac

2) Woody and Lemon

3) MI mosaic and Woody

4) MI mosaic and Lilac

11) A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value). What will be the area of the square made from the same rope?

Ans: ((A+B+C)/4)2

12) What is the distance of the z-intercept from the x-intercept
in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).

Ans: sqrt ((d/a) 2+ (d/c) 2)

13) A scientist in Antarctic region conducts research on bears
came to know that bears changes according to the location .once he moves 1 mile
towards north, then he moves 2 miles towards east, then 1 mile towards south.
Now the color of bear he found will be in:

Ans: white

14) Two
pipes A and B fill at A certain rate B is filled at
10,20,40,80,. If 1/16 of B if filled in 17 hours what time it will take to
get completely filled

Ans 21

15) There are 11 boys in a family. Youngest child is a boy. What
is the probability of all are boys?

a) 2 b) 2!
C) 2048 d) 1024

16) A boy bought a roll A of 56 inches wide and 141 yards long.
He also bought B of 77 inches wide of length 333yards. We don’t want any
details of B. Some irrelevant matter. Final question is Time taken for cutting
A into 1 yard piece is 2 seconds. Time taken to cut into 141 pieces of 1 yard
each is?

Ans is 2(141) =242

17) A Person buys a horse for 15 ponds, after one year he sells
it for 20 pounds. After one year, again he buys the same horse at 30 pounds and
sells it for 40 pounds. What is the profit for that person?

Ans is 15 pounds

18) There are 1000 pillars for a temple. 3 friends Linda,
Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and
taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct
sentence?

a) Linda is shorter among them

b) Chelsea is taller than Julia

c) Chelsea is shorter than Julia

d) Cannot determine who is taller among Chelsea and Julia

Ans: d

19) In a family there are some boys and girls. All boys told
that they are having equal no of brothers and sisters and girls told that they
are having twice the no. of brothers than sisters. How many boys and girls
present in a family?

Ans is 4 boys and 3 girls

20) There are certain number of hats and gloves in a box. They are
of 41 red, 23 green, 11 orange. Power gone. But a woman can differentiate between
hats and gloves.How many draws are required to obtain a pair of each color.

21) There is a die with 10 faces. It is not known that fair or
not. 2 captains want to toss die for batting selection. What is the possible
solution among the following?

a) If no. is odd it is head, if no. is even it is tail

b) If no. is odd it is tail, if no. is even it is head

c) Toss a die until all the 10 digits appear on top face. And if
first no. in the sequence is odd then consider it as tail. If it is even
consider it as head.

I didn’t remembered last option and I don’t know answer.

22) 2 years ago of A is x times that of B. 3 Years hence the age
of A is 4/3 times of B. What is the present age of B in binary form?

I didn’t remember the exact values of x and y. You can solve
easily.

23) Ram buys a cycle for 31 dollars and given a cheque of amount
35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change
to Ram. After 2 days, it is known that cheque is bounced. Shop keeper paid the
amount to his neighbor. The cost price of cycle is 19 dollars. What is the
profit/loss for shop keeper?

Ans is 23(cost price + change given).

24) metal strip of width ‘x’ cm. 2 metal strips are placed one
over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are
placed in that manner. What is the final width of that arrangement?

Ans is (z-1) (y-x) +x.

25) A game is played between 2 players and one player is
declared as winner. All the winners from first round are played in second
round. All the winners from second round are played in third round and so on.
If 8 rounds are played to declare only one player as winner, how many players
are played in first round

Ans is 2

^{8.}
26) There are 3 boys A, B, C and 2 Girls D, E. D always sit
right to A. Girls never sit in extreme positions and in the middle position. C
always sits in the extreme positions. Who is sitting immediate right to E?

Ans is B or C

27) 49 members attended the party. In that 22 are males, 17 are
females. The shake hands between males, females, male and female. Total 12
people given shake hands. How many such kinds of such shake hands are possible?

Ans is

^{12}C_{2}
29) Entry ticket to an exhibition ranges from 1p to 31p. You need
to provide exact change at the counter. You have 31p coin. In how many parts
will u divide 31p so that u will provide the exact change required and carry as
less coins as possible?

a) 22 b) 31 c) 6 d) 32

Ans is 6

30) There are 2 friends Peter and Paul. Peter age is twice as old
as Paul when peter was as old as Paul is now. Sum of the present ages of Peter
and Paul is 35.What is the present age of Peter?

Ans is 20

31) A lady took out jacket and gloves, which are avialable in
blue 16, yellow 40 and red 36. Power goes off, she can distinguish between
gloves and jacket but not in colors. What's the possibilty their she will pick up pair of gloves of
each color.

Ans : very easy..

32) Two bowls are taken, one contains water and another contains tea.one spoon of water is added to second bowl and mixed well, and a
spoon of mixture is taken from second bowl and added to the second bowl. Which
statement will hold good for the above?

(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)

(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)

33)
Rearrange and categorize the word ‘IGTRE’?

Ans: Animal(TIGER)

Ans: Animal(TIGER)

34) A
lies on mon, tues, wed and speak truths on other days, B lies on Thurs, Fri,
Sat and speaks truths on other days. One day a said I lied today and B said I
too lied today. What is the day?

35) One grandfather has three grandchildren, two of their age
difference is 3, eldest child age is 3 times youngest child’s age and eldest
child’s age is two times of sum of other two children. What is the age of
eldest child?

Ans: 18

________________________________________________________________________

Ans: 18

________________________________________________________________________

1) Two pipes A and B fill at A certain rate B is filled at
10,20,40,80,. If 1/4 of B if filled in 21 hours what time it will take to get
completely filled

Ans: 23

Ans: 23

2) Find average speed if a man travels at speed of 24kmph up and
36kmph down at an altitude of 200m. Formula is 2xy/(x+y)

3) 3, 15, x, 51, 53,159,161. Find X

Ans: 17

Ans: 17

3 friends A, B, C went for week end party to McDonald’s restaurant
and there they measure there weights in some order IN 7 rounds.
A;B;C;AB;BC;AC;ABC. Final round measure is 155 kg then find the average weight
of all the 7 rounds?

Ans: 4(155)/7=31

Ans: 4(155)/7=31

5) There is a toy train that can make 10 musical sounds. It
makes 2 musical sounds after being defective. What is the probability that same
musical sound would be produced 5 times consecutively? (1 of )?

Ans: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

Ans: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

6) A triangle is made from a rope. The sides of the triangle
are A cm, B cm and C cm (I do not remember the numerical value). What will be
the area of the square made from the same rope?

Ans: ((A+B+C)/4)2

Ans: ((A+B+C)/4)2

7) (There was a long story, I’ll cut short it). There are 5
materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic.
To make a perfume that is in demand the following conditions are to be
followed: Lilac and Balsamic go together. Woody and MI mosaic go together;
Woody and Balsamic never go together. Lemon can be added with any material.
(Actually they had also mentioned how much amount of one can be added with how
much quantity of the other; but that’s not needed for the question.) All of the
following combinations are possible to make a perfume except:

1) Balsamic and Lilac

2) Woody and Lemon

3) MI mosaic and Woody

4) MI mosaic and Lilac

1) Balsamic and Lilac

2) Woody and Lemon

3) MI mosaic and Woody

4) MI mosaic and Lilac

8) What is the distance of the z-intercept from the
x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b,
c, d).

Ans: sqrt ((d/a) 2+ (d/c) 2)

Ans: sqrt ((d/a) 2+ (d/c) 2)

9) (1/3) of a number is 3 times more than the (1/6) of the same
number?

Ans:18

Ans:18

10) There are 12 boys in a family. Youngest child is a boy. What
is the probability of all are boys?

a) 2 b) 2! C) 2048 d) 1024

11) A boy bought a roll A of 56 inches wide and 141 yards
long. He also bought B of 77 inches wide of length 333yards. We don’t want any
details of B. Some irrelevant matter. Final question is Time taken for cutting
A into 1 yard piece is 2 seconds. Time taken to cut into 141 pieces of 1 yard
each is?

Ans: 2(140) =240

12) A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?

Ans: 15 pounds

Ans: 2(140) =240

12) A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?

Ans: 15 pounds

13) John buys a cycle for 31 dollars and given a cheque of amount
35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change
to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the
amount to his neighbor. The cost price of cycle is 19 dollars. What is the
profit/loss for shop keeper?

Ans: I couldn't solve it.

14) In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?

Ans: 4 boys and 3 girls

Ans: I couldn't solve it.

14) In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?

Ans: 4 boys and 3 girls

15) There is a die with 10 faces. It is not known that fair or
not. 2 captains want to toss die for batting selection. What is the possible
solution among the following?

a) If no. is odd it is head, if no. is even it is tail

b) If no. is odd it is tail, if no. is even it is head

c) Toss a die until all the 10 digits appear on top face. And if
first no. in the sequence is odd then consider it as tail. If it is even
consider it as head.

I didn’t remembered last option and I don’t know answer.

16) 2 years ago of A is x times that of B. 3 Years hence the age of A is 4/3 times of B. What is the present age of B in binary form?

16) 2 years ago of A is x times that of B. 3 Years hence the age of A is 4/3 times of B. What is the present age of B in binary form?

I didn’t remember the exact values of x and y. You can solve
easily.

17) Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?

Ans: (z-1) (y-x) +x.

18) There are 100 men and 100 women on the dance floor. They want to dance with each other. Then which of the following statements is always true:

17) Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?

Ans: (z-1) (y-x) +x.

18) There are 100 men and 100 women on the dance floor. They want to dance with each other. Then which of the following statements is always true:

a) There are 2 men who danced with equal no. of women’s

b) There are 2 women who danced with equal no. of men

19) A game is played between 2 players and one player is declared
as winner. All the winners from first round are played in second round. All the
winners from second round are played in third round and so on. If 8 rounds are
played to declare only one player as winner, how many players are played in
first round

20) There are 3 boys A, B, C and 2 Girls D, E. D always sit right to A. Girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. Who is sitting immediate right to E?

21) 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?

22) There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?

20) There are 3 boys A, B, C and 2 Girls D, E. D always sit right to A. Girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. Who is sitting immediate right to E?

21) 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?

22) There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?

a) Linda is shorter among them

b) Chelsea is taller than Julia

c) Chelsea is shorter than Julia

d) Cannot determine who is taller among Chelsea and Julia

I couldn't solve it

23) Entry ticket to an exhibition ranges from 1p to 31p. You need
to provide exact change at the counter. You have 31p coin. In how many parts
will u divide 31p so that u will provide the exact change required and carry as
less coins as possible?

a) 22 b) 31 c) 6 d) 32

24) One grandfather has three
grandchildren, two of their age difference is 3, eldest child age is 3 times
youngest child’s age and eldest child’s age is two times of sum of other two
children. What is the age of eldest child?

Ans : 18

Ans : 18

1) Given
a collection of points P in the plane , a 1-set is a point in P that can be
separated from the rest by a line, .i.e the point lies on one side of the line
while the others lie on the other side. The number of 1-sets of P is denoted by
n1(P). The minimum value of n1(P) over all configurations P of 5 points in the
plane in general position (.i.e no three points in P lie on a line) is

a)
3
b)
5
c)
2

2) Paul
the octopus who has been forecasting the outcome of FIFA world cup matches with
tremendous accuracy has now been invited to predict ICC world cup matches in 2011.
We will assume that the world cup contenders have been divided into 2 groups of
9 teams each. Each team in a group plays the other teams in the group. The top
two teams from each group enter the semi finals (after which the winner is
decided by knockout).

However,
Paul has a soft spot for India and when India plays any team, Paul always backs
India. Alas, his predictions on matches involving India are right only 2 out of
3 times. In order to qualify for the semi finals, it is sufficient for India to
win 7 of its group matches. What is the probability that India will win the ICC
world cup?

a)
(2/3)^10
b)
(2/3)^9
+ 8/3 * (2/3)^9 c) 8/3 *
(2/3)^9 d) (2/3)^10 +
8/3*(2/3)^9

3) Toy
train produces at least 10 different tunes when it moves around a circular toy
track of radius 5 meters at 10 meters per minute. However , the toy train is
defective and it now produces only two different tunes at random. What are the
odds that the toy train produces 4 consecutive music tunes of the same type?

a)
1 in
16 b)
1 in
4 c)
1 in 8

4) A
number when divided by D leaves a remainder of 8 and when divided by 3D leaves
a remainder of 21 . What is the remainder left, when twice the number is
divided by 3D?

a)
13 b)
cannot
be determined c)
3 d)
42

Ans:
c

5)
Six friends decide to share a big cake. Since all of them like the cake, they
begin quarreling who gets to first cut and have a piece of the cake. One friend
suggests that they have a blindfold friend choose from well shuffled set of
cards numbered one to six. You check and find that this method works as it
should simulating a fair throw of a die. You check by performing multiple
simultaneous trials of picking the cards blindfold and throwing a die. You note
that the number shown by the method of picking up a card and throwing a real
world die, sums to a number between 2 and 12. Which total would be likely to
appear more often – 8,9 or 10?

a)
8 b)
All
are equally likely c) 9
d)
10

6) One
day Alice meets pal and byte in fairyland. She knows that pal lies on
Mondays, Tuesdays and Wednesdays and tells the truth on the other days of the
week byte, on the other hand, lies on Thursdays, Fridays and Saturdays,
but tells the truth on the other days of the week. Now they make the following
statements to Alice – pal. Yesterday was one of those days when I lie byte.
Yesterday was one of those days when I lie too. What day is it ?

a)
Thursday b) Tuesday c) Monday d)
Sunday

Ans:
a

7) A
car manufacturer produces only red and blue models which come out of the final
testing area completely at random. What are the odds that 5 consecutive cars of
the same color will come through the test area at any one time?

c)
1 in
16 ci) 1 in
12 cii)
1 in
32 ciii)1 in 25

8) Alok
is attending a workshop “How to do more with less” and today's theme is Working
with fewer digits

*.*The speakers discuss how a lot of miraculous mathematics can be achieved if mankind(as well as womankind) had only worked with fewer digits.
The
problem posed at the end of the workshop is

How
many four digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with
repetition) that are divisible by 4?

Can
you help Alok find the answer?

a)
100 b) 125 c) 75 d) 85

9)
Rearrange the following letters to make a word and choose the category in which
it Ms RAPETEKA

a)
Bird b) Vegetable c) City d) Fruit

10) On
planet korba, a solar blast has melted the ice caps on its equator. 9 years
after the ice melts, tiny planetoids called echina start growing on the
rocks. Echina grows in the form of circle, and the relationship between the
diameter of this circle and the age of echina is given by the formula

d = 4*√ (t-9) for t ≥ 9

Where
d represents the diameter in mm and t the number of years since the solar
blast.

Jagan
recorded the radius of some echina at a particular spot as 7mm. How many years
back did the solar blast occur?

a)
17
b)
21.25
c)
12.25
d) 12.06

Ans:
b

11) In
the reading room of a library, there are23 reading spots. Each reading spot
consists of a round table with 9 chairs placed around it. There are some
readers such that in each occupied reading spot there are different numbers of
readers. If in all there are 36 readers, how many reading spots do not have
even a single reader?

a)
8
b)
None
c)
16 d)
15

Ans: d

12)
Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy.
Founded by Enzo Ferrari in 1928 as Scuderia Ferrari , the company sponsored
drivers and manufactured race cars before moving into production of
street-legal vehicles in 1947 as Feraari S.P.A. Throughout its history, the
company has been noted for its continued participation in racing, especially in
Formula One where it has employed great success .Rohit once bought a Ferrari .
It could go 4 times as fast as Mohan's old Mercedes. If the speed of
Mohan's Mercedes is 46 km/hr and the distance traveled by the Ferrari is
953 km, find the total time taken for Rohit to drive that distance.

a)
20.72
b)
5.18
c)
238.25 d) 6.18

Ans:
b

13) A
sheet of paper has statements numbered from 1 to 70. For all values of n from 1
to 70. Statement n says ' At least n of the statements on this sheet are false.
' Which statements are true and which are false?

a)
The even numbered statements are true and the odd numbered are false.

b)
The odd numbered statements are true and the even numbered are false.

c) The
first 35 statements are true and the last 35 are false.

d)
The
first 35 statements are false and the last 35 are false.

