TCS LATEST PAPER 36

TCS conducted written examination. Around 580 students participated and finally 233(+25 topers) students were selected in this written examination and then after interview session finally 163 students were selected. And by this figure our college has made a record of maximum no of selections in Meerut in TCS.

So Selection Procedure is divided into 3 states:

1) Written Test
2) Technical Interview
3) HR interview

Written Test:

Written test consists of 35 questions 80 mins, It was an online test.

1. 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 and also write code at the same rate. Suppose 14 such programmers take 14 minutes to write 14 lines of code in total. How long will in take 5 programmers to write 5 lines of code in total ?
(a) 19
(b) 5
(c) 14
(d) 70

2. 14 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 people a1, a2,…ak, k>2 such that the pairs {a1,a2}, {a2,a3},…, {a(k-1), ak}, {ak, a1} shake hands).
(a) 11
(b) 12
(c) 10
(d) 13



3. Mr. Beans visited a magic shop and bought some magical marbles of different colours along with other magical items. While returning home whenever he saw a coloured light, he took out marbles of similar colours and counted them. So he counted the pink coloured marbles and found that he has bought 25 of them. Then he counted 14 green marbles and then 21 yellow marbles. He later counted 30 purple coloured marbles with him. But when he reached a crossing, he looked at a red light and started counting red marbles and found that he had bought 23 Red marbles. As soon as he finished counting, it started raining heavily and by the time he reached home he was drenched. After reaching home he found that the red, green and yellow marbles had magically changed colours and became white, while other marbles were unchanged. It will take 1 day to regain its colours, but he needs to give atleast one pair of marbles to his wife now. So how many white marbles must be choose and give to his wife so as to ensure that there is atleast one pair of red, yellow and green marbles ?
(a) 46
(b) 35
(c) 29
(d) 48

4. Given 3 lines in the plane such that the points of intersection from a triangle with sides of length 20, 20 and 20, the number of points equidistant from all the 3 lines is
(a) 4
(b) 3
(c) 0
(d) 1

5. 33 people {a1, a2,…,a33} meet and shake hands in a circular fashion. In other words, there are totally 33 handshakes involving the pairs, {a1,a2}, {a2,a3},…,{a32, a33}, {a33, a1}. Then the size of the smallest set of people such that the rest have shaken hands with at least one person in the set is
(a) 10
(b) 11
(c) 16
(d) 12

6. Amok is attending a workshop ‘How to do more with less’ and today’s theme is Working with fever digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as womankind) had only worked with fever digits. The problem posed at the end of the workshop is ‘How many 10 digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4?’ Can you help Amok find the answer?
(a) 1953125
(b) 781250
(c) 2441407
(d) 2441406

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 wining. 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 11/12 of winning the game. What is the probability that Paul with correctly pick the winner of the Ghana-Bolivia game?
(a) .92
(b) .01
(c) .85
(d) .15


8. There are two boxes, one containing 39 red balls and the other containing 26 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) .60
(b) .50
(c) .80
(d) .30

9. After the typist writes 40 letters and addresses 40 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 improver envelope?
(a) 1 – 1/40
(b) 1/40
(c) 1/401
(d) 0

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 1/3 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/4 of the distance. By what factor should be hare increase its speed so as the win the race?
(a) 4
(b) 3
(c) 12
(d) 5.00

11. A sheet of paper has statements numbered from 1 to 20. For each value of n from 1 to 20, statements n 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 13 statements are false and the rest are true.
(c) The first 6 statements are true and the rest are false.
(d) The even numbered statements are true and the odd numbered are false.

12. Subha Patel is an olfactory scientist working for International Flavors and Fragrances. She specializes in finding new scents recorded and reconstituted from nature thanks to Living Flower Technology. She has extracted fragrance ingredients from different flowering plants into bottles labeled herbal, sweet, honey, anisic and rose. She has learned that a formula for a perfume is acceptable if and only if it does not violate any of the rules listed: If the perfume contains herbal, it must also contain honey and there must be twice as much honey as herbal. If the perfume contains sweet, it must also contain anisic, and the amount of anisic must equal the amount of sweet. honey cannot be used in combination with anisic. anisic cannot be used in combination with rose. If the perfume contains rose, the amount of rose must be greater than the total amount of the other essence or essences used. Which of the following could be added to an unacceptable perfume consisting of two parts honey and one part rose to make it acceptable?
(a) Two parts rose
(b) One part herbal
(c) Two parts honey
(d) One part sweet

13. The citizens of planet Oz are 6 fingered and thus have developed a number system in base 6. A certain street in Oz contains 1000 buildings numbered from 1 to 1000. How many 3’s are used in numbering these buildings? Express your answer in base 10.
(a) 144
(b) 54
(c) 108
(d) 36


14. A sheet of paper has statements numbered from 1 to 20. For all values of n from 1 to 20, 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) All the statements are false.
(c) The odd numbered statements are true and the even numbered statements are false.
(d) The second last statement is true and the rest are false.


