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Aptitude question papers and Placement papers of TCS 
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Re: Aptitude question papers and Placement papers of TCS
TCS (Tata Consultancy Services) is the major recruiter in India. The exam requires enough preparation and sample placement paper are of great assistance. The sample papers are attached below. Sample Questions: Dipin's score is 15% more than that of Rafi. Rafi's score is 10% less than that of Chandar. If the difference between the scores of Dipin and Chandar is 14, what is the score of Rafi? a) 180 b) 360 c) 120 d) 480 Answer : b) 360. A can write 3 notebooks in 48 days and B can write 4 notebooks in 48 days. If, with the help of their friend C, they write 5 notebooks in 20 days, then C alone can write 5 notebooks in: a) 42 days b) 48 days c) 36 days d) 38 days. The face of the square and an equilateral triangle are equal with 12 inches.Find the quantitative relation of their area. a) 3:4 b) 2:3 c) 4:sqrt3 d) 2:sqrt3 Answer : c) 4:sqrt3 If 1 can of pure milk is to be mixed with 3 cans of water to make coffee then how many six litre can of pure milk are needed to prepare hundred servings of 3 litre of coffee? a) 12 b) 13 c) 14 d) 15 Answer : b) 13. In a mathematical test, Ram was asked to find the average of some numbers. By using the average 51 2/3 of X,Y and Z, he found 6 values X, Y, Z, X+Y, Y+Z and Z+X. Find the average of all the seven values. a) 87.12 b) 88.57 c) 79.92 d) 78.12 Answer : b) 88.57 If 2/5 th of a number exceeds 3/10 of another number by twice of 17 and 190 is the sum of that two numbers then the biggest of them is: a)120 b)130 d)165 d)132 Answer : b)130 TCS Placement paper 1. Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running race organized by the Asian athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game. How many teams participated in the race? a) 30 b) 32 Answer c) 41 d) 54 2. From the top of a 9 metres high building AB, the angle of elevation of the top of a tower CD is 30ş and the angle of depression of the foot of the tower is 60ş. What is the height of the tower? a) 12 Answer b) 18 c) 9 d) 15 3. 49 members attended the party. In that 22 are males, 27 are females. The shake hands are done 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 Answer c) 48 d) 128 4. 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 streetlegal 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 Answer c) 238.25 d) 6.18 5. 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.Answer 6. 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, what is the minimum no. of mice’s required to find poisoned can? a) 3 b) 2 c) 5 Answer d) 1 7. 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) 5^7 b) 5^6 c) 5^9 d) 5^8Answer 8. 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 Answer b) 8 c) 40 d) 5 9. 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 GhanaBolivia game? a) 1/9 b) 4/9 c) 5/9 Answer d) 2/3 10. 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 Answer b) 11 c) 13 d) 18 11. 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 Answer c) 37/38 d) 3/4 12. 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) 0.25Answer 13. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one 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, third hour it has 40 and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely? a) 26hrs Answer b) 25hrs c) 5hrs d) 27hrs 14. 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 155kg then find the average weight of all the 7 rounds? a) 88.5 Answer b) 77.5 c) 50 d) 55 15. A grand father has 3 grand children. Age difference of two children among them is 3. Eldest child age is 3 times the youngest child’s age and the eldest child age is two year more than the sum of age of other two children. What is the age of the eldest child? a) 15 Answer b) 10 c) 22 d) 18 16. In a mixture of a, b, & c, if a and b are mixed in 3:5 ratio and b and c are mixed in 8:5 Ratio and if the final mixture is 35 liters, find the amount of b? a) 13.34 b) 15.73 Answer c) 16.73 d) 9.45 17. 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 Answer b) 12/212 c) 11/12 d) 1/12 18. 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. B. leftmost suspect is innocent. C. leftmost suspect is guilty a) A only b) A or C c) A or B Answer d) B only 19. 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 1face of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted? a) 900 b) 488 c) 563 Answer d) 800 20. My flight takes of at 2am from a place at 18N 10E and landed 10 Hrs later at a place with coordinates 36N70W. What is the local time when my plane landed? a) 12 noon b) 6: 40 AM Answer c) 5: 20 PM d) 6:50 AM 21. 