Ans:
b

14)
Middle – earth is a fictional land inhabited by Hobbits, Elves, dwarves
and men. The Hobbits and the Elves are peaceful creatures who prefer slow,
silent lives and appreciate nature and art. The dwarves and the men engage in
physical games. The game is as follows . A tournol is one where out of the two
teams that play a match, the one that loses get eliminated. The matches are
played in different rounds where in every round , half of the teams
get eliminated from the tournament. If there are 8 rounds played in a
knock-out tournol how many matches were played?

a)
257
b)
256
c)
72
d) 255

Ans:
D

15) A
research lab in Chennai requires 100 mice and 75 sterilized cages for a certain
set of laboratory experiments . To identify the mice, the lab has prepared
labels with numbers 1 to 100 , by combining tags numbered 0 to 9. The
SPCA requires that the tags be made of toxin-free material and that the
temperature of the cages be maintained at 27 degree Celsius. Also , not more
than 2 mice can be caged together and each cage must be at least 2 sq.ft
in area. The 5 experiments to be conducted by lab are to be thoroughly
documented and performed only after a round of approval by authorities. The
approval procedure takes around 48 hours. How many times is the tag numbered
'4' used by the lab in numbering these mice?

a)
9
b)
19 c)
20
d) 21

Ans:
b

16)
There are two water tanks A and B, A is much smaller than B. While water fills
at the rate of one litre every hour in A, it gets filled up like 10, 20, 40,
80, 160... in tank B. (At the end of first hour, B has 10 litres , second hour it
has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total
duration required to fill it completely?

a)
26
hrs b)
25
hrs c) 5 hrs
d) 27 hrs

Ans:
a

17) Consider
two tumblers, the first containing one litre of coffee. Suppose you take one
spoon of water out of the first tumbler and pour it into the second tumbler.
After moving you take one spoon of the mixture from the second tumbler and pour
it back into the first tumbler . Which one of the following statement holds
now?

a)
There is less coffee in the first tumbler than water in the second tumbler.

b)
There is more coffee in the firs tumbler than water in the second tumbler

c)
There is as much coffee in the first tumbler as there is water in the second tumbler

d)
None
of the statements holds true.

18)
Francois Pachet , a researcher at Sony Computer Science laboratories is also a
jazz musician. He decided to build a robot able to improvise like a pro.
Named Continuator, the robot can duet with a live musician in real- time. It
listens to a musical phrase and then computes a complementary phrase with
the same playing style. If the cost of making the robot is divided between and
then computes a complementary phrase with the same playing style. If the cost
of making the robot is divided between materials , labour and overheads in the
ratio of 4:6:2.If the materials cost $108. the cost of the robot is

a)
$270
b)
$324
c)
$216
d) $ 648

Ans:
b

19) A
lady has fine gloves and hats in her closet- 18 blue- 32 red and 25 yellow. The
lights are out and it is totally dark inspite of the darkness. She can make out
the difference between a hat and a glove. She takes out an item out
of the closet only if she is sure that if it is a glove. How many gloves must
she take out to make sure she has a pair of each colour?

a)
50
b)
8
c)
60
d) 42

20) A
man jogs at 6 mph over a certain journey and walks over the same route at 4
mph. What is his average speed for the journey?

a)
2.4 mph b) 4 mph c) 4.8 mph d) 5
mph

Ans:
d

21)
Spores of a fungus, called late blight, grow and spread infection rapidly.
These pathogens were responsible for the Irish potato famine of the mid-19

^{th}century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up . The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month?
a)
$27
b)
$
18 c)
$45
d)
$ 486

22)
Given a collection of 36 points P in the plane and a point equidistant from all
points in P, which of the following are necessarily true?

A.
The points in P lie on a circle.

B.
The distance between any pair of points in P is larger than the distance
between X and a point in P

a)
A and
B b)
Neither
A nor B c)
B
only d)
A only

23)
In the year 2002, Britain was reported to have had 4.3m closed – circuit
television (CCTV) cameras – one for every 14 people in the country . This
scrutiny is supposed to deter and detect crime. In one criminal case, the
police interrogates two suspects . The ratio between the ages of the two
suspects is 6:5 and the sum of their ages is 6:5 and the sum of their ages is
55 years. After how many years will the ratio be 8:7.?

a)
11 b)
6
c)
10 d) 5

24)
Susan made a block with small cubes of 8 cubic cm volume to make a block 3
small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that
she has used more small cubes than she really needed. She realized that she
could have glued a fewer number of cubes together to lock like a block with
same dimensions, if it were made hollow. What is the minimum number of cubes
that she needs to make the block?

a)
114
b)
135 c)
21 d)
71

25)
Alok and Bhanu play the following coins in a circle game. 99 coins are arranged
in a circle with each coin touching two other coin. Two of the coins are
special and the rest are ordinary. Alok starts and the players take turns
removing an ordinary coin of their choice from the circle and bringing the
other coins closer until they again form a (smaller) circle. The goal is to
bring the special coins adjacent to each other and the first player to do
so wins the game. Initially the special coins are separated by two ordinary
coins O1 and O2. Which of the following is true?

a) In
order to win, Alok should remove O1 on his first turn.

b) In
order to win, Alok should remove one of the coins different from O1 and O2 on
his first turn.

c) In
order to win, Alok should remove O2 on his first turn.

d) Alok has no winning strategy.

1.
Which is the smallest no divides 2880 and gives a perfect square?

a.1
b.2 c.5 d.6

Ans:
c

2.
Two bowls are taken, one contains water and another contains tea. Equal amount
. one spoon of water from 1st is added to second bowl and mixed well, and a
spoon of mixture is taken from second bowl and added to the 1st bowl. Which
statement will hold good for the above?

{

Thought
process :

Water
bowl
tea bowl

100
100

90w
(+10w= spoon
vol)
100tea+10water

90w+
(10*10/11)tea+ 10/11
w
100t- (10*10/11) t

+ 10w- 10/11w

(1st
bowl’s water vol is equal to 2nd bowls tea volume)

3.
Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and
must be divisible by4?

a.31250
b.97656 c.78125 d.97657

Ans:
c

4.
Rearrange and categorize the word ‘RAPETEKA’?

Ans:
Bird

5.
One problem on (785^3-235^3)/(785^2+785*235+235^2)

Ans:
You are free to carry a calculator with you but you should not use it to solve
this kind of problem. Because it is simple:

A3-b3
/ a2+ab+b2

Ans
is : a-b here 785-235= 550 thats it.

6. In
school there are some bicycles and 4 wheeler wagons. One Tuesday there are 190
wheels in the campus. How many bicycles are there?

Ans:
15

Thought
process : b*2+w*4=190 i.e. , b+2w=95 now see u ca not solve 2
unknowns fron 1 eqation, so just plot options here to get the right
answer and verify if you are getting integers as vales of B and W.

7.
There are two persons paul and Jay .Paul lies on Monday,Tuesday,Wednesday and
the remaining days he speaks truth.Jay lies on Thursday,Friday,Saturday and the
remaining Days he speaks truth. once they meet each other, in their
conversation Paul says that yesterday is the day one among those I lie.
Jay also says that yesterday I also lie. what is that day?

a)
Sunday. b) Tuesday. c) Thursday. d) Wednesday

[Thought
process: Now this day cannot be Sunday because in Monday paul speaks truth and
Sunday everyone tells truth. So it must be weekdays. Again, Tuesday can
not possible because Monday and Tuesday paul speaks truth. In case of thrus
day, paul speaks lie and Wednesday he speaks true. And joy speaks truth in
thrusday and he speak lies in Wednesday. So, thrusday is the answer.

8. A
father has 7 penny’s with him and 1 water melon is for 1p, 2chickoos for 1p, 3
grapes foe 1p. He has three sons. How can he share the fruits equally?

Ans:
1 watermelon, 2chickoos, 1grape

9.
(1/2) of a number is 3 times more than the (1/6) of the same number?

Ans:
9

10.
There are two pipes A and B. If A filled 10 liters in hour B can fills 20
liters in same time. Likewise B can fill 10, 20, 40, 80,160…. If B filled in
(1/16) th of a tank in 3 hours, how much time will it take to fill completely?

Ans:
7 hours

11.
A man is standing before a painting of a man and he says I have no bro and sis
and his [painted picture] father is my father’s son?

Ans:
His son

12.
One question has last part like difference between two terms is 9 and product
of two numbers is 10, what is the squares of sum of numbers?

Ans:
thought process : a-b=9 and ab= 10

a+b =
sqrt[9^2 + 4*10] = 11

a= 10
and b=1 so 101 ans.

13.
What is the value of [(3x+8Y)/(x-2Y)]; if x/2y=2?

Ans:10
{the numerical may change)

14.
A pizza shop made pizzas with to flavours.in home there are ‘N’ different
flavors, in that ‘M’ flavors are taken to made pizza.in how many ways they can
arrange?

(Logic:
NcM )

14.
One grandfather has three grandchildren, two of their age difference is 3,
eldest child age is 3 times youngest child’s age and eldest child’s age is two
times of sum of other two children. What is the age of eldest child?

Ans:15

15 .
In one organization, material, labour and maintenance are in the ratio of
4:6:7, the material cost is: Rs. 100, what is the total cost?

Ans:
425

16. KEYWORDS:
density, reluctance, sensitivity, voltage, current, what is the resistance
Formula is “R=V/I”

17.
In a market 4 man are standing .the average age of the four before 4 years is
45, after some days one man is added and his age is 49. What is the average age
of all?

Ans:
49

18.
In a school for a student out of a 100 he got 74 of average for 7 subjects and
he got 79 marks in 8th subject. what is the average of all the subjects?

Ans:
74.625

19.
In a question ,last part has, the ages of two people has the ratio of 6:6 and
by adding the numbers we get 44, after how many years the ratio would be 8:7?

Ans:
8

20.
One train travels 200m from A to B with 70 km/ph and returns to A with 80kmph,
what is the average of their speed?

Ans:
Use harmonic mean formula: avg speed = 2ab/a+b = 2*70*80/150

21.
A question like a wire is wound whose resistance is some 132. 44647
ohms. If a voltage of 30 mv, 296 ma current is applied to it what is the
resistance.

Clue:
use formula R= V/I. beware of voltage & current particularly kilo or
milli etc. units.

22. In a city, there are 100
buildings numbered by corporation between 0-100, how many twos are shown in
door,

Ans: 2,12,20,21,22,23,24,25,26,27,28,29,32,42,52,62,72,82,92=(20 twos)

Ans: 2,12,20,21,22,23,24,25,26,27,28,29,32,42,52,62,72,82,92=(20 twos)

1. Which is the
smallest no divides 2880 and gives a perfect square?

a.1
b.2 c.5 d.6

Ans: c

2. In
school there are some bicycles and 4wheeler wagons.one Tuesday there are 190
wheels in the campus. How many bicycles are there?

Ans: 15

3.
Man, Bear, North, South, walks. Colour of bear(Hint: North pole )

Ans:
White

4. A
father has 7 penny�s with him and 1 water
melon is for 1p, 2chickoos for 1p, 3 grapes foe 1p.he has
three sons. How can he share the fruits equally?

Ans:
1 watermelon, 2chickoos, 1grape

5. (1/2) of a number is 3 times more than the (1/6) of the same number?

5. (1/2) of a number is 3 times more than the (1/6) of the same number?

Ans:
9

6. There are two pipes A and B. If A filled 10 liters in hour B can fills 20 liters in same time. Likewise B can fill 10, 20, 40, 80,160�.if B filled in (1/16) th of a tank in 3 hours, how much time will it take to fill completely?

6. There are two pipes A and B. If A filled 10 liters in hour B can fills 20 liters in same time. Likewise B can fill 10, 20, 40, 80,160�.if B filled in (1/16) th of a tank in 3 hours, how much time will it take to fill completely?

Ans:
7 hours

7. In
a market 4 man are standing .the average age of the four before 4years is
45,aftyer some days one man is added and his age is 49.what is the average
weight of all?

Ans:
49

8. There are 10 reading spots in a room. Each reading spot has a round table. Each round table has 4 chair. If different no of persons are sitting at each reading spot. And if there are 10 persons inside the room then how many reading spots donot have atleast a single reader.

(1)
5 (2) 6
(3) 7 (4) None

Ans
6. because different no of persons are sitting on round table. So possible
differnt combinations for 10 people will be 1 2 3 4. because max 4 people can
sit on round table. so round tables left are 6.

9. A
person do rock climbing at an altitude of 800 m.He go up by 7 mph. and come
down by 9 mph. what was his av speed.

Ans
(7+9)/2=8.

10. A
boy want to make a cuboid of dimension 5m, 6m, 7m. from small cubes of .03 m3.
later he realized he can make same cuboid by making it hollow. Then it take
some cubes less. What is the no. of these cube.

Ans.
Vol of solid cuboid= 5*6*7=210 m3. Vol of its inner cuboid by removal of which
the cuboid will be hollow= (5-2)*(6-2)*(7-2)=60 m3, then ans will be 60/.03

11.
Two years ago A was 6 times older than B. Now he is 2 times older than B. What
is the age of A.

Ans.
Age of A=5, Age of B= Two and half.

12.
What is thew value of (78*78*78-45*45*45)/(78*78+78*45+45*45)

Ans.
78-45=33. a3-b3=(a-b)(a2+ab+b2)

1) Two pipes A and B fill at A
certain rate B is filled at 10,20,40,80,. If 1/16 of B if filled in
17 hours what time it will take to get completely filled

Ans
21

2) In a shopping mall with a staff of 5
members the average age is 45 years. After 5 years a person joined them and the
average age is again 45 years. What’s the age of 6th person?

3) Find (4x+2y)/ (4x-2y) if x/2y=2

4) Find average speed if a man travels at
speed of 24kmph up and 36kmph down at an altitude of 200m.formula is 2xy/(x+y)

5) Same model as 4th question. But it is on
flat surface. Formula is same 2xy/(x+y).

6) Six friends go to pizza corner there r 2
types of pizzas. And six different flavors r there they have to select 2
flavors from 6 flavors. In how many ways we can select?

Ans:
6C2

7) 3, 15, x, 51, 53,159,161. Find X

Ans:
17

8) 3
friends A, B, C went for week end party to McDonald’s restaurant and there they
measure there weights in some order IN 7 rounds. A;B;C;AB;BC;AC;ABC. Final round
measure is 155 kg then find the average weight of all the 7 rounds?

Ans:
4(155)/7=31

9) There is a toy train that can make 10
musical sounds. It makes 2 musical sounds after being defective. What is the
probability that same musical sound would be produced 5 times consecutively? (1
of )?

Answer: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

Answer: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

10)
(There was a long story, I'll cut short it). There are 5 materials to make a
perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume
that is in demand the following conditions are to be followed: Lilac and
Balsamic go together. Woody and MI mosaic go together; Woody and Balsamic never
go together. Lemon can be added with any material. (Actually they had also
mentioned how much amount of one can be added with how much quantity of the
other; but that's not needed for the question.) All of the following
combinations are possible to make a perfume except:

1) Balsamic and Lilac

2) Woody and Lemon

3) MI mosaic and Woody

4) MI mosaic and Lilac

11) A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value). What will be the area of the square made from the same rope?

1) Balsamic and Lilac

2) Woody and Lemon

3) MI mosaic and Woody

4) MI mosaic and Lilac

11) A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value). What will be the area of the square made from the same rope?

Ans:
((A+B+C)/4)2

12)
What is the distance of the z-intercept from the x-intercept in the equation
ax+by+cz=d (I do not remember the values of a, b, c, d).

Ans:
sqrt ((d/a) 2+ (d/c) 2)

13) A
scientist in Antarctic region conducts research on bears came to know that
bears changes according to the location .once he moves 1 mile towards north,
then he moves 2 miles towards east, then 1 mile towards south. Now the color of
bear he found will be in:

Ans:
white

14) (1/3) of a number is 3 times more than
the (1/6) of the same number?

Ans
is 18

15)
There are 11 boys in a family. Youngest child is a boy. What is the probability
of all are boys?

a)
2 b) 2! C)
2048 d) 1024

16) A
boy bought a roll A of 56 inches wide and 141 yards long. He also bought B of
77 inches wide of length 333yards. We don’t want any details of B. Some
irrelevant matter. Final question is Time taken for cutting A into 1 yard piece
is 2 seconds. Time taken to cut into 141 pieces of 1 yard each is?

Ans
is 2(141) =242

17) A
Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After
one year, again he buys the same horse at 30 pounds and sells it for 40 pounds.
What is the profit for that person?

Ans
is 15 pounds

18)
John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop
Keeper exchanged the cheque with his neighbor and gave change to John. After 2
days, it is known that cheque is bounced. Shop keeper paid the amount to his
neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for
shop keeper?

Ans
is 23(cost price + change given).

