VNR VJIET placements prep guide: 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

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)

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

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

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.

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.

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.

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

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

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

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

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

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

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

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

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

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

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

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).

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

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.

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

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

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.

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
_________________________________________________________________________

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

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?

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 ¹²C₂

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)

33) Rearrange and categorize the word ‘RAPETEKA’?
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
_________________________________________________________________________

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

(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

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)

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.

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.

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.

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

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%

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.

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.

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

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

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.

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.

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

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

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

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?

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.

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

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.

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

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

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)

Ans: 4.44(It's not 4.5)
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

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

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

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: ^Nc_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

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

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

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

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

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

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

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

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

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

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

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 )

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

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

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)

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

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

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

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?

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

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

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

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

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

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

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

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

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

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

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.

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

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

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)

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?

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?

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?

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

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?

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

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.

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

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

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

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

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

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.

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

12
16
8
24

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

N = 9 + X + Y - Z

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

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

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

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).

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)

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

Ans is 2(141) =242

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

Ans is 4 boys and 3 girls

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.

Ans is 2^8.

Ans is B or C

Ans is ¹²C₂

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..

33) Rearrange and categorize the word ‘IGTRE’?
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?

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

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

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

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

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

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

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)

9) (1/3) of a number is 3 times more than the (1/6) of the same number?
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

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

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?

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:

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?

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

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)

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?

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?

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

Ans: 4(155)/7=31

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)

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

Ans is 2(141) =242

Ans is 15 pounds

Ans is 23(cost price + change given).

Ans is 4 boys and 3 girls

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.

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

Ans is 2⁸^.

Ans is B or C

Ans is ¹²C₂

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

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.

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

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.

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

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

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.

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.

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

(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)

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=?

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?

The question can be answered by

a) 1 b) 2 c)3
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

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

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

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.

__________________________________________________________________________________

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

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

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

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

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

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

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

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

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 easily

2. 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

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

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

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

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

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

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:a³-b³ =(a-b)*(a²+a*b+b²) so from this formula we will find (a-b) value

2. (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

3. 3X/5Y = 5Y/3X…..Find the value of X/Y
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

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

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

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

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

4. 3, 12, 7, 26, 15, ?
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

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

8. 3, 15, x, 51, 53,159,161
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

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

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

http://www.m4maths.com/placement-puzzles.php?

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?

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.

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

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 2⁸

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

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

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

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=a²+b²-2*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

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

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

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

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=20m², For one square meter it takes 17 bricks, For 20m²total 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?

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

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?

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

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

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

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

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

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.

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) 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.

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

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.