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 Answer c) 137 d) 145 22. In a 100m race , A beats B by 15m and B beats C by 10m . If A beats C by 5 sec then find the speed of C. a) 5 m/sec b) Speed of C cannot be found with given data c) 4.7 m/sec Answer d) 4 m/sec e) 4.5 m/sec 23. A man, a woman, and a child can do a piece of work in 6 days. Man only can do it in 24 days. Woman can do it in 16 days and in how many days child can do the same work? a) 12 b) 40 c)6 Answer d) 8 24. Oshkosh did a study of the colors used in African national flags. He found that 38 flags have red, 20 have blue, 13 have both red and blue, and 8 have neither red nor blue. How many flags a. have red but not blue? b. have blue but not red? c. were included in the study? a) 25, 7, 53 Answer b) 38, 20, 79 c) 25, 7, 66 d) 30, 20, 60 25. Amrith told to Anand in front of a photo that “He is the son of my father's son”ť. 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 SonAnswer TCS Placement paper2 1. Ray writes a two digit number. He sees that the number exceeds 4 times the sum of its digits by 3. If the number is increased by 18, the result is the same as the number formed by reversing the digits. Find the number. a) 35 b) 42 c) 49 d) 57 Solution: Let the two digit number be xy. 4(x + y) +3 = 10x + y .......(1) 10x + y + 18 = 10 y + x ....(2) Solving 1st equation we get 2x  y = 1 .....(3) Solving 2nd equation we get y  x = 2 .....(4) Solving 3 and 4, we get x = 3 and y = 5 2. a, b, c are non negitive integers such that 28a+30b+31c = 365. a + b + c = ? a) Greater than 14 b) less than or equal to 11 c) 13 d) 12 In a calender, Number of months having 28 days = 1 Number of months having 30 days = 4 Number of months having 31 days = 7 28 x 1 + 30 x 4 + 31 x 7 = 365 Here, a = 1, b = 4, c = 7. a+b+c = 12 3. George can do a piece of work in 8 hours. Paul can do the same work in 10 hours, Hari can do the same work in 12 hours. George, paul and hari start the same work at 9 am, while george stops at 11 am, the remaining two complete the work. What time will the work complete? a) 11.30 am b) 12 noon c) 12.30 pm d) 1 pm Let the total work = 120 units. As George completes this entire work in 8 hours, his capacity is 15 units /hour Similarly, the capacity of paul is 12 units / hour the capacity of Hari is 10 units / hour All 3 started at 9 am and worked upto 11 am. So total work done upto 11 am = 2 x (15 + 12 + 10) = 74 Remaining work = 120  74 = 46 Now this work is to be done by paul and hari. 46 / (12 + 10) = 2 hours (approx) So work gets completed at 1 pm 4. If x^y denotes x raised to the power y, Find last two digits of (1141^3843) + (1961^4181) a) 02 b) 82 c) 42 d) 22 5 J can dig a well in 16 days. P can dig a well in 24 days. J, P, H dig in 8 days. H alone can dig the well in How many days? a) 32 b) 48 c) 96 d) 24 Assume the total work = 48 units. Capacity fo J = 48 / 16 = 3 units / day Capacity of P = 48 / 24 = 2 units / day Capacity of J, P, H = 48 / 8 = 6 units / day From the above capacity of H = 6  2  3 = 1 So H takes 48 / 1 days = 48 days to dig the well 6. If a lemon and apple together costs Rs.12, tomato and a lemon cost Rs.4 and an apple costs Rs.8 more than a lemon. What is the cost of lemon? L + A = 12 ...(1) T + L = 4 .....(2) L + 8 = A Taking 1 and 3, we get A = 10 and L = 2 7. 3 mangoes and 4 apples costs Rs.85. 5 apples and 6 peaches costs 122. 6 mangoes and 2 peaches costs Rs.144. What is the combined price of 1 apple, 1 peach, and 1 mango. a) 37 b) 39 c) 35 d) 36 3m + 4a = 85 ..(1) 5a + 6p = 122 ..(2) 6m + 2p = 144 ..(3) (1) x 2 => 6m + 8a = 170 4 x (3) => 6m + 2p = 144 Solving we get 8a  2p = 56 ..(4) (2) => 5a + 6p = 122 3 x (4) = 24a  6p = 168 Solving we get a = 10, p = 12, m = 15 So a + p + m = 37 8. An organisation has 3 committees, only 2 persons are members of all 3 committee but every pair of committee has 3 members in common. what is the least possible number of members on any one committee? a) 4 b) 5 c) 6 d) 1 From the (iii) clue, peda must be eaten after jilebi. so Peda should not be eaten on monday. 9. If YWVSQ is 25  23  21  19  17, Then MKIGF a) 13  11  8  7  6 b) 1  2357 c) 9  8  7  6  5 d) 7  8  5  3 MKIGF = 13  11  9  7  6 Note: this is a dummy question. Dont answer these questions 10. Addition of 641 + 852 + 973 = 2456 is incorrect. What is the largest digit that can be changed to make the addition correct? a) 5 b) 6 c) 4 d) 7
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