19) In
a family there are some boys and girls. All boys told that they are having
equal no of brothers and sisters and girls told that they are having twice the
no. of brothers than sisters. How many boys and girls present in a family?

Ans
is 4 boys and 3 girls

20) There are certain number of hats and
gloves in a box. They are of 41 red, 23 green, 11 orange. Power gone. But a
woman can differentiate between hats and gloves.How many draws are required to
obtain a pair of each color.

21) There is a die with 10 faces. It is not
known that fair or not. 2 captains want to toss die for batting selection. What
is the possible solution among the following?

a) If
no. is odd it is head, if no. is even it is tail

b) If
no. is odd it is tail, if no. is even it is head

I
didn’t remembered last option and I don’t know answer.

22) 2
years ago of A is x times that of B. 3 Years hence the age of A is 4/3 times of
B. What is the present age of B in binary form?

I
didn’t remember the exact values of x and y. You can solve easily.

23)
metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then
the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner.
What is the final width of that arrangement?

Ans
is (z-1) (y-x) +x.

24)
There are 100 men and 100 women on the dance floor. They want to dance with
each other. Then which of the following statements is always true:

a)
There are 2 men who danced with equal no. of women’s

b)
There are 2 women who danced with equal no. of men

25) A
game is played between 2 players and one player is declared as winner. All the
winners from first round are played in second round. All the winners from
second round are played in third round and so on. If 8 rounds are played to
declare only one player as winner, how many players are played in first round

Ans
is 2

^{8}^{.}
26)
There are 3 boys A, B, C and 2 Girls D, E. D always sit right to A. Girls never
sit in extreme positions and in the middle position. C always sits in the
extreme positions. Who is sitting immediate right to E?

Ans
is B or C

27)
49 members attended the party. In that 22 are males, 17 are females. The shake
hands between males, females, male and female. Total 12 people given shake
hands. How many such kinds of such shake hands are possible?

Ans
is

^{12}C_{2}
28)
There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited
that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller
than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?

a)
Linda is shorter among them

b)
Chelsea is taller than Julia

c)
Chelsea is shorter than Julia

d)
Cannot determine who is taller among Chelsea and Julia

Ans: d

29)
Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact
change at the counter. You have 31p coin. In how many parts will u divide 31p
so that u will provide the exact change required and carry as less coins as
possible?

a) 22
b) 31 c) 6 d) 32

Ans is 6

30)
There are 2 friends Peter and Paul. Peter age is twice as old as Paul when
peter was as old as Paul is now. Sum of the present ages of Peter and Paul is
35.What is the present age of Peter?

Ans
is 20

1)
Horse started to chase dog as it relieved stable two hours ago. And horse
started to ran with average speed 22km/hour, horse crossed 10 mts road and two
small pounds with depth 3m, and it crossed two small street with 200 mts
length. After travelling 6 hrs, 2 hours after sunset it got dog. Compute the
speed of dog?

Ans: As we have speed and travel time of horse, we can get distance travelled by it.

Hence d = 22*6 = 132km,

Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).

Hence speed of dog = 132/8 = 16.5km/hr

Ans: 16.5km/hr.

Ans: As we have speed and travel time of horse, we can get distance travelled by it.

Hence d = 22*6 = 132km,

Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).

Hence speed of dog = 132/8 = 16.5km/hr

Ans: 16.5km/hr.

2)
(There was a long story, I'll cut short it). There are 5 materials to make a
perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume
that is in demand the following conditions are to be followed: Lilac and
Balsamic go together. Woody and MI mosaic go together; Woody and Balsamic never
go together. Lemon can be added with any material. (Actually they had also
mentioned how much amount of one can be added with how much quantity of the
other; but that's not needed for the question.) All of the following
combinations are possible to make a perfume except:

1) Balsamic and Lilac

2) Woody and Lemon

3) MI mosaic and Woody

4) MI mosaic and Lilac

1) Balsamic and Lilac

2) Woody and Lemon

3) MI mosaic and Woody

4) MI mosaic and Lilac

3)
John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop
Keeper exchanged the cheque with his neighbour and gave change to John. After 2
days, it is known that cheque is bounced. Shop keeper paid the amount to his
neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for
shop keeper?

Ans:
Is 23(cost price 19 + change given 4).

4)
A game is played between 2 players and one player is declared as winner. All
the winners from first round are played in second round. All the winners from
second round are played in third round and so on. If 8 rounds are played to
declare only one player as winner, how many players are played in first round

Ans:
Is 28.

5)
Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact
change at the counter. You have 31p coin. In how many parts will you divide 31p
so that you will provide the exact change required and carry as less coins as
possible?

a)
22 b) 31 c) 6 d) 32

Ans:
Is 6

6)
There are 11 boys in a family. Youngest child is a boy. Probability is 1
that of all are boys out of?

a)
2 b) 2! C)
2048 d) 1024

Ans:1024

7)
Two bowls are taken, one contains water and another contains tea.one spoon of
water is added to second bowl and mixed well, and a spoon of mixture is taken
from second bowl and added to the second bowl. Which statement will hold good
for the above?

Ans:
Second liquid in first bowl is smaller than the first mixture in second bowl)

8)
Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy.
Founded by Enzo Ferrari in 1928 as Scuderia Ferrari , the company sponsored
drivers and manufactured race cars before moving into production of
street-legal vehicles in 1947 as Feraari S.P.A. Throughout its history, the
company has been noted for its continued participation in racing, especially in
Formula One where it has employed great success .Rohit once bought a Ferrari .
It could go 4 times as fast as Mohan's old Mercedes. If the speed of
Mohan's Mercedes is 46 km/hr and the distance traveled by the Ferrari is
953 km, find the total time taken for Rohit to drive that distance.

a)
20.72 b) 5.18 c)
238.25 d) 6.18

Ans:
b

9)
A sheet of paper has statements numbered from 1 to 70. For all values of n from
1 to 70. Statement n says 'At least n of the statements on this sheet are
false.' Which statements are true and which are false?

a)
The even numbered statements are true and the odd numbered are false.

b) The odd numbered statements are true and the even numbered are false.

c) The first 35 statements are true and the last 35 are false.

d) The first 35 statements are false and the last 35 are false.

b) The odd numbered statements are true and the even numbered are false.

c) The first 35 statements are true and the last 35 are false.

d) The first 35 statements are false and the last 35 are false.

Ans:
d

10)
Middle earth is a fictional land inhabited by Hobbits, Elves, dwarves and
men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent
lives and appreciate nature and art. The dwarves and the men engage in physical
games. The game is as follows . A tournol is one where out of the two teams
that play a match, the one that loses get eliminated. The matches are played in
different rounds where in every round , half of the teams get
eliminated from the tournament. If there are 8 rounds played in a
knock-out tournol how many matches were played?

a) 257 b) 256 c) 72 d) 255

a) 257 b) 256 c) 72 d) 255

Ans:
b

11)
A lady has fine gloves and hats in her closet- 18 blue- 32 red and 25 black.
The lights are out and it is totally dark inspite of the darkness. She can make
out the difference between a hat and a glove. She takes out an item out
of the closet only if she is sure that if it is a glove. How many gloves must
she take out to make sure she has a pair of each colour?

a) 50 b) 8 c) 60 d) 42

a) 50 b) 8 c) 60 d) 42

Ans:50

12)
Alok and Bhanu play the following coins in a circle game. 99 coins are arranged
in a circle with each coin touching two other coin. Two of the coins are
special and the rest are ordinary. Alok starts and the players take turns
removing an ordinary coin of their choice from the circle and bringing the
other coins closer until they again form a (smaller) circle. The goal is to
bring the special coins adjacent to each other and the first player to do so
wins the game. Initially the special coins are separated by two ordinary coins
O1 and O2. Which of the following is true?

a)
In order to win, Alok should remove O1 on his first turn.

b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.

c) In order to win, Alok should remove O2 on his first turn.

d) Alok has no winning strategy.

b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.

c) In order to win, Alok should remove O2 on his first turn.

d) Alok has no winning strategy.

13)
There is a die with 10 faces. It is not known that fair or not. 2 captains want
to toss die for batting selection. What is the possible solution among the
following?

a)
If no. is odd it is head, if no. is even it is tail

b) If no. is odd it is tail, if no. is even it is head

c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head. I didn’t remembered last option and I don’t know answer.

b) If no. is odd it is tail, if no. is even it is head

c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head. I didn’t remembered last option and I don’t know answer.

14)
Ferrari is leading car manufacturer.*Ferrari S.p.A.* is an Italian sports car.
It has enjoyed great success. If Mohan's Ferrari is 3 times faster than his old
Mercedes wich gave him 35kmph if Mohan travelled 490 km in his ferrari the hw
much time(hours) he took?

a) 8 b)4 c) 7 d) 7.33

a) 8 b)4 c) 7 d) 7.33

(Options
may be different)

15)
In an exam there are total 12 questions. From the first 4 questions a student
has to answer 2 questions which are compulsory. And he has to answer 5 from the
rest. In how many ways he can answer questions.

Ans: 4c2*8c5 ( it is combination problem)

Ans: 4c2*8c5 ( it is combination problem)

16)
A gun has a nozzle velocity 330 mt/sec. It has to meet a target which is at a
distance 5km. It retards at a rate of 8 mt/sec/sec while travelling in air.
Find the velocity at a place where the bullet will meet the target.

Ans: You=330mt/sec s=5km=5000mt apply formula v2=u2-2as

V=?

Ans: You=330mt/sec s=5km=5000mt apply formula v2=u2-2as

V=?

17)
For school children a software was designed.\In that \software one monkey has
to choose balloons. If a monkey chooses 2 at a time and continues
picking then 1 baloon is left. If it picks 5 at a time then the remaining
is zero,if it picks 6 at a time then remaining is 3. What is the total number
of balloons?

a)
72 b) 75 c) 79) d) 80

Ans:
75 ( Just devide the choosing patten in the number and check whether you are
getting the remainder as the remaining value). If it chooses 6 at a time and
continues then 75-(12*6)=3 which satisfies the condition

18)
There are two statements. There is also a question. Choose 1 if the question
can be answered by using either one. Choose 2 if the question can be answered
using both the statements. Choose 3 if the question can not be answered using
these two statements

Statement1:
Avinash spends 30% on house rent, 20% on children’s education,40% on foods

Statement 2: Pritam spends 20% on house rent, 45% on children’s education,20% on food

Question: If pritam spends more than avinash on foods who spends more on children’s education?

Statement 2: Pritam spends 20% on house rent, 45% on children’s education,20% on food

Question: If pritam spends more than avinash on foods who spends more on children’s education?

The
question can be answered by

a)
1 b) 2
c)3

Ans: c

Ans: c

19)
A hollow space on earth surface is to be filled. Total cost of filling is
Rs20000. The cost of filling per mt3 is Rs 225 .how many times a size of 3 mt3
soil is required to fill the hollow space?

Ans: 20000/225=88.88

Ans: 20000/225=88.88

88.88/3=29.62

So
30 times of 3 mt3 is required to fill the space completely

20)
There are different things like p,q,r,s,t,u,v. We can take p and q together. If
r and s are taken together then t must has to be taken. u and v can be taken
together.v can be taken with p or s. every thing can be taken together except

a)p b)t c)v d)s

a)p b)t c)v d)s

Ans:
t

21)
New town is straight to the north of New york. A high way M runs from
newtown making an angle of 61 degree south east. from newyork there is also an
high way N which runs northeast 61 degrees.if high ways M and N are straight
then findout the acute angle made at their intersection point.

Ans:
180-(61+61)=58 (the high ways make a triangle the addition of 3 angles of a
triangle is 180)

22)
There are 7 meetings A,B,C,D,E,F,G .one meeting should happen in one day.
Meeting A is on Sunday c and d meetings should happen after B. Then E ,F,G
meetings should occur in three conjucutive days. And meeting g is on Saturday.
Then meeting the should occur on which day?

a) sun b) mon c)wed d)fri

a) sun b) mon c)wed d)fri

Ans:
c

23)
There are 9 weights like 16,19.156.26, 106,15,24,36 (in kg). There are three
persons like rohit, sameer and imran. each lifts 3 types of weights.
Rohit”s total lifted weight is 2 times than the weight lifted
by rohit. What is the weight lifted by imran?

Ans:
Total weight=16+19+156+26+106+15+24+36=398 kg

Suppose option is y kg lifted by imran(choose from option) then 3x+y=398

=>x=(398-y)/3 here x should be a whole number then y is the weight lifted by imran.

Suppose option is y kg lifted by imran(choose from option) then 3x+y=398

=>x=(398-y)/3 here x should be a whole number then y is the weight lifted by imran.

__________________________________________________________________________________

**Pattern 1:**

1. (1/2) of a number is 3 more than the (1/6) of the same number?

a) 6 b)7 c)8 d)9

Solution:

Let the number be x,

((1/2)*x)=3+(1/6)*x,

Then solve x

2.
(1/3) of a number is 3 more than the (1/6) of the same number?

a) 6 b)16 c)18 d)21

a) 6 b)16 c)18 d)21

3.
(1/3) of a number is 6 more than the (1/6) of the same number?

a) 6 b)18 c)36 d)24

a) 6 b)18 c)36 d)24

4.
(2/3) of a number is 4 more than the (1/6) of the same number?

a) 6 b)8 c)36 d)24

a) 6 b)8 c)36 d)24

5.
(1/3) of a number is 5 more than the (1/6) of the same number?

a) 6 b)36 c)30 d)72

a) 6 b)36 c)30 d)72

**Pattern 2:**

1. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?

a) 26 B)25 c)5 d)27

Solution: for every hour water in tank in B is
doubled,

Let the duration to fill the tank B is x
hours.

x/32 part of water in tank of B is filled in
21 hours,

Next hour it is doubled so,

2*(x/32) part i.e (x/16) part is
filled in 22 hours,

Similarly (x/8)th part in 23 hours,(x/4)th part is filled in 24
hours,

(x/2)th part is filled in 25 hours, (x)th part
is filled in 26 hours

So answer is 26 hours.

2.
There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20
liters in same time. Likewise B can fill 10, 20, 40, 80, 160. If B filled in
1/16 of a tank in 3 hours, how much time will it take to fill the tank
completely?

a) 9 B) 8 c) 7 d) 6

a) 9 B) 8 c) 7 d) 6

3.
There are two water tanks A and B, A is much smaller than B. While water fills
at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40,80,
160…..in tank B. 1/8 th of the tank B is filled in 22 hours. What is the time
to fill the tank fully?

a) 26 B) 25 c) 5 d) 27

a) 26 B) 25 c) 5 d) 27

4.
A tank is filled with water. In first hour 10 liters, second hours 20 liters,
and third hour 40 liters and so on. If time taken to fill ¼ of the tank if 5
hours. What is the time taken to fill up the tank?

a) 5 B) 8 c) 7 d) 12.5

a) 5 B) 8 c) 7 d) 12.5

5.
If a tank A can be filled within 10 hours and tank B can be filled ¼ in 19
hours then, what is the time taken to fill up the tank completely?

a) 21 B) 38 c) 57 d) 76

a) 21 B) 38 c) 57 d) 76

**Pattern 3:**

1. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person?

a) 43 b) 69 c) 52 d) 31

Solution:

Total age of 6 persons is x hours,after two
years total age of 6 persons is x+12

Average age of 6 persons is after two years is
43

So (x+12)/6=43,then solve x,

After 7

^{th}person is added then (x+7^{th}person age)/7=45
So we will get 7

^{th}person age easily2. In a market 4 men are standing. The average age of the four before 4years is 45, after some days one man is added and his age is 49. What is the average age of all?

a) 43 b) 45 c) 47 d) 49

3. In a shopping mall with a staff of 5 members the average age is 45 years. After 5 years a person joined them and the average age is again 45 years. What’s the age of 6th person?

a) 25 b)20 c)45 d)30

4. In a market 4 men are standing .The average age of the four before 2 years is 55, after some days one man is added and his age is 45. What is the average age of all?

a) 55 b) 54.5 c) 54.6 d) 54.7

**Pattern 4:**

1. In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?

a) 8 b) none c) 16 d) 15

Solution: 23 reading spots, Each reading spot
consists of 9 chairs placed around it so There are some readers such that in
each occupied reading spot there are different numbers of readers.

For each table different no of persons are
sat,so for first table 1 person is sit,2

^{nd}table 2 persons are sit 36
readers means(1+2+3+4+5+6+7+8 so 8 tables are filled so 23-8=15
reading spots does not have single reader.

2. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many tables will be left out without at least 1 person?

a) 8 b) 6 c) 2 d) 7

3. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank?

a) 8 b) 6 c) 2 d) 7

1. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?

a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mph

2. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many tables will be left out without at least 1 person?

a) 8 b) 6 c) 2 d) 7

3. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank?

a) 8 b) 6 c) 2 d) 7

**Pattern 5:**1. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?

a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mph

Solution: Average speed=(2*x*y)/(x+y)

2.
A man travels from A to B at 4 mph over a certain journey and returns over the
same route to A, at 5 mph. What is his average speed for the journey?

a) 4.44 mph b) 4.8 mph c) 4.887 mph d)5 mph

a) 4.44 mph b) 4.8 mph c) 4.887 mph d)5 mph

3.
A person is rock climbing at an altitude of 800 m. He go up by 7 mph. and come
down by 9 mph. what was his average speed?

a) 7.875 mph b) 7.125 mph c) 7mph d) 7.5 mph

a) 7.875 mph b) 7.125 mph c) 7mph d) 7.5 mph

4.
Find average speed if a man travels at speed of 24kmph up and 36kmph down at an
altitude of 200m?

a) 28.8 mph b) 27.8 mph c) 27.5mph d) 30 mph

a) 28.8 mph b) 27.8 mph c) 27.5mph d) 30 mph

5.
Person travels to a hill, if he goes from A to B with speed of 4kmph and
returns back to B with speed of 5kmph. What is his average speed of journey?

a) 4.5kmph b) 4.44kmph c) 9kmph d) 4.245kmph

a) 4.5kmph b) 4.44kmph c) 9kmph d) 4.245kmph

6. A man travels from A to B at 70 mph over a
certain journey and returns over the same route to A, at 80 mph. What is his
average speed for the journey?

a) 74.66 b)75 c)74.33 d)74.99

a) 74.66 b)75 c)74.33 d)74.99

7. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m.

a) 28.8 b)28 c)27 d)28.6

**Pattern 6:**

1. Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?

a) 114 b) 135 c) 21 d) 71

Solution: I do not know perfectly but I got
some solutions from internet I do not know correctly whether it is tru e or
not,((3*9*5))-((3-2)*(9-2)*(5-2)) so answer is 114.

2. A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?

a) 2000 b) 5000 c) 3000 d) 7000

3. Smita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube looking of the same shape?

a) 98 b) 104 c) 100 d) 61

4. Leena cut small cubes of 10 cm dimension each. She joined it to make a cuboid of length 100 cm, width 50 cm and depth 50 cm. How many more cubes does she need to make a perfect cube?

a) 500 b) 250 c) 750 d) 650

5. Leena cut small cubes of 3 cubic cm each. She joined it to make a cuboid of length 10 cm, width 3 cm and depth 3 cm. How many more cubes does she need to make a perfect cube?

a) 910 b) 250 c) 750 d) 650

6. A lady builds 9cm length, 10cm width,3cm height box using 1 cubic cm cubes. What is the minimum number of cubes required to build the box?

a) 730 b) 270 c) 720 d) 310

**Pattern 8:**

1. (40*40*40 – 31*31*31)/(40*40+40*31+31*31)=?

a)8 b)9 c)71 d)51

Solution:a

^{3 }-b^{3}=(a-b)*(a^{2}+a*b+b^{2}) so from this formula we will find (a-b) value2. (98*98*98 – 73*73*73)/( 98*98*98 – 73*73*73)=?

a).171 b).4 c).420 d).415

3. (209*144)^2 + (209*209)+(209*144)+(144*144) = ?

a)905863729 b)905368729 c)905729368 d)65

**Pattern 9:**

1. ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2

a)8 b)none c)16 d)15

Solution: substitute x=4y in above we can find solution

2.
x/2y = 2a,then 2x/x-2ay=?

a)4 b)8 c)16 d)2

a)4 b)8 c)16 d)2

3.
3X/5Y = 5Y/3X…..Find the value of X/Y

a)3/5 b)5/3 c)2/5 d)5/2

a)3/5 b)5/3 c)2/5 d)5/2

4.
What is the value of (3X+8Y)/(X-2Y), if X/2Y=2

a)8 b)none c)10 d)13

a)8 b)none c)10 d)13

5.
(4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2

a)48/5 b)46/5 c)47/5 d)49/5

a)48/5 b)46/5 c)47/5 d)49/5

6. ((4x+2y)/(4x-2y)= ? as (x/2y) = 2

a)8/7 b)9/7 c)11/7 d)6/7

a)8/7 b)9/7 c)11/7 d)6/7

**Pattern 10:**1. A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings?

a) 16 b) 56 c) 112 d) 28

Solution: 8c2

2.
A pizza shop made pizzas with many flavors. There are 10 different flavors, in
that 7 flavors are taken to make pizza. In how many ways they can arrange?

a) 240 b) 120 c) 65 d) 210

a) 240 b) 120 c) 65 d) 210

3. A pizza shop made pizzas with many flavors.
There are 9 different flavors, in that 2 flavors are taken to make pizza. In
how many ways they can arrange?

a) 16 b) 26 c) 36 d) 46

a) 16 b) 26 c) 36 d) 46

**Pattern 11:**1. 3, 22, 7, 45, 15,? , 31

a) 91 b)151 c) 90 d) 5

2.
8 6 17 14 35 31 75 _ 143?

3. Inspired by Fibonacci series Sangeet decided to create his own series which is 1, 2, 3, 7, 7, 22, 15, 67, 31, _, 63?

a) 202 b) 31 c) 76 d) 49

3. Inspired by Fibonacci series Sangeet decided to create his own series which is 1, 2, 3, 7, 7, 22, 15, 67, 31, _, 63?

a) 202 b) 31 c) 76 d) 49

4.
3, 12, 7, 26, 15, ?

a) 54 b) 27 c) 108 d) 31

a) 54 b) 27 c) 108 d) 31

5.
1! + 2! + ……. + 50!=?

a)3.1035*10^64 b)2.1021*10^65 c)3.1035*10^63 d)3.1035*10^62

a)3.1035*10^64 b)2.1021*10^65 c)3.1035*10^63 d)3.1035*10^62

6.
1, 2, 3, 6, 7, 14, _, 32?

7.
5, 9, 12, 18, 26, 36, 47, 72, _?

a) 75 b) 135 c) 100 d) 55

a) 75 b) 135 c) 100 d) 55

8. 3, 15, x, 51, 53,159,161

a) 17 b) 34 c) 54 d) 112

a) 17 b) 34 c) 54 d) 112

**Pattern 12:**1. Simple question but big one on average age.sth like a, b, c weighted separately 1st a, b, c ,then a& b, then b & c ,then c & a at last abc, the last weight was 167,then what will be the average weight of the 7 reading?

a) 95 b) 95.428 c) 95.45 d) 94

Solution: Last weight abc is 167i.e three persons weight is 167 .in first 6 combinations a,b,c,ab,bc,ac i.e a checked weight for 3 times totally like that band c also so total weight in all 7 combinations is (4*167)

Average is (668/7)=95.42

**Pattern 13:**1. A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type?

a) 1 in 16 B) 1 in 4 c) 1 in 8 d) 1 in 32

Solution: Initially it produces 10 sounds and
the defect came and now it produces only 2 different sounds and consecutively
so there are totally 2 sounds and we have to select on sound and the
probability is ½ and it produces the same sound concecutively for 2 times so
the probability becomes ½*1/2 ie ¼

2. A car manufacturer produces only red and blue models which come out of the final testing area at random. What are the odds that five consecutive cars of same color will come through the test area at any one time?

a) 1 in 16 b) 1 in 125 c) 1 in 32 d) 1 in 25

**Pattern 15:**

1. A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?

a) 280.5625 b) 240.5625 c) 280.125 d) 240

Solution:add all sides 25+11+31 to get rope
length rope length =67,rope is made in to as square

So side of square is 67/4=16.75 and so area is
16.75*16.75=280.5625

2. A triangle is made from a rope. The sides of the triangle are 21 cm, 24 cm and 28 cm. What will be the area of the square made from the same rope?

a) 280.5625 b) 333.0625 c) 333.0125 d) 400

**Pattern 16:**

1. What is the distance between the z-intercept from the x-intercept in the equation ax+by+cz+d=0

Solution:intercept form equation

2. What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).

**Pattern 17:**

1. A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he travelled 1mile in north direction & reached at North Pole. There he saw a bear. He then followed the bear around 1 hr with a speed of 2km/hr in east direction. After that he travelled in south direction & reached at his lab in2 hrs. Then what is the color of the bear?

a) White b) Black c) Gray d) Brown

Solution is: White. above all the matter is
nonsense

**Pattern 18:**1. Out of 7 children the youngest is boy then find the probability that all the remaining children are boys

a)1/64 b)1/32 c)1/128 d)1/256

**Pattern 19:**

1. Usha bought a linen cloth and rope to build a tent. If the rope is 153 m long and it is to be cut into pieces of 1m length, then how many cuts are to be made to cut the ropes into 153 pieces?

a)153 b)152 c)154 d)155

Solution:to make it 153 pieces we have to cut 152 times so
obviously after last cut we got 153

^{rd}piece
2.
A person has to make 146 pieces of a long bar. He takes 4 seconds to cut a
piece. What is the total time taken by him in seconds to make 146 pieces?

a) 584 b) 580 c) 730 d) 725

a) 584 b) 580 c) 730 d) 725

Solution:
146 pieces means 145 cuts so for each cut it takes 4 seconds means total time
145*4=580

3.
A person has to make 141 pieces of a long bar. He takes 2 seconds to cut a
piece. What is the total time taken by him in seconds to make 141 pieces?

a) 560 b) 280 c) 112 d) 324

a) 560 b) 280 c) 112 d) 324

**Pattern 20:**

1. Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up. The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month?

a) $27 b) $18 c) $45 d) $486

Solution: See last 3 lines only answer is 45-27=18

**Pattern 21:**

1. A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?

Solution: here we cannot consider depreciation or decay of item accto answer so go acc to answer

Totally 5+10=15$profit

**Pattern 22:**

1. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?

a)loss 23 b)gain 23 c)gain 54 d)Loss 54

Solution: Loss= Change of money given to
john(4$)+actual cycle cost 19$=23$ loss

**Pattern 23:**1. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

a) 50 b) 8 c) 60 d) 42

Solution: I am not able to answer this if i go in procedure
way so search in net by searching question. Better see below website

My answered questions may be answered there.

2. A lady has fine gloves and hats in her
closet- 14 blue, 20 red, and 18 yellow. The lights are out and it is totally
dark. In spite of the darkness, she can make out the difference between a hat
and a glove. She takes out an item out of the closet only if she is sure that
if it is a glove. How many gloves must she take out to make sure she has a pair
of each color?

3. A lady has fine gloves and hats in her closet- 13 blue, 27 red, and 40 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

4. A lady has fine gloves and hats in her closet- 25 blue, 7 red, and 9 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

5. A lady has fine gloves and hats in her closet- 26 blue, 30 red, and 56 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

3. A lady has fine gloves and hats in her closet- 13 blue, 27 red, and 40 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

4. A lady has fine gloves and hats in her closet- 25 blue, 7 red, and 9 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

5. A lady has fine gloves and hats in her closet- 26 blue, 30 red, and 56 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

**Pattern 24:**1. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option?

a)1/2 b)1/6 c)1/12 d)6/10

Solution is ½.

2. There is a die with 10 faces. It is not known that fair or not.
2 captains want to toss die for batting selection. What is the possible
solution among the following?

a) If no. is odd it is head, if no. is even it is tail

b) If no. is odd it is tail, if no. is even it is head

c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.

a) If no. is odd it is head, if no. is even it is tail

b) If no. is odd it is tail, if no. is even it is head

c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.

**Pattern 25:**
1. In a family there are some boys and girls. All boys told that
they are having equal no of brothers and sisters and girls told that they are
having twice the no. of brothers than sisters. How many boys and girls present
in a family?

a) 4 boys and 3 girls b) 3 boys and 4 girls c) 2 boys and 5 girls d) 5 boys and 2 girls

1. 10 men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?

a) 22 b) 20 c) 10 d) none

a) 4 boys and 3 girls b) 3 boys and 4 girls c) 2 boys and 5 girls d) 5 boys and 2 girls

**Pattern 26:**1. 10 men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?

a) 22 b) 20 c) 10 d) none

2. There are 100 men and 100 women on the dance floor. They want to dance with each other. Then which of the following statements is always true:

a) There are 2 men who danced with equal no. of women’s

b) There are 2 women who danced with equal no. of men

a) both a and b b)only a c)only b d)none

**Pattern 27:**

1. Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played?

a) 257 b) 256 c) 72 d) 255

Solution: Do not know perfect logic 2

^{8}2. A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round?

a) 256 b) 512 c) 64 d) 128

**Pattern 28:**

1. Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?

2. A, B, C, D, E are there among A, B, C are boys and D, E are girls D is to the left of A and no girl sits at the middle and at the extemes. Then what is the order of their sittings.

**Pattern 29:**

1. There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?

a) 6 b) 21 c) 28 d) 7

Solution: For handshakes type question i am confirming you that if the there are n members are there

Handshakes are given in linear
manner =n-1(last person cannot give hand shake to first person)

Handshakes are given in cyclic
manner =n(last person can give hand shake to first person)

But i do not know perfectly for
repetition it is nc2

2. 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?

a) 122 b) 66 c) 48 d)1 28

**Pattern 30:**

1. B is taller than j and 3 pillars. P is shorter than B and 2 pillars is j shorter/taller than P?

a) yes b) no c) may be d) can’t find

2. There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?

a) Linda is shorter among them

b) Chelsea is taller than Julia

c) Chelsea is shorter than Julia

d) Cannot determine who is taller among Chelsea and Julia

**Pattern 31:**

1. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?

a) 4 b) 5 c) 6 d) 7

Solution:
in btech we studied 8 4 2 1 code for binary system in digital logic proceed in
that way for answer it is 16 8 4 2 1 if u add all we will get 31 so 5 coins
required

**Pattern 32:**

1. Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?

a) 8 b) 20 c) 16 d) 15

**Pattern 33:**

1. 20 men handshake with each other without repetition. What is the total number of handshakes made?

a) 190 b) 210 c) 150 d) 250

2. 10 people are there, they are shaking hands together, how many hand shakes possible, if they are in no pair of cyclic sequence.

a) 45 b) 9 c) 12 d) 10

**Pattern 34:**

1. If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 20 two wheelers parked there

a) 48 b) 50 c) 52 d) 64

Solution: Proceed with answer is best in question they will give total no of wheels

2. If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 58 wheels are parked there

a)10 b) 33 c) 22 d) none

**Pattern 35:**

1. A man whose age is 45 yrs has 3 sons named John, Jill, jack. He went to a park weekly twice. He loves his sons very much. On a certain day he found the shop keepers selling different things. An apple cost 1penny, 2chocalate costs 1penny & 3 bananas cost 1 penny. He has bought equal number of apple, chocolate & banana for each son. If the total amount he invest is 7 penny then how many he has bought from each piece for his son?

a) 1app, 1cho, 1 banana b)1 app, 2cho,3 banana c)1app, 2cho, 1banana

2. One person had three children. He had 7 pennies. Find the distribution of the fruits among the three children. A melon costs 1 penny, 2 oranges cost 1 penny and 3 grapes cost 1 penny

a)2 melons, 1 orange, 1 grape b) 2 melons, 2 orange, 1 grape c) 1 melons, 2 orange, 1 grape.

