TCS Sample Aptitude Questions 6 - Recruitment 2011
Q1. 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
Answer : c
Q2. 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 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
Answer : b
Q3. A man is standing in front of a painting of a man, and he tells us the following: Brothers and sisters have I none, but this man’s father is my father’s son. Who is on the painting?
a.His son
b.His grandfather
c.His father
d.He himself
Answer : a
Q4. 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
Answer : c
Q5. Ramu & Sangeeta 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 sangeeta 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?
a. 2
b. 5
c. 6
d. 7
Answer : a
Q6. 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.
a. 5
b. 6
c. 7
d. 8
Answer : c
Q7. 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.18
c.6
d.21
Answer : b
Q8. 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?
a.1 apple, 1 chickoo, 1 peanut
b.1 apple, 2 chickoos, 2 peanuts
c.1 apple, 2 chickoos, 1 peanut
d.1 apple, 3 chickoos, 2 peanuts
Answer : c
Q9. 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
Answer : c
Q10. 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.
Answer : a
Q11. Fermat’s Last Theorem is a statement in number theory which states that it is impossible to separate any power higher than the second into two like powers, or, more precisely- If an integer n is greater than 2, then the equation a^n b^n = c^n has no solutions in non-zero integers a, b, and c. Now, if the difference of any two numbers is 9 and their product is 17, what is the sum of their squares?
a.43
b.45
c.98
d.115
Answer : d
Q12. 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 totalnumber of wheels to be 46. What could be the possible number of bicycles?
a.25
b.5
c.4
d.2
Answer : b
Q13. Alchemy is an occult tradition that arose in the ancient Persian empire. Zosimos of Panopolis was an early alchemist. Zara, reads about Zosimos and decides to try some experiments. One day, she collects two buckets, the first containing one litre of ink and the second containing one litre of cola. Suppose she takes one cup of ink out of the first bucket and pours it into the second bucket. After mixing she takes one cup of the mixture from the second bucket and pours it back into the first bucket. Which one of the following statements holds now?
a.There is more cola in the first bucket than ink in the second bucket.
b.There is as much cola in the first bucket as there is ink in the second bucket.
c.There is less cola in the first bucket than ink in the second bucket.
Answer : b
Q14. 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 19 points in the plane is
a.10
b.9
c.3
d.5
Answer : a
Q15. Both A and B Alice and Bob play the following chip-off-the-table game. Given a pile of 58 chips, Alice first picks at least one chip but not all the chips. In subsequent turns, a player picks at least one chip but no more than the number picked on the previous turn by the opponent. The player to pick the last chip wins. Which of the following is true?
a.In order to win, Alice should pick 14 chips on her first turn.
b.In order to win, Alice should pick two chips on her first turn.
c.In order to win, Alice should pick one chip on her first turn
Answer : b
Q16. 30 teams enter a hockey tournament. A team is out of the tournament if it loses 2 games. What is the maximum number of games to be played to decide one winner?
a.60
b.59
c.61
d.30
e.34
Answer : b ( 2*29 + 1 )
Q17. Suppose 12 monkeys take 12 minutes to eat 12 bananas. How many monkeys would it take to eat 72 bananas in 72 minutes?
a.6
b.72
c.12
d.18
Answer : c
Q18. 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 3 red faces and 3 blue faces. How many red and blue faces should the other die have if the both players have the same chances of winning?
a.5 red and 1 blue faces
b.1 red and 5 blue faces
c.3 red and 3 blue faces
Answer : c
Q19. 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. (2+ 7√2):1
b. 1:(2+ 6√2)
c. 1:(4+ 7√3)
d. 1:(2+ 7√2)
Answer: b
Q20. 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. The even numbered statements are true and the odd numbered are false.
b. All statements are false.
c. All statements are true.
d. The odd numbered statements are true and the even numbered are false.
Answer: b
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