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 tank B is 1/8 filled after 5 hours, what is the total duration required to fill it completely?
(a) 9 hours
(b) 7 hours
(c) 3 hours
(d) 8 hours

16. 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) 900
(b) 488
(c) 500
(d) 800

17. Alice and Bob play the following coins-on-a-stack game. 100 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 (for some I between 0 and 100). 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 coin is 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) Alice has no winning strategy.
(d) In order to win, Alice’s first move can be a 0-move or a 1-move.

18. The teacher is testing a student’s proficiency in arithmetic and poses the following question: 1/2 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) 9
(b) 8
(c) 10
(d) 3

19. A circular dashboard of radius 1.0 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) 1.00
(b) .75
(c) .25
(d) .50

20. A result of global warming is that the ice of some glaciers is melting. 13 years after the ice disappears, tiny plants, called lichens, start to grow on the rocks. Each lichen grows approximately in the shape of a circle. The relationship between the diameter of this circle and the age of the lichen can be approximated with the formula: d=10*(t – 13) for t > 13, where d represents the diameter of the lichen in millimeters, and t represents the number of years after the ice has disappeared. Using the above formula, calculate the diameter of the lichen, 45 years after the ice has disappeared.
(a) 450
(b) 437
(c) 13
(d) 320

21. A sheet of paper has statements numbered from 1 to 20. For each value of n from 1 to 20, statement n says ‘At least n 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 13 statements are false and the rest are true.
(c) The fist 6 statements are true and the rest are false.
(d) The odd numbered statements are true and the even numbered are false.

22. 45 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 the suspects are lying. B. The leftmost suspect is guilty. C. The rightmost suspect is guilty.
(a) A and C
(b) A and B
(c) A only
(d) B only

23. Ferrari S.P.A. is an Italian sports car manufacturer base in Maranello , Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored driver and manufactured race cars before moving into production of street – legal vehicles in 1947 as Ferrari S.p.A. sThroughout its history, the company has bee noted for its continued participation in racing, especially in Formula One, where it has enjoyed great success. Rohit once brought a Ferrari. It could go 2 times as fast as Mohit’s old Mercedes. If the speed of Mohit’s Mercedes is 40 Km/hr and the distance traveled by the Ferrari is 913 Km, find the total time taken for Rohit to drive the distance.
(a) 12 Hours
(b) 22 Hours
(c) 456 Hours
(d) 11.41 Hours

24. A sheet of paper has statements numbered from 1 to 10. For all values of n from 1 to 10, 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 second last 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

25. 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 we as womankind) had only worked with fewer digits. The problem posed at the end of the workshop is ‘How many 6 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) 3906
(b) 3907
(c) 3125
(d) 1250

26. Alice and Bob play the following coins-on-a-stack game. 100 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 of the 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 (for some I between 0 and 100). We will call this as 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 happen to be on the top when it’s a player’s turn then the player wins the game. Initially, the gold coin is the third coin from the top. Then
(a) In order to win, Alice’s first move should be a 1-move.
(b) Alice has no winning strategy.
(c) In order to win, Alice’s first move can be a 0-moveor a 1-move.
(d) In order to win, Alice’s first move should be a 0-move.

27. There are two boxes, one contains 47 red balls and the other containing 46 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).75
(b) .50
(c) .25
(d) .51

28.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.
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?

29. 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.
23.62
11.39
8.78
236.16

30.. 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

31.Here 10 programmers, 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

32. 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

33.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

34.Suppose 12 monkeys take 12 minutes to eat 12 bananas. How many monkeys would it take to eat 72 bananas in 72 minutes?
6
72
12



35. If there are 30 cans out of them one is poisened 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 poisened can?
A) 3 B) 2 C) 6 D) 1

TR ----- my TECHNICAL Interview started around 1:15 pm (11/09/2011) and lasts about 35 minutes or so..

TR asked me questions from my
1)Hobbies (about 5 min)
2) my past project(which i had done after my 2nd year)..(about 10 mins)
3) my future project( which will be my major project in final year)..(about 10 mins)
4) basic electronics ( about 5 mins)
5) amplifier (about 5 mins)
6) he asked me to ask any ques from him...

HR-----my Hr round started around 3:20pm (11/09/2011) and lasts about 3-4 mins..

Hr asked me...

1) Hw ws ur day??
2) giv me some of ur family background??
3) why when fan rotates blows air underneath it??
4) what gas is uesd in AC??
5 what gas is uesd in tubelights??


All three round were very cool and had free talk with interviewer.. the interviewers were very lenient. On 11th of sept the results were declared at 9:45 P.M. We were at the college at that tym. And the results were banged on the notice board. My name was in that list....

So got placed in TCS...:):):)

Be confident while answering the questions in the interview. Smile and give the answer it shows that u r confident not nervous...

Best of luck...
Abhishek