**Pattern 36:**

1) The age of the two friends were in the ration of 6:5. If the sum of their ages is 55. Then after how many years their ratio will become 8:7?

a) 11 b) 7 c) 10 d) 12

Solution: 6x+5x=55, so x=5, put first ratio
after substitution is (6*5)/(5*5) and second ratio is 40/35 So difference in
numerators 40-30=10 years

2)The age of the two friends were in the ration of 6:5. If the sum of their ages is 66. Then after how many years their ratio will become 7:6?

a) 11 b) 6 c) 10 d) 12

3) The age of the two friends were in the ration of 2:3. If the sum of their ages is 55. Then after how many years their ratio will become 4:5?

a) 11 b) 33 c) 22 d) 44

2)The age of the two friends were in the ration of 6:5. If the sum of their ages is 66. Then after how many years their ratio will become 7:6?

a) 11 b) 6 c) 10 d) 12

3) The age of the two friends were in the ration of 2:3. If the sum of their ages is 55. Then after how many years their ratio will become 4:5?

a) 11 b) 33 c) 22 d) 44

**Pattern 37:**1) A volume of 10936 l water is in a container of sphere. How many semisphere of volume 4l each will be required to tranfer all the water into the small semispheres?

a) 2812 b) 8231 c) 2734 d) 4222

**Pattern 38:**

1) A person ismanufacturing a house. He bought 20 ropes of wire which has a density of 300 Kg/m3. The height of the building to be constructed is 40 m. If the capacity of the current passed in the wire is 20 A and the voltage capacity is 80 Volts. Then what will be the opposing force to the current if the wire is used?

a) 2 b) 4 c) 8 d) 1600

Solution: ohms law V=IR, Opposing force of current is resistance,
R=v/i

1) A horse chases a pony 2 hours after the pony runs.Horse takes 3 hours to reach the pony.If the average speed of the horse is 81Kmph.Then what is the average speed of the pony?

a) 46.4 b) 51 c) 53.4 d) 48.6

**Pattern 39:**1) A horse chases a pony 2 hours after the pony runs.Horse takes 3 hours to reach the pony.If the average speed of the horse is 81Kmph.Then what is the average speed of the pony?

a) 46.4 b) 51 c) 53.4 d) 48.6

Solution: Horse takes 3 hours to cover the distance

Pony takes 3+2 =5 hours to cover the same distance,
Velocity=distance/time, distance travelled by them is equal it is 81*3=243km,
speed of pony=243/5=48.6

3) A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what is the average speed of the pony

3) A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what is the average speed of the pony

**Pattern 40:**

1)The difference between two no is 9 and the product of the two is 14.What is the square of their sum?

a) 120 b) 130 c) 137 d) 145

Solution: a-b=9, ab=14, (a-b)

^{2}=a

^{2}+b

^{2}-2*a*b

2) The sum of two no is 5 and the product of the two is 14.What is the sum of their squares?

3) The sum of the squares of two no is 12 and their sum is 15.Find the product of the two no?

**Pattern 41:**

1) On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?

a) 17 b) 21.25 c) 12.25 d) 14.05

Solution: radius =7mm, then diameter 2*radius,
substitude diameter the in above equation you will get answer

**Pattern 42:**1) A man goes 50Km north , then turned left walked 40Km, then turned right ? In which direction he is?

a) North b) South c) East d) West

**Pattern 43:**

1) In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?

a) 18 b) 19 c) 20 d) 21.

Solution: You have to count and answer but be prepare with answer

2) In T.Nagar the building were numbered from 1 to 100. Then how many 6’s will be present in the numbers?

a) 18 b) 19 c) 20 d) 21

3) In T.Nagar the building were numbered from 1 to 100. Then how many 1’s will be present in the numbers?

a) 18 b) 19 c) 20 d) 21

4) In T.Nagar the building were numbered from 1 to 100.Then how many 0’s will be present in the numbers?

a) 18 b) 19 c) 20 d) 11

**Pattern 44:**

1) A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21. What is the remainder left, when twice the number is divided by 3D?

a) 13 b) cannot be determined c) 3 d) 42

**Pattern 45:**

1) Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.

a) 20.72 b) 3.5 c) 238.25 d) 6.18

Solution: Speed of Ferrari =4*35=140,time=distance/velocity,

2)
Ferrari S.P.A is an Italian sports car manufacturer based in Marane llo, Italy.
Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored
drivers and manufactured race cars before moving into production of
street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the
company has been noted for its continued participation in racing, especially in
Formula One where it has employed great success .Rohit once bought a Ferrari.
It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's
Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953 km, find the
total time taken for Rohit to drive that distance.

a) 20.72 b) 5.18 c) 238.25 d) 6.18

a) 20.72 b) 5.18 c) 238.25 d) 6.18

**Pattern 46:**

1) A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ‘Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered are false.

b) The odd numbered statements are true and the even numbered are false.

c) The first 35 statements are true and the last 35 are false.

d) The first 35 statements are false and the last 35 are false.

**Pattern 47:**

1) A man goes north 37km.turns left goes 2km.turns right goes 17km.turns right goes 2km. find distance b/w starting ending point.

a) 54 b) 27 c) 81 d) 67

**Pattern 48:**

1) If there are 30 cans out of them one is poisoned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisoned can?

a) 3 b) 2 c) 6 d) 1

**Pattern 49:**

1) If a and b are mixed in 3:5 ration and b and c are mixed in 8:5 ration if the final mixture is 35 liters, find the amount of b?

A) 13.34 b) 15.73 c) 16.73 d) 9.45

Solution: Solve for a:b:c,then b ratio is b/(a+b+c)*35

**Pattern 50:**

1) If we subtract a number with y, we get 4 increase of number, once it got divided by y itself... Find that number??

A) 13 b) 12 c) 14 d) 11

**Pattern 51:**

1) It is the class with the seating arrangement in 4 rows and 8 columns. When the teacher says 'start' the girl who is sitting in first row and first column will say 1, then the next girl sitting behind her will say 4, the next girl sitting behind that girl will say 7, in a particular order each girl is telling a number, the following girls told 10, 13 next turn is yours what u will say?

a) 15 b) 17 c) 14 d) 16

Solution: It is a series 1, 4, 7, 10, 13.

**Pattern 52:**

1) It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color?

a) 2 b) 3 c) 48 d) 25

2) Lady has 2 select gloves & hat from a basket. In the dark, she can distinguish hat & gloves. 14 red, 20 blue, 18 green are there. Find probability that any selected glove pair has same color.

3) A lady had fine gloves and hats. 25 blue, 7 red and 9 gey. She
had to select a pair among them. But there was no light so she had to select in
darkness the correct pair with a glove and a hat. Therefore how many
combinations of same color she can select?

**Pattern 53:**

1) If the Valentine’s Day in 2005 falls on Monday, then on which
day will the Valentine’s Day fall on 2010?

A) Saturday b) Thursday c) Wednesday d) Sunday

A) Saturday b) Thursday c) Wednesday d) Sunday

**Pattern 54:**

1. A person run from A to B.He took ¼ of the time less to reach B
when compare to run at normal Speed.Then how many percentage he has increased
his speed?

a) 40 b) 44.4 c) 33.3 d) 22.2

a) 40 b) 44.4 c) 33.3 d) 22.2

Solution: i do not know perfectly but i have
simple logic,1-(1/4)=(3/4),then reverse it so it is 4/3=1.333,1.33-1=33.33 like
this

2. An athlete decides to run the same distance in 1/4th less time that she usually took. By how much percent will she have to increase her average speed?

a) 40 b) 44.4 c) 33.3 d) 22.2

2. An athlete decides to run the same distance in 1/4th less time that she usually took. By how much percent will she have to increase her average speed?

a) 40 b) 44.4 c) 33.3 d) 22.2

**Pattern 55:**1. In a building there are 5 rooms.Each having a equal area .The length of the room is 4m and breadht is 5 m.The height of the rooms are 2m. If 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room?

a) 320 b) 380 c) 340 d) 300

Solution: area of the room is
length*breadth=4*5=20m

^{2}, For one square meter it takes 17 bricks, For 20m^{2 }total no of bricks are 17*20=340,**Pattern 56:**

1. One man want to build a wall .The length and breadth of the wall are 20 and 30 respectively. He need 35 bricks for one square centimeter then how many bricks he need?

a) 21,500 b) 30,000 c) 21,000 d) 20,000

**Pattern 57:**

1. In a hotel we can order two types of varities, but we can make 6 more variteis in home. One can choose the four varities with two from hotel as must. Find how many ways one can order.

a) 14 b) 15 c) 56 d) 28

**Pattern 58:**

1. If a pipe can fill the tank within 6hrs.But due to leak it takes 30 min more. Now the tank is full then how much time will it take to empty the tank throught the leak?

a) 78 b) 56 c) 66 d) 59

**Pattern 59:**

1. The bacteria has the probability of split into 3 and probability to die is 1/3rd of the total bacteria.Let the probability is P.Some of them survived with probability 1/5.Then which among the following relation is true?

a)P=1/3+1/5*3 b)P=1/5*(1/8-3)

2. There is a bacteria which has the probability of die 1/3 of its total number or it may tripled. Find out the probability

A. P=1/3+(2/3*p^3) B. P=2/3+(2/3*p^3) C. P=2/3+(1/3*p^3) D P=2/3+(2/3*p^3)

**Pattern 60:**

1. There was a grand mother in a village who had a grand child.Upon asking her grand childs age she told that she is as older as many days old as her daughters age in weeks and as many days as her own age in years.The sum of the three is 130.then how old is the child.?

**Pattern 61:**

1) In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?

a)18 b)19 c)20 d)21

2) In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering?

**Pattern 62:**

1) Amrith told to Anand in front of a Photo that “He is the son of
my father’s son”.Find who is in the picture if amrith have no brothers and
sisters.

a) Amrith himself b) Amrith’s Uncle c) Amrith’s Father d) Amrith’s son

2) One person has no siblings and says,” the guy in the photo is the only son of my father ‘s son”. What is the relation of the guy to the person?

a) Amrith himself b) Amrith’s Uncle c) Amrith’s Father d) Amrith’s son

2) One person has no siblings and says,” the guy in the photo is the only son of my father ‘s son”. What is the relation of the guy to the person?

**Pattern 63:**1) One grand father has 3 grand children two of the age difference is 3.Eldest child age is 3 times the youngest childs age and the eldest child age is two year more than the sum of other two children. Find what is the age of the elders child?

a) 18 b) 22 c) 30 d) 10.

Solution: there are 3 childs,let the age of younger be x,elder be 3x,so the middle one be m,3x=2+x+m,then we have a-b=3 or b-c=3,or a-c=3, then for answer we have to go via options, substitute that in above equations

2) One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

3) One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

**Pattern 64:**

1) In a school, for a student out of 100 he got 74 of average for
7 subjects and he got 79 marks in the 8th subject. what is the average of all
the subject?

a) 76.251 b) 80.25 c) 74.265 d) 74.625

Solution: Total marks=74*7=518, then
average=(518+79)/8=74.625

**Pattern 65:**
1) 3 persons a,b,c were there A always says truth,B lies on
Monday,tusday,& Wednesday.but C lies on thrusday,Friday & saturday .one
day A said”that B & C said to A that” B said “yesterday way one of the days
when I lies”,C said that”yesterday way one of the days when I lies too”.then
which day was that?

a) Sunday b) Thursday c) Saturday d) Tuesday

**Pattern 66:**
1) Which is the smallest no which divides 2880 and gives a perfect
square?

a) 4 b) 9 c) 3 d) 5

a) 4 b) 9 c) 3 d) 5

Solution: For answer solve via options

**Pattern 67:**
1) How many 9 digit numbers are possible by using the digits
1,2,3,4,5 which are divisible by 4 if the repetition is allowed?

a)57 b)56 c)59 d)58

2) how many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed?

3) By using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is allowed??

4) Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by4?

a)57 b)56 c)59 d)58

2) how many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed?

3) By using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is allowed??

4) Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by4?

5) How many of 14 digit numbers we can make with 1,2,3,4,5 that
are divisible by 4. Repetitions allowed.

**Pattern 68:**

1) Consider two tumblers, the first containing Water and next
contains coffee. Suppose you take one spoon of water out of the first tumbler
and pour it into the second tumbler. After moving you take one spoon of the
mixture from the second tumbler and pour it back into the first tumbler . Which
one of the following statement holds now?

a) There is less coffee in the first tumbler than water in the second tumblers

b) There is more coffee in the firs tumbler than water in the second tumbler

c) There is as much coffee in the first tumbler as there is water in the second tumbler

d)None of the statements holds true

a) There is less coffee in the first tumbler than water in the second tumblers

b) There is more coffee in the firs tumbler than water in the second tumbler

c) There is as much coffee in the first tumbler as there is water in the second tumbler

d)None of the statements holds true

Solution: Think wisely and answer these are asked in my paper 2 or 3 questions

2) Two bowls are taken, one contains water and another contains tea.one spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?

**Pattern 69:**

1) Six friends decide to share a big cake. Since all of them like
the cake, they begin quarreling who gets to first cut and have a piece of the
cake. One friend suggests that they have a blindfold friend choose from well
shuffled set of cards numbered one to six. You check and find that this method
works as it should simulating a fair throw of a die. You check by performing
multiple simultaneous trials of picking the cards blindfold and throwing a die.
You note that the number shown by the method of picking up a card and throwing
a real world die, sums to a number between 2 and 12. Which total would be
likely to appear more often – 8,9 or 10?

a) 8 b) All are equally likely c) 9 d) 10

a) 8 b) All are equally likely c) 9 d) 10

Solution: Calculate how many
times 8,9,10 will come when we throw 2 dice, and answer

**Pattern 70:**
Q1. Given a collection of points P in the plane, a 1-set is a
point in P that can be separated from the rest by a line, .i.e the point lies
on one side of the line while the others lie on the other side.

The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is

a)3 b)5 c) 2 d)1

Ans: 5

For below questions, answers i am not sure whether they are correct or not you have to solve urself

The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is

a)3 b)5 c) 2 d)1

Ans: 5

For below questions, answers i am not sure whether they are correct or not you have to solve urself

Q2. The citizens of planet
nigiet are 8 fingered and have thus developed their decimal system in base
8. A certain street in nigiet contains 1000 (in base 8) buildings numbered
1 to 1000. How many 3s are used in numbering these buildings?

a) 54 b) 64 c) 265 d) 192

Ans: 192

a) 54 b) 64 c) 265 d) 192

Ans: 192

Some times base value is chang like: 9finger, 1 to 100(base 9)

Q3. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is

a)1 b)3 c)4 d)0

Q4. Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?

a) 37.80 b)8 c) 40 d) 5

Ans: 37.80

Q5. Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?

a) 16 b) 6 c) 10 d) 60

Q3. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is

a)1 b)3 c)4 d)0

Q4. Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?

a) 37.80 b)8 c) 40 d) 5

Ans: 37.80

Q5. Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?

a) 16 b) 6 c) 10 d) 60

Solution:(men*time)/work)

Ans: 10

This type of Q's repeated 4times for me but values are different.

Q6. Alok and Bhanu play the following min-max game. Given the expression

N = 9 + X + Y - Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu

would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

a) 0 b) 27 c) 18 d) 20

The Q's concept is same but the equation of N's is changing.

Q7. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.

Ans: 10

This type of Q's repeated 4times for me but values are different.

Q6. Alok and Bhanu play the following min-max game. Given the expression

N = 9 + X + Y - Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu

would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

a) 0 b) 27 c) 18 d) 20

The Q's concept is same but the equation of N's is changing.

Q7. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.

Alice starts and the players
take turns. A turn consists of moving the coin on the top to a position i below
the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies
doing nothing). The proviso is that an i-move cannot be repeated; for example
once a player makes a 2-move, on subsequent turns neither player can make a
2-move. If the gold coin happens to be on top when it's a player's turn then
the player wins the game. Initially, the gold coinis the third coin from the
top. Then

a) In order to win, Alice's first move should be a 1-move.

b) In order to win, Alice's first move should be a 0-move.

c) In order to win, Alice's first move can be a 0-move or a 1-move.

d) Alice has no winning strategy.

Ans: d

Q8. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

a)1/9 b)4/9 c)5/9 d)2/3

Ans: 5/9

Q9. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

a)12 b)11 c)13 d)18

Ans: 18

Q10. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?

a)1/12 b)0 c)12/212 d)11/12

Ans: b

Q11. A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40,

statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered are false.

b)The first 26 statements are false and the rest are true.

c)The first 13 statements are true and the rest are false.

d)The odd numbered statements are true and the even numbered are false.

Ans:c

Q12. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

a)1/2 b)14/19 c)37/38 d)3/4

Ans: 14/19

Q13. A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it

hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?

a) 0.75 b) 1 c) 0.5 d) 0.25

Ans: d

Q14. 9. A and B play a game of dice between them. The dice consist of colors on their faces (instead of numbers). When the dice are thrown, A wins if both show the same color; otherwise B wins. One die has 4 red face and 2 blue faces. How many red and blue faces should the other die have if the both players have the same chances of winning?

a) In order to win, Alice's first move should be a 1-move.

b) In order to win, Alice's first move should be a 0-move.

c) In order to win, Alice's first move can be a 0-move or a 1-move.

d) Alice has no winning strategy.

Ans: d

Q8. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

a)1/9 b)4/9 c)5/9 d)2/3

Ans: 5/9

Q9. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

a)12 b)11 c)13 d)18

Ans: 18

Q10. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?

a)1/12 b)0 c)12/212 d)11/12

Ans: b

Q11. A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40,

statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered are false.

b)The first 26 statements are false and the rest are true.

c)The first 13 statements are true and the rest are false.

d)The odd numbered statements are true and the even numbered are false.

Ans:c

Q12. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

a)1/2 b)14/19 c)37/38 d)3/4

Ans: 14/19

Q13. A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it

hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?

a) 0.75 b) 1 c) 0.5 d) 0.25

Ans: d

Q14. 9. A and B play a game of dice between them. The dice consist of colors on their faces (instead of numbers). When the dice are thrown, A wins if both show the same color; otherwise B wins. One die has 4 red face and 2 blue faces. How many red and blue faces should the other die have if the both players have the same chances of winning?

a) 3 red and 3 blue faces b)
2 red and remaining blue

c) 6 red and 0 blue d) 4 red and remaining blue

Ans: a

Q15. On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula

d = 4 * sqrt (t – 8)for t = 8

Where the represents the diameter in mm and t the number of years since the solar blast.

c) 6 red and 0 blue d) 4 red and remaining blue

Ans: a

Q15. On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula

d = 4 * sqrt (t – 8)for t = 8

Where the represents the diameter in mm and t the number of years since the solar blast.

Jagan recorded the time of some echina at a particular spot is 24
years then what is diameter?

a) 8 b) 16 c) 25 d) 21

Ans: 16

Q16. A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly n of the statements on this sheet are false.' Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered statements are false.

b) The odd numbered statements are true and the even numbered statements are false.

c) All the statements are false.

d) The 39th statement is true and the rest are false.

Ans: d

Q17. Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true?

a) In order to win, Alok should remove O1 on his first turn.

b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.

c) In order to win, Alok should remove O2 on his first turn.

d) Alok has no winning strategy.

Ans: d

Q18. Two pipes A and B fill at A certain rate B is filled at 10, 20, 40, 80. If 1/4 of B if filled in 21 hours what time it will take to get completely filled

Ans: 23

Q19. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m.

Formula is 2xy/(x+y).

Q20. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

Ans: 18

Q21. Ferrari is leading car manufacturer.*Ferrari S.p.A.* is an Italian sports car. It has enjoyed great success. If Mohan's Ferrari is 3 times faster than his old Mercedes wich gave him 35kmph if Mohan travelled 490 km in his ferrari the how much time(hours) he took?

Easy one try it.

Q22. By using 1,2,3,4,5, how many 12 digit no. can be formed which is divisible by 4, repetation of no. is allowed?

Ans: (5)^11

Q23. The cost 1 plum is 1 cent, 2 apples is 1 cent, 3 cashew is 1 cent. If father buys same amount of fruits for his 3 sons spending 7 cent then what amount of fruit each child will get?

Ans: 1plum, 2apples, 1cashew

Q24. There are some 2 wheelers and 4 wheelers parked total number of wheels present is 240 then how many 4 wheelers were there

Ans: For this question answer is deduced from the options.

Q25. One day Alice meets pal and byte in fairyland. She knows that pal lies on Mondays, Tuesdays and Wednesdays and tells the truth on the other days of the week byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Alice – pal. Yesterday was one of those days when I lie byte. Yesterday was one of those days when I lie too. What day is it?

a) Thursday b) Tuesday c) Monday d) Sunday

Ans: a

Interview:Then coming to interview my interview is fine i am from M.Tech, power electronics and drives

a) 8 b) 16 c) 25 d) 21

Ans: 16

Q16. A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly n of the statements on this sheet are false.' Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered statements are false.

b) The odd numbered statements are true and the even numbered statements are false.

c) All the statements are false.

d) The 39th statement is true and the rest are false.

Ans: d

Q17. Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true?

a) In order to win, Alok should remove O1 on his first turn.

b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.

c) In order to win, Alok should remove O2 on his first turn.

d) Alok has no winning strategy.

Ans: d

Q18. Two pipes A and B fill at A certain rate B is filled at 10, 20, 40, 80. If 1/4 of B if filled in 21 hours what time it will take to get completely filled

Ans: 23

Q19. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m.

Formula is 2xy/(x+y).

Q20. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

Ans: 18

Q21. Ferrari is leading car manufacturer.*Ferrari S.p.A.* is an Italian sports car. It has enjoyed great success. If Mohan's Ferrari is 3 times faster than his old Mercedes wich gave him 35kmph if Mohan travelled 490 km in his ferrari the how much time(hours) he took?

Easy one try it.

Q22. By using 1,2,3,4,5, how many 12 digit no. can be formed which is divisible by 4, repetation of no. is allowed?

Ans: (5)^11

Q23. The cost 1 plum is 1 cent, 2 apples is 1 cent, 3 cashew is 1 cent. If father buys same amount of fruits for his 3 sons spending 7 cent then what amount of fruit each child will get?

Ans: 1plum, 2apples, 1cashew

Q24. There are some 2 wheelers and 4 wheelers parked total number of wheels present is 240 then how many 4 wheelers were there

Ans: For this question answer is deduced from the options.

Q25. One day Alice meets pal and byte in fairyland. She knows that pal lies on Mondays, Tuesdays and Wednesdays and tells the truth on the other days of the week byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Alice – pal. Yesterday was one of those days when I lie byte. Yesterday was one of those days when I lie too. What day is it?

a) Thursday b) Tuesday c) Monday d) Sunday

Ans: a

Interview:Then coming to interview my interview is fine i am from M.Tech, power electronics and drives

In my college for non IT
branches separate technical panel came.For M.tech power electronics and drives
and power systems one technical guy came and interviewd us. But he took around
45 min or more for each person. For me my interview gone for around 45 min.
Mainly they asked questions on electrical only not on C, C++, Java

Mainly i told to him about my
project both B.Tech and M.Tech answer some HR questions like tell me about
yourself, why you came to software, tell me about TCS, why you had taken power
electronics, if i reject you what will you do, can you relocate your self, some
applications of our branch ie power electronics and some day to day
applications in it and some basic electrical questions like kirchoffs laws,
ohms law, motor principle, generator principle, why transformer is used. What
are the recent trends in power electronics

Thats it

All the best and see you
in TCS.

Contributor name: Ayenampudi Murali Krishna

Company Name: TCS

Status: Selected

Venue: SRM University,Chennai

Placement Date: 26/11/2010.

Hi Friends first of all thanks for
Freshersworld.com, placementpaper.net, my classmates and Karthikeyan supporting
me in getting placed in TCS.

Selection process:

1) Written test

2) Technical cum HR interview.

**Written Test:**

Written test consists of 35 questions 80 mins, previously it is 60 mins but now time they increased 20 mins. It is a online test.

Preparation: Up to my knowledge questions for written test is always from previous papers.so first of all solve below patterns mostly all these patterns and 19 November 2010, RVRJC College of Engineering, Guntur paper which is posted in freshersworld are repeated in written test and try previous papers given by various users in freshersworld.com and prepare quantitative aptitude by R.S Aggarwal.

**Pattern 1:**

1. (1/2) of a number is 3 more than the (1/6) of the same number?

a) 6 b)7 c)8 d)9

Solution:

Let the number be x,

((1/2)*x)=3+(1/6)*x,

Then solve x

2.
(1/3) of a number is 3 more than the (1/6) of the same number?

a) 6 b)16 c)18 d)21

a) 6 b)16 c)18 d)21

3.
(1/3) of a number is 6 more than the (1/6) of the same number?

a) 6 b)18 c)36 d)24

a) 6 b)18 c)36 d)24

4.
(2/3) of a number is 4 more than the (1/6) of the same number?

a) 6 b)8 c)36 d)24

a) 6 b)8 c)36 d)24

5.
(1/3) of a number is 5 more than the (1/6) of the same number?

a) 6 b)36 c)30 d)72

a) 6 b)36 c)30 d)72

**Pattern 2:**

1. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?

a) 26 B)25 c)5 d)27

Solution: for every hour water in tank in B is
doubled,

Let the duration to fill the tank B is x
hours.

x/32 part of water in tank of B is filled in
21 hours,

Next hour it is doubled so,

2*(x/32) part i.e (x/16) part is
filled in 22 hours,

Similarly (x/8)th part in 23 hours,(x/4)th part is filled in 24
hours,

(x/2)th part is filled in 25 hours, (x)th part
is filled in 26 hours

So answer is 26 hours.

2.
There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20
liters in same time. Likewise B can fill 10, 20, 40, 80, 160. If B filled in
1/16 of a tank in 3 hours, how much time will it take to fill the tank
completely?

a) 9 B) 8 c) 7 d) 6

a) 9 B) 8 c) 7 d) 6

3.
There are two water tanks A and B, A is much smaller than B. While water fills
at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40,80,
160…..in tank B. 1/8 th of the tank B is filled in 22 hours. What is the time
to fill the tank fully?

a) 26 B) 25 c) 5 d) 27

a) 26 B) 25 c) 5 d) 27

4.
A tank is filled with water. In first hour 10 liters, second hours 20 liters,
and third hour 40 liters and so on. If time taken to fill ¼ of the tank if 5
hours. What is the time taken to fill up the tank?

a) 5 B) 8 c) 7 d) 12.5

a) 5 B) 8 c) 7 d) 12.5

5.
If a tank A can be filled within 10 hours and tank B can be filled ¼ in 19
hours then, what is the time taken to fill up the tank completely?

a) 21 B) 38 c) 57 d) 76

a) 21 B) 38 c) 57 d) 76

**Pattern 3:**

1. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person?

a) 43 b) 69 c) 52 d) 31

Solution:

Total age of 6 persons is x hours,after two
years total age of 6 persons is x+12

Average age of 6 persons is after two years is
43

So (x+12)/6=43,then solve x,

After 7

^{th}person is added then (x+7^{th}person age)/7=45
So we will get 7

^{th}person age easily2. In a market 4 men are standing. The average age of the four before 4years is 45, after some days one man is added and his age is 49. What is the average age of all?

a) 43 b) 45 c) 47 d) 49

3. In a shopping mall with a staff of 5 members the average age is 45 years. After 5 years a person joined them and the average age is again 45 years. What’s the age of 6th person?

a) 25 b)20 c)45 d)30

4. In a market 4 men are standing .The average age of the four before 2 years is 55, after some days one man is added and his age is 45. What is the average age of all?

a) 55 b) 54.5 c) 54.6 d) 54.7

**Pattern 4:**

1. In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?

a) 8 b) none c) 16 d) 15

Solution: 23 reading spots, Each reading spot
consists of 9 chairs placed around it so There are some readers such that in
each occupied reading spot there are different numbers of readers.

For each table different no of persons are sat,so
for first table 1 person is sit,2

^{nd}table 2 persons are sit 36
readers means(1+2+3+4+5+6+7+8 so 8 tables are filled so 23-8=15
reading spots does not have single reader.

2. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many tables will be left out without at least 1 person?

a) 8 b) 6 c) 2 d) 7

3. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank?

a) 8 b) 6 c) 2 d) 7

1. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?

a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mph

2. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many tables will be left out without at least 1 person?

a) 8 b) 6 c) 2 d) 7

3. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank?

a) 8 b) 6 c) 2 d) 7

**Pattern 5:**1. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?

a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mph

Solution: Average speed=(2*x*y)/(x+y)

2.
A man travels from A to B at 4 mph over a certain journey and returns over the
same route to A, at 5 mph. What is his average speed for the journey?

a) 4.44 mph b) 4.8 mph c) 4.887 mph d)5 mph

a) 4.44 mph b) 4.8 mph c) 4.887 mph d)5 mph

3.
A person is rock climbing at an altitude of 800 m. He go up by 7 mph. and come
down by 9 mph. what was his average speed?

a) 7.875 mph b) 7.125 mph c) 7mph d) 7.5 mph

a) 7.875 mph b) 7.125 mph c) 7mph d) 7.5 mph

4.
Find average speed if a man travels at speed of 24kmph up and 36kmph down at an
altitude of 200m?

a) 28.8 mph b) 27.8 mph c) 27.5mph d) 30 mph

a) 28.8 mph b) 27.8 mph c) 27.5mph d) 30 mph

5.
Person travels to a hill, if he goes from A to B with speed of 4kmph and
returns back to B with speed of 5kmph. What is his average speed of journey?

a) 4.5kmph b) 4.44kmph c) 9kmph d) 4.245kmph

a) 4.5kmph b) 4.44kmph c) 9kmph d) 4.245kmph

6. A man travels from A to B at 70 mph over a
certain journey and returns over the same route to A, at 80 mph. What is his
average speed for the journey?

a) 74.66 b)75 c)74.33 d)74.99

a) 74.66 b)75 c)74.33 d)74.99

7. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m.

a) 28.8 b)28 c)27 d)28.6

**Pattern 6:**

1. Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?

a) 114 b) 135 c) 21 d) 71

Solution: I do not know perfectly but I got
some solutions from internet I do not know correctly whether it is tru e or
not,((3*9*5))-((3-2)*(9-2)*(5-2)) so answer is 114.

2. A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?

a) 2000 b) 5000 c) 3000 d) 7000

3. Smita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube looking of the same shape?

a) 98 b) 104 c) 100 d) 61

4. Leena cut small cubes of 10 cm dimension each. She joined it to make a cuboid of length 100 cm, width 50 cm and depth 50 cm. How many more cubes does she need to make a perfect cube?

a) 500 b) 250 c) 750 d) 650

5. Leena cut small cubes of 3 cubic cm each. She joined it to make a cuboid of length 10 cm, width 3 cm and depth 3 cm. How many more cubes does she need to make a perfect cube?

a) 910 b) 250 c) 750 d) 650

6. A lady builds 9cm length, 10cm width,3cm height box using 1 cubic cm cubes. What is the minimum number of cubes required to build the box?

a) 730 b) 270 c) 720 d) 310

**Pattern 8:**

1. (40*40*40 – 31*31*31)/(40*40+40*31+31*31)=?

a)8 b)9 c)71 d)51

Solution:a

^{3 }-b^{3}=(a-b)*(a^{2}+a*b+b^{2}) so from this formula we will find (a-b) value2. (98*98*98 – 73*73*73)/( 98*98*98 – 73*73*73)=?

a).171 b).4 c).420 d).415

3. (209*144)^2 + (209*209)+(209*144)+(144*144) = ?

a)905863729 b)905368729 c)905729368 d)65

**Pattern 9:**

1. ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2

a)8 b)none c)16 d)15

Solution: substitute x=4y in above we can find solution

2.
x/2y = 2a,then 2x/x-2ay=?

a)4 b)8 c)16 d)2

a)4 b)8 c)16 d)2

3.
3X/5Y = 5Y/3X…..Find the value of X/Y

a)3/5 b)5/3 c)2/5 d)5/2

a)3/5 b)5/3 c)2/5 d)5/2

4.
What is the value of (3X+8Y)/(X-2Y), if X/2Y=2

a)8 b)none c)10 d)13

a)8 b)none c)10 d)13

5.
(4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2

a)48/5 b)46/5 c)47/5 d)49/5

a)48/5 b)46/5 c)47/5 d)49/5

6. ((4x+2y)/(4x-2y)= ? as (x/2y) = 2

a)8/7 b)9/7 c)11/7 d)6/7

a)8/7 b)9/7 c)11/7 d)6/7

**Pattern 10:**1. A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings?

a) 16 b) 56 c) 112 d) 28

Solution: 8c2

2.
A pizza shop made pizzas with many flavors. There are 10 different flavors, in that
7 flavors are taken to make pizza. In how many ways they can arrange?

a) 240 b) 120 c) 65 d) 210

a) 240 b) 120 c) 65 d) 210

3. A pizza shop made pizzas with many flavors.
There are 9 different flavors, in that 2 flavors are taken to make pizza. In
how many ways they can arrange?

a) 16 b) 26 c) 36 d) 46

a) 16 b) 26 c) 36 d) 46

**Pattern 11:**1. 3, 22, 7, 45, 15,? , 31

a) 91 b)151 c) 90 d) 5

2.
8 6 17 14 35 31 75 _ 143?

3. Inspired by Fibonacci series Sangeet decided to create his own series which is 1, 2, 3, 7, 7, 22, 15, 67, 31, _, 63?

a) 202 b) 31 c) 76 d) 49

3. Inspired by Fibonacci series Sangeet decided to create his own series which is 1, 2, 3, 7, 7, 22, 15, 67, 31, _, 63?

a) 202 b) 31 c) 76 d) 49

4.
3, 12, 7, 26, 15, ?

a) 54 b) 27 c) 108 d) 31

a) 54 b) 27 c) 108 d) 31

5.
1! + 2! + ……. + 50!=?

a)3.1035*10^64 b)2.1021*10^65 c)3.1035*10^63 d)3.1035*10^62

a)3.1035*10^64 b)2.1021*10^65 c)3.1035*10^63 d)3.1035*10^62

6.
1, 2, 3, 6, 7, 14, _, 32?

7.
5, 9, 12, 18, 26, 36, 47, 72, _?

a) 75 b) 135 c) 100 d) 55

a) 75 b) 135 c) 100 d) 55

8. 3, 15, x, 51, 53,159,161

a) 17 b) 34 c) 54 d) 112

a) 17 b) 34 c) 54 d) 112

**Pattern 12:**1. Simple question but big one on average age.sth like a, b, c weighted separately 1st a, b, c ,then a& b, then b & c ,then c & a at last abc, the last weight was 167,then what will be the average weight of the 7 reading?

a) 95 b) 95.428 c) 95.45 d) 94

Solution: Last weight abc is 167i.e three persons weight is 167 .in first 6 combinations a,b,c,ab,bc,ac i.e a checked weight for 3 times totally like that band c also so total weight in all 7 combinations is (4*167)

Average is (668/7)=95.42

**Pattern 13:**1. A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type?

a) 1 in 16 B) 1 in 4 c) 1 in 8 d) 1 in 32

Solution: Initially it produces 10 sounds and
the defect came and now it produces only 2 different sounds and consecutively so
there are totally 2 sounds and we have to select on sound and the probability
is ½ and it produces the same sound concecutively for 2 times so the
probability becomes ½*1/2 ie ¼

2. A car manufacturer produces only red and blue models which come out of the final testing area at random. What are the odds that five consecutive cars of same color will come through the test area at any one time?

a) 1 in 16 b) 1 in 125 c) 1 in 32 d) 1 in 25

**Pattern 15:**

1. A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?

a) 280.5625 b) 240.5625 c) 280.125 d) 240

Solution:add all sides 25+11+31 to get rope
length rope length =67,rope is made in to as square

So side of square is 67/4=16.75 and so area is
16.75*16.75=280.5625

2. A triangle is made from a rope. The sides of the triangle are 21 cm, 24 cm and 28 cm. What will be the area of the square made from the same rope?

a) 280.5625 b) 333.0625 c) 333.0125 d) 400

**Pattern 16:**

1. What is the distance between the z-intercept from the x-intercept in the equation ax+by+cz+d=0

Solution:intercept form equation

2. What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).

**Pattern 17:**

1. A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he travelled 1mile in north direction & reached at North Pole. There he saw a bear. He then followed the bear around 1 hr with a speed of 2km/hr in east direction. After that he travelled in south direction & reached at his lab in2 hrs. Then what is the color of the bear?

a) White b) Black c) Gray d) Brown

Solution is: White. above all the matter is
nonsense

**Pattern 18:**1. Out of 7 children the youngest is boy then find the probability that all the remaining children are boys

a)1/64 b)1/32 c)1/128 d)1/256

**Pattern 19:**

1. Usha bought a linen cloth and rope to build a tent. If the rope is 153 m long and it is to be cut into pieces of 1m length, then how many cuts are to be made to cut the ropes into 153 pieces?

a)153 b)152 c)154 d)155

Solution:to make it 153 pieces we have to cut 152 times so
obviously after last cut we got 153

^{rd}piece
2.
A person has to make 146 pieces of a long bar. He takes 4 seconds to cut a
piece. What is the total time taken by him in seconds to make 146 pieces?

a) 584 b) 580 c) 730 d) 725

a) 584 b) 580 c) 730 d) 725

Solution:
146 pieces means 145 cuts so for each cut it takes 4 seconds means total time
145*4=580

3.
A person has to make 141 pieces of a long bar. He takes 2 seconds to cut a
piece. What is the total time taken by him in seconds to make 141 pieces?

a) 560 b) 280 c) 112 d) 324

a) 560 b) 280 c) 112 d) 324

**Pattern 20:**

1. Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up. The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month?

a) $27 b) $18 c) $45 d) $486

Solution: See last 3 lines only answer is 45-27=18

**Pattern 21:**

1. A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?

Solution: here we cannot consider depreciation or decay of item accto answer so go acc to answer

Totally 5+10=15$profit

**Pattern 22:**

1. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?

a)loss 23 b)gain 23 c)gain 54 d)Loss 54

Solution: Loss= Change of money given to
john(4$)+actual cycle cost 19$=23$ loss

**Pattern 23:**1. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

a) 50 b) 8 c) 60 d) 42

Solution: I am not able to answer this if i go in procedure
way so search in net by searching question. Better see below website

My answered questions may be answered there.

2. A lady has fine gloves and hats in her
closet- 14 blue, 20 red, and 18 yellow. The lights are out and it is totally
dark. In spite of the darkness, she can make out the difference between a hat
and a glove. She takes out an item out of the closet only if she is sure that
if it is a glove. How many gloves must she take out to make sure she has a pair
of each color?

3. A lady has fine gloves and hats in her closet- 13 blue, 27 red, and 40 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

4. A lady has fine gloves and hats in her closet- 25 blue, 7 red, and 9 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

5. A lady has fine gloves and hats in her closet- 26 blue, 30 red, and 56 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

3. A lady has fine gloves and hats in her closet- 13 blue, 27 red, and 40 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

4. A lady has fine gloves and hats in her closet- 25 blue, 7 red, and 9 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

5. A lady has fine gloves and hats in her closet- 26 blue, 30 red, and 56 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

**Pattern 24:**1. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option?

a)1/2 b)1/6 c)1/12 d)6/10

Solution is ½.

2. There is a die with 10 faces. It is not known that fair or not.
2 captains want to toss die for batting selection. What is the possible
solution among the following?

a) If no. is odd it is head, if no. is even it is tail

b) If no. is odd it is tail, if no. is even it is head

c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.

a) If no. is odd it is head, if no. is even it is tail

b) If no. is odd it is tail, if no. is even it is head

c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.

**Pattern 25:**
1. In a family there are some boys and girls. All boys told that
they are having equal no of brothers and sisters and girls told that they are
having twice the no. of brothers than sisters. How many boys and girls present
in a family?

a) 4 boys and 3 girls b) 3 boys and 4 girls c) 2 boys and 5 girls d) 5 boys and 2 girls

1. 10 men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?

a) 22 b) 20 c) 10 d) none

a) 4 boys and 3 girls b) 3 boys and 4 girls c) 2 boys and 5 girls d) 5 boys and 2 girls

**Pattern 26:**1. 10 men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?

a) 22 b) 20 c) 10 d) none

2. There are 100 men and 100 women on the dance floor. They want to dance with each other. Then which of the following statements is always true:

a) There are 2 men who danced with equal no. of women’s

b) There are 2 women who danced with equal no. of men

a) both a and b b)only a c)only b d)none

**Pattern 27:**

1. Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played?

a) 257 b) 256 c) 72 d) 255

Solution: Do not know perfect logic 2

^{8}2. A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round?

a) 256 b) 512 c) 64 d) 128

**Pattern 28:**

1. Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?

2. A, B, C, D, E are there among A, B, C are boys and D, E are girls D is to the left of A and no girl sits at the middle and at the extemes. Then what is the order of their sittings.

**Pattern 29:**

1. There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?

a) 6 b) 21 c) 28 d) 7

Solution: For handshakes type question i am confirming you that if the there are n members are there

Handshakes are given in linear
manner =n-1(last person cannot give hand shake to first person)

Handshakes are given in cyclic
manner =n(last person can give hand shake to first person)

But i do not know perfectly for
repetition it is nc2

2. 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?

a) 122 b) 66 c) 48 d)1 28

**Pattern 30:**

1. B is taller than j and 3 pillars. P is shorter than B and 2 pillars is j shorter/taller than P?

a) yes b) no c) may be d) can’t find

2. There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?

a) Linda is shorter among them

b) Chelsea is taller than Julia

c) Chelsea is shorter than Julia

d) Cannot determine who is taller among Chelsea and Julia

**Pattern 31:**

1. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?

a) 4 b) 5 c) 6 d) 7

Solution:
in btech we studied 8 4 2 1 code for binary system in digital logic proceed in
that way for answer it is 16 8 4 2 1 if u add all we will get 31 so 5 coins
required

**Pattern 32:**

1. Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?

a) 8 b) 20 c) 16 d) 15

**Pattern 33:**

1. 20 men handshake with each other without repetition. What is the total number of handshakes made?

a) 190 b) 210 c) 150 d) 250

2. 10 people are there, they are shaking hands together, how many hand shakes possible, if they are in no pair of cyclic sequence.

a) 45 b) 9 c) 12 d) 10

**Pattern 34:**

1. If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 20 two wheelers parked there

a) 48 b) 50 c) 52 d) 64

Solution: Proceed with answer is best in question they will give total no of wheels

2. If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 58 wheels are parked there

a)10 b) 33 c) 22 d) none

**Pattern 35:**

1. A man whose age is 45 yrs has 3 sons named John, Jill, jack. He went to a park weekly twice. He loves his sons very much. On a certain day he found the shop keepers selling different things. An apple cost 1penny, 2chocalate costs 1penny & 3 bananas cost 1 penny. He has bought equal number of apple, chocolate & banana for each son. If the total amount he invest is 7 penny then how many he has bought from each piece for his son?

a) 1app, 1cho, 1 banana b)1 app, 2cho,3 banana c)1app, 2cho, 1banana

2. One person had three children. He had 7 pennies. Find the distribution of the fruits among the three children. A melon costs 1 penny, 2 oranges cost 1 penny and 3 grapes cost 1 penny

a)2 melons, 1 orange, 1 grape b) 2 melons, 2 orange, 1 grape c) 1 melons, 2 orange, 1 grape.

**Pattern 36:**

1) The age of the two friends were in the ration of 6:5. If the sum of their ages is 55. Then after how many years their ratio will become 8:7?

a) 11 b) 7 c) 10 d) 12

Solution: 6x+5x=55, so x=5, put first ratio
after substitution is (6*5)/(5*5) and second ratio is 40/35 So difference in
numerators 40-30=10 years

2)The age of the two friends were in the ration of 6:5. If the sum of their ages is 66. Then after how many years their ratio will become 7:6?

a) 11 b) 6 c) 10 d) 12

3) The age of the two friends were in the ration of 2:3. If the sum of their ages is 55. Then after how many years their ratio will become 4:5?

a) 11 b) 33 c) 22 d) 44

2)The age of the two friends were in the ration of 6:5. If the sum of their ages is 66. Then after how many years their ratio will become 7:6?

a) 11 b) 6 c) 10 d) 12

3) The age of the two friends were in the ration of 2:3. If the sum of their ages is 55. Then after how many years their ratio will become 4:5?

a) 11 b) 33 c) 22 d) 44

**Pattern 37:**1) A volume of 10936 l water is in a container of sphere. How many semisphere of volume 4l each will be required to tranfer all the water into the small semispheres?

a) 2812 b) 8231 c) 2734 d) 4222

**Pattern 38:**

1) A person ismanufacturing a house. He bought 20 ropes of wire which has a density of 300 Kg/m3. The height of the building to be constructed is 40 m. If the capacity of the current passed in the wire is 20 A and the voltage capacity is 80 Volts. Then what will be the opposing force to the current if the wire is used?

a) 2 b) 4 c) 8 d) 1600

Solution: ohms law V=IR, Opposing force of current is resistance,
R=v/i

1) A horse chases a pony 2 hours after the pony runs.Horse takes 3 hours to reach the pony.If the average speed of the horse is 81Kmph.Then what is the average speed of the pony?

a) 46.4 b) 51 c) 53.4 d) 48.6

**Pattern 39:**1) A horse chases a pony 2 hours after the pony runs.Horse takes 3 hours to reach the pony.If the average speed of the horse is 81Kmph.Then what is the average speed of the pony?

a) 46.4 b) 51 c) 53.4 d) 48.6

Solution: Horse takes 3 hours to cover the distance

Pony takes 3+2 =5 hours to cover the same distance,
Velocity=distance/time, distance travelled by them is equal it is 81*3=243km,
speed of pony=243/5=48.6

3) A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what is the average speed of the pony

3) A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what is the average speed of the pony

**Pattern 40:**

1)The difference between two no is 9 and the product of the two is 14.What is the square of their sum?

a) 120 b) 130 c) 137 d) 145

Solution: a-b=9, ab=14, (a-b)

^{2}=a

^{2}+b

^{2}-2*a*b

2) The sum of two no is 5 and the product of the two is 14.What is the sum of their squares?

3) The sum of the squares of two no is 12 and their sum is 15.Find the product of the two no?

**Pattern 41:**

1) On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?

a) 17 b) 21.25 c) 12.25 d) 14.05

Solution: radius =7mm, then diameter 2*radius,
substitude diameter the in above equation you will get answer

**Pattern 42:**1) A man goes 50Km north , then turned left walked 40Km, then turned right ? In which direction he is?

a) North b) South c) East d) West

**Pattern 43:**

1) In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?

a) 18 b) 19 c) 20 d) 21.

Solution: You have to count and answer but be prepare with answer

2) In T.Nagar the building were numbered from 1 to 100. Then how many 6’s will be present in the numbers?

a) 18 b) 19 c) 20 d) 21

3) In T.Nagar the building were numbered from 1 to 100. Then how many 1’s will be present in the numbers?

a) 18 b) 19 c) 20 d) 21

4) In T.Nagar the building were numbered from 1 to 100.Then how many 0’s will be present in the numbers?

a) 18 b) 19 c) 20 d) 11

**Pattern 44:**

1) A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21. What is the remainder left, when twice the number is divided by 3D?

a) 13 b) cannot be determined c) 3 d) 42

**Pattern 45:**

1) Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.

a) 20.72 b) 3.5 c) 238.25 d) 6.18

Solution: Speed of Ferrari =4*35=140,time=distance/velocity,

2)
Ferrari S.P.A is an Italian sports car manufacturer based in Marane llo, Italy.
Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored
drivers and manufactured race cars before moving into production of
street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the
company has been noted for its continued participation in racing, especially in
Formula One where it has employed great success .Rohit once bought a Ferrari.
It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's
Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953 km, find
the total time taken for Rohit to drive that distance.

a) 20.72 b) 5.18 c) 238.25 d) 6.18

a) 20.72 b) 5.18 c) 238.25 d) 6.18

**Pattern 46:**

1) A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ‘Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered are false.

b) The odd numbered statements are true and the even numbered are false.

c) The first 35 statements are true and the last 35 are false.

d) The first 35 statements are false and the last 35 are false.

**Pattern 47:**

1) A man goes north 37km.turns left goes 2km.turns right goes 17km.turns right goes 2km. find distance b/w starting ending point.

a) 54 b) 27 c) 81 d) 67

**Pattern 48:**

1) If there are 30 cans out of them one is poisoned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisoned can?

a) 3 b) 2 c) 6 d) 1

**Pattern 49:**

1) If a and b are mixed in 3:5 ration and b and c are mixed in 8:5 ration if the final mixture is 35 liters, find the amount of b?

A) 13.34 b) 15.73 c) 16.73 d) 9.45

Solution: Solve for a:b:c,then b ratio is b/(a+b+c)*35

**Pattern 50:**

1) If we subtract a number with y, we get 4 increase of number, once it got divided by y itself... Find that number??

A) 13 b) 12 c) 14 d) 11

**Pattern 51:**

1) It is the class with the seating arrangement in 4 rows and 8 columns. When the teacher says 'start' the girl who is sitting in first row and first column will say 1, then the next girl sitting behind her will say 4, the next girl sitting behind that girl will say 7, in a particular order each girl is telling a number, the following girls told 10, 13 next turn is yours what u will say?

a) 15 b) 17 c) 14 d) 16

Solution: It is a series 1, 4, 7, 10, 13.

**Pattern 52:**

1) It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color?

a) 2 b) 3 c) 48 d) 25

2) Lady has 2 select gloves & hat from a basket. In the dark, she can distinguish hat & gloves. 14 red, 20 blue, 18 green are there. Find probability that any selected glove pair has same color.

3) A lady had fine gloves and hats. 25 blue, 7 red and 9 gey. She
had to select a pair among them. But there was no light so she had to select in
darkness the correct pair with a glove and a hat. Therefore how many
combinations of same color she can select?

**Pattern 53:**

1) If the Valentine’s Day in 2005 falls on Monday, then on which
day will the Valentine’s Day fall on 2010?

A) Saturday b) Thursday c) Wednesday d) Sunday

A) Saturday b) Thursday c) Wednesday d) Sunday

**Pattern 54:**

1. A person run from A to B.He took ¼ of the time less to reach B
when compare to run at normal Speed.Then how many percentage he has increased
his speed?

a) 40 b) 44.4 c) 33.3 d) 22.2

a) 40 b) 44.4 c) 33.3 d) 22.2

Solution: i do not know perfectly but i have
simple logic,1-(1/4)=(3/4),then reverse it so it is 4/3=1.333,1.33-1=33.33 like
this

2. An athlete decides to run the same distance in 1/4th less time that she usually took. By how much percent will she have to increase her average speed?

a) 40 b) 44.4 c) 33.3 d) 22.2

2. An athlete decides to run the same distance in 1/4th less time that she usually took. By how much percent will she have to increase her average speed?

a) 40 b) 44.4 c) 33.3 d) 22.2

**Pattern 55:**1. In a building there are 5 rooms.Each having a equal area .The length of the room is 4m and breadht is 5 m.The height of the rooms are 2m. If 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room?

a) 320 b) 380 c) 340 d) 300

Solution: area of the room is
length*breadth=4*5=20m

^{2}, For one square meter it takes 17 bricks, For 20m^{2 }total no of bricks are 17*20=340,**Pattern 56:**

1. One man want to build a wall .The length and breadth of the wall are 20 and 30 respectively. He need 35 bricks for one square centimeter then how many bricks he need?

a) 21,500 b) 30,000 c) 21,000 d) 20,000

**Pattern 57:**

1. In a hotel we can order two types of varities, but we can make 6 more variteis in home. One can choose the four varities with two from hotel as must. Find how many ways one can order.

a) 14 b) 15 c) 56 d) 28

**Pattern 58:**

1. If a pipe can fill the tank within 6hrs.But due to leak it takes 30 min more. Now the tank is full then how much time will it take to empty the tank throught the leak?

a) 78 b) 56 c) 66 d) 59

**Pattern 59:**

1. The bacteria has the probability of split into 3 and probability to die is 1/3rd of the total bacteria.Let the probability is P.Some of them survived with probability 1/5.Then which among the following relation is true?

a)P=1/3+1/5*3 b)P=1/5*(1/8-3)

2. There is a bacteria which has the probability of die 1/3 of its total number or it may tripled. Find out the probability

A. P=1/3+(2/3*p^3) B. P=2/3+(2/3*p^3) C. P=2/3+(1/3*p^3) D P=2/3+(2/3*p^3)

**Pattern 60:**

1. There was a grand mother in a village who had a grand child.Upon asking her grand childs age she told that she is as older as many days old as her daughters age in weeks and as many days as her own age in years.The sum of the three is 130.then how old is the child.?

**Pattern 61:**

1) In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?

a)18 b)19 c)20 d)21

2) In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering?

**Pattern 62:**

1) Amrith told to Anand in front of a Photo that “He is the son of
my father’s son”.Find who is in the picture if amrith have no brothers and
sisters.

a) Amrith himself b) Amrith’s Uncle c) Amrith’s Father d) Amrith’s son

2) One person has no siblings and says,” the guy in the photo is the only son of my father ‘s son”. What is the relation of the guy to the person?

a) Amrith himself b) Amrith’s Uncle c) Amrith’s Father d) Amrith’s son

2) One person has no siblings and says,” the guy in the photo is the only son of my father ‘s son”. What is the relation of the guy to the person?

**Pattern 63:**1) One grand father has 3 grand children two of the age difference is 3.Eldest child age is 3 times the youngest childs age and the eldest child age is two year more than the sum of other two children. Find what is the age of the elders child?

a) 18 b) 22 c) 30 d) 10.

Solution: there are 3 childs,let the age of younger be x,elder be 3x,so the middle one be m,3x=2+x+m,then we have a-b=3 or b-c=3,or a-c=3, then for answer we have to go via options, substitute that in above equations

2) One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

3) One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

**Pattern 64:**

1) In a school, for a student out of 100 he got 74 of average for
7 subjects and he got 79 marks in the 8th subject. what is the average of all
the subject?

a) 76.251 b) 80.25 c) 74.265 d) 74.625

Solution: Total marks=74*7=518, then
average=(518+79)/8=74.625

**Pattern 65:**
1) 3 persons a,b,c were there A always says truth,B lies on
Monday,tusday,& Wednesday.but C lies on thrusday,Friday & saturday .one
day A said”that B & C said to A that” B said “yesterday way one of the days
when I lies”,C said that”yesterday way one of the days when I lies too”.then
which day was that?

a) Sunday b) Thursday c) Saturday d) Tuesday

**Pattern 66:**
1) Which is the smallest no which divides 2880 and gives a perfect
square?

a) 4 b) 9 c) 3 d) 5

a) 4 b) 9 c) 3 d) 5

Solution: For answer solve via options

**Pattern 67:**
1) How many 9 digit numbers are possible by using the digits
1,2,3,4,5 which are divisible by 4 if the repetition is allowed?

a)57 b)56 c)59 d)58

2) how many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed?

3) By using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is allowed??

4) Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by4?

a)57 b)56 c)59 d)58

2) how many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed?

3) By using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is allowed??

4) Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by4?

5) How many of 14 digit numbers we can make with 1,2,3,4,5 that
are divisible by 4. Repetitions allowed.

**Pattern 68:**

1) Consider two tumblers, the first containing Water and next
contains coffee. Suppose you take one spoon of water out of the first tumbler
and pour it into the second tumbler. After moving you take one spoon of the
mixture from the second tumbler and pour it back into the first tumbler . Which
one of the following statement holds now?

a) There is less coffee in the first tumbler than water in the second tumblers

b) There is more coffee in the firs tumbler than water in the second tumbler

c) There is as much coffee in the first tumbler as there is water in the second tumbler

d)None of the statements holds true

a) There is less coffee in the first tumbler than water in the second tumblers

b) There is more coffee in the firs tumbler than water in the second tumbler

c) There is as much coffee in the first tumbler as there is water in the second tumbler

d)None of the statements holds true

Solution: Think wisely and answer these are asked in my paper 2 or 3 questions

2) Two bowls are taken, one contains water and another contains tea.one spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?

**Pattern 69:**

1) Six friends decide to share a big cake. Since all of them like
the cake, they begin quarreling who gets to first cut and have a piece of the
cake. One friend suggests that they have a blindfold friend choose from well
shuffled set of cards numbered one to six. You check and find that this method
works as it should simulating a fair throw of a die. You check by performing
multiple simultaneous trials of picking the cards blindfold and throwing a die.
You note that the number shown by the method of picking up a card and throwing
a real world die, sums to a number between 2 and 12. Which total would be
likely to appear more often – 8,9 or 10?

a) 8 b) All are equally likely c) 9 d) 10

a) 8 b) All are equally likely c) 9 d) 10

Solution: Calculate how many
times 8,9,10 will come when we throw 2 dice, and answer

**Pattern 70:**
Q1. Given a collection of points P in the plane, a 1-set is a
point in P that can be separated from the rest by a line, .i.e the point lies
on one side of the line while the others lie on the other side.

The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is

a)3 b)5 c) 2 d)1

Ans: 5

For below questions, answers i am not sure whether they are correct or not you have to solve urself

The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is

a)3 b)5 c) 2 d)1

Ans: 5

For below questions, answers i am not sure whether they are correct or not you have to solve urself

Q2. The citizens of planet
nigiet are 8 fingered and have thus developed their decimal system in base
8. A certain street in nigiet contains 1000 (in base 8) buildings numbered
1 to 1000. How many 3s are used in numbering these buildings?

a) 54 b) 64 c) 265 d) 192

Ans: 192

a) 54 b) 64 c) 265 d) 192

Ans: 192

Some times base value is chang like: 9finger, 1 to 100(base 9)

Q3. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is

a)1 b)3 c)4 d)0

Q4. Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?

a) 37.80 b)8 c) 40 d) 5

Ans: 37.80

Q5. Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?

a) 16 b) 6 c) 10 d) 60

Q3. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is

a)1 b)3 c)4 d)0

Q4. Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?

a) 37.80 b)8 c) 40 d) 5

Ans: 37.80

Q5. Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?

a) 16 b) 6 c) 10 d) 60

Solution:(men*time)/work)

Ans: 10

This type of Q's repeated 4times for me but values are different.

Q6. Alok and Bhanu play the following min-max game. Given the expression

N = 9 + X + Y - Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu

would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

a) 0 b) 27 c) 18 d) 20

The Q's concept is same but the equation of N's is changing.

Q7. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.

Ans: 10

This type of Q's repeated 4times for me but values are different.

Q6. Alok and Bhanu play the following min-max game. Given the expression

N = 9 + X + Y - Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu

would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

a) 0 b) 27 c) 18 d) 20

The Q's concept is same but the equation of N's is changing.

Q7. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.

Alice starts and the players
take turns. A turn consists of moving the coin on the top to a position i below
the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies
doing nothing). The proviso is that an i-move cannot be repeated; for example
once a player makes a 2-move, on subsequent turns neither player can make a
2-move. If the gold coin happens to be on top when it's a player's turn then
the player wins the game. Initially, the gold coinis the third coin from the
top. Then

a) In order to win, Alice's first move should be a 1-move.

b) In order to win, Alice's first move should be a 0-move.

c) In order to win, Alice's first move can be a 0-move or a 1-move.

d) Alice has no winning strategy.

Ans: d

Q8. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

a)1/9 b)4/9 c)5/9 d)2/3

Ans: 5/9

Q9. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

a)12 b)11 c)13 d)18

Ans: 18

Q10. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?

a)1/12 b)0 c)12/212 d)11/12

Ans: b

Q11. A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40,

statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered are false.

b)The first 26 statements are false and the rest are true.

c)The first 13 statements are true and the rest are false.

d)The odd numbered statements are true and the even numbered are false.

Ans:c

Q12. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

a)1/2 b)14/19 c)37/38 d)3/4

Ans: 14/19

Q13. A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it

hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?

a) 0.75 b) 1 c) 0.5 d) 0.25

Ans: d

Q14. 9. A and B play a game of dice between them. The dice consist of colors on their faces (instead of numbers). When the dice are thrown, A wins if both show the same color; otherwise B wins. One die has 4 red face and 2 blue faces. How many red and blue faces should the other die have if the both players have the same chances of winning?

a) In order to win, Alice's first move should be a 1-move.

b) In order to win, Alice's first move should be a 0-move.

c) In order to win, Alice's first move can be a 0-move or a 1-move.

d) Alice has no winning strategy.

Ans: d

Q8. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

a)1/9 b)4/9 c)5/9 d)2/3

Ans: 5/9

Q9. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

a)12 b)11 c)13 d)18

Ans: 18

Q10. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?

a)1/12 b)0 c)12/212 d)11/12

Ans: b

Q11. A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40,

statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered are false.

b)The first 26 statements are false and the rest are true.

c)The first 13 statements are true and the rest are false.

d)The odd numbered statements are true and the even numbered are false.

Ans:c

Q12. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

a)1/2 b)14/19 c)37/38 d)3/4

Ans: 14/19

Q13. A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it

hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?

a) 0.75 b) 1 c) 0.5 d) 0.25

Ans: d

Q14. 9. A and B play a game of dice between them. The dice consist of colors on their faces (instead of numbers). When the dice are thrown, A wins if both show the same color; otherwise B wins. One die has 4 red face and 2 blue faces. How many red and blue faces should the other die have if the both players have the same chances of winning?

a) 3 red and 3 blue faces b)
2 red and remaining blue

c) 6 red and 0 blue d) 4 red and remaining blue

Ans: a

Q15. On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula

d = 4 * sqrt (t – 8)for t = 8

Where the represents the diameter in mm and t the number of years since the solar blast.

c) 6 red and 0 blue d) 4 red and remaining blue

Ans: a

Q15. On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula

d = 4 * sqrt (t – 8)for t = 8

Where the represents the diameter in mm and t the number of years since the solar blast.

Jagan recorded the time of some echina at a particular spot is 24
years then what is diameter?

a) 8 b) 16 c) 25 d) 21

Ans: 16

Q16. A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly n of the statements on this sheet are false.' Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered statements are false.

b) The odd numbered statements are true and the even numbered statements are false.

c) All the statements are false.

d) The 39th statement is true and the rest are false.

Ans: d

Q17. Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true?

a) In order to win, Alok should remove O1 on his first turn.

b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.

c) In order to win, Alok should remove O2 on his first turn.

d) Alok has no winning strategy.

Ans: d

Q18. Two pipes A and B fill at A certain rate B is filled at 10, 20, 40, 80. If 1/4 of B if filled in 21 hours what time it will take to get completely filled

Ans: 23

Q19. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m.

Formula is 2xy/(x+y).

Q20. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

Ans: 18

Q21. Ferrari is leading car manufacturer.*Ferrari S.p.A.* is an Italian sports car. It has enjoyed great success. If Mohan's Ferrari is 3 times faster than his old Mercedes wich gave him 35kmph if Mohan travelled 490 km in his ferrari the how much time(hours) he took?

Easy one try it.

Q22. By using 1,2,3,4,5, how many 12 digit no. can be formed which is divisible by 4, repetation of no. is allowed?

Ans: (5)^11

Q23. The cost 1 plum is 1 cent, 2 apples is 1 cent, 3 cashew is 1 cent. If father buys same amount of fruits for his 3 sons spending 7 cent then what amount of fruit each child will get?

Ans: 1plum, 2apples, 1cashew

Q24. There are some 2 wheelers and 4 wheelers parked total number of wheels present is 240 then how many 4 wheelers were there

Ans: For this question answer is deduced from the options.

Q25. One day Alice meets pal and byte in fairyland. She knows that pal lies on Mondays, Tuesdays and Wednesdays and tells the truth on the other days of the week byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Alice – pal. Yesterday was one of those days when I lie byte. Yesterday was one of those days when I lie too. What day is it?

a) Thursday b) Tuesday c) Monday d) Sunday

Ans: a

Interview:Then coming to interview my interview is fine i am from M.Tech, power electronics and drives

a) 8 b) 16 c) 25 d) 21

Ans: 16

Q16. A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly n of the statements on this sheet are false.' Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered statements are false.

b) The odd numbered statements are true and the even numbered statements are false.

c) All the statements are false.

d) The 39th statement is true and the rest are false.

Ans: d

Q17. Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true?

a) In order to win, Alok should remove O1 on his first turn.

b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.

c) In order to win, Alok should remove O2 on his first turn.

d) Alok has no winning strategy.

Ans: d

Q18. Two pipes A and B fill at A certain rate B is filled at 10, 20, 40, 80. If 1/4 of B if filled in 21 hours what time it will take to get completely filled

Ans: 23

Q19. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m.

Formula is 2xy/(x+y).

Q20. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

Ans: 18

Q21. Ferrari is leading car manufacturer.*Ferrari S.p.A.* is an Italian sports car. It has enjoyed great success. If Mohan's Ferrari is 3 times faster than his old Mercedes wich gave him 35kmph if Mohan travelled 490 km in his ferrari the how much time(hours) he took?

Easy one try it.

Q22. By using 1,2,3,4,5, how many 12 digit no. can be formed which is divisible by 4, repetation of no. is allowed?

Ans: (5)^11

Q23. The cost 1 plum is 1 cent, 2 apples is 1 cent, 3 cashew is 1 cent. If father buys same amount of fruits for his 3 sons spending 7 cent then what amount of fruit each child will get?

Ans: 1plum, 2apples, 1cashew

Q24. There are some 2 wheelers and 4 wheelers parked total number of wheels present is 240 then how many 4 wheelers were there

Ans: For this question answer is deduced from the options.

Q25. One day Alice meets pal and byte in fairyland. She knows that pal lies on Mondays, Tuesdays and Wednesdays and tells the truth on the other days of the week byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Alice – pal. Yesterday was one of those days when I lie byte. Yesterday was one of those days when I lie too. What day is it?

a) Thursday b) Tuesday c) Monday d) Sunday

Ans: a

Interview:Then coming to interview my interview is fine i am from M.Tech, power electronics and drives

In my college for non IT
branches separate technical panel came.For M.tech power electronics and drives
and power systems one technical guy came and interviewd us. But he took around
45 min or more for each person. For me my interview gone for around 45 min.
Mainly they asked questions on electrical only not on C, C++, Java

Mainly i told to him about my
project both B.Tech and M.Tech answer some HR questions like tell me about
yourself, why you came to software, tell me about TCS, why you had taken power
electronics, if i reject you what will you do, can you relocate your self, some
applications of our branch ie power electronics and some day to day
applications in it and some basic electrical questions like kirchoffs laws,
ohms law, motor principle, generator principle, why transformer is used. What
are the recent trends in power electronics