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Quantitative aptitude test (35 questions, 80 minutes)

1. A sheet of paper has statements numbered from 1 to 20. for each value of n from 1 to 20, statement says 'At least n of the statements on this sheet are true.' which statements are true and which are false?

2. Alok and bhanu play the following min-max game. Given the expression N=46+X+Y-Z, where X,Y and Z are variables representing single digits (0 to 9) alok woul like to maximize N while bhanu would like to minimize it. Towards this end, alok chooses a single digit number and bhanu substitues this for a variable of her choice (X, Y or Z) Alok then chooses the next value and bhanu the variab le to substitute the value. Finallyu aloka 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) 37 (b) 57 (c) 64 (d) 55

3. The pacelength P is the distance between the rear of two consecutive footprints for men the formula n/P=110 gives an approximate relationship between n and P where n= number os steps per minute and P= pacelength in meters. Bernard knows his pacelength is 97cm the formula applies to Bernards walking. Calculate Bernards walking speed in kmph. (a) 106.70 (b) 8.82 (c) 6.21 (d) 11.34

4. 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 side of the square to radius to the circles. You may assume that squate toot of 2 is 1.4 (a) 13.90 :1 (b) 10.40 :1 (c) 11.80 :1 (d) 15.90 :1

5. Alok is attending a workshop how to do more with less and todays theme is working with fewer digits. The speakers discuss how a lot of miraculous mathematics can be achived if mankind (as well as womankind) had only worked with fewer digits. The problem posed at lthe 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 divible by 4? Can you help alok find the answer? (a) 3125 (b) 3906 (c) 1250 (d) 3907

6. Given 3 lines in the plane such that the points of intersection from a triangle with sides of length 20, 20 and 11 the number of points equidistant from all the 3 lines is (a) 0 (b) 3 (c) 1 (d) 4

7. After the typist writes 100 letters and addresses 100 envelopes she inserts the letters randomly in to the envelopes(1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelop? (a) 0 (b) 1-1/100 (c) 1/100! (d) 1/100

8. The teacher is testing a students 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) 19 (b) 6 (c) 17 (d) 18

9. The IT giant tirnop has recently crossed a head count of 150000 and earnings of $7billion. 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 13 such programmers take 13 minutes to write 13 lines of code in total. How many lines of code can be written by 104 programmers in 104 minutes: ( a) 104 (b) 832 (c) 13 (d) 8

10. A sheet of paper has statements numbered from 1 to 16 for all values of n from 1 to 16 statement n says: ?Exactly n of the statements on this sheet are false?. Which statements arte true and which are false? (a) The second last statement is true and the rest are false. (b) The even numbered statements are true and the odd numbered statements are false. (c) All the statements are false. (d) The odd numbered statements are true and the even numbered statement are false.

11. 45 suspects are rounde 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. Shich of the following possibilities are ture? A. all the suspectrs are lying. B. the leftmost suspect is guilty. C. the rightmost suspect is guilty. (a)A and C (b)A and B (c)B only (d)A only

12. 45 people {a1, a2, ??a45} meet and shake hands in a circular fashion. In other words, there are totally 45 handshakes involving the pairs, {a1, a2}, {a2,a3},?..{a44,a45},{a45,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)16 (b)22 (c)15 (d)14 13.The citizzens of planet oz are 8 fingered and thus habve developed a number system in base 8. A certain street in Oz contains 1000 buildings nubered from 1 to 1000. How many 4s are used in numbering these buildings ? Express your answer in base 10. (a)64 (b)96 (c)192 (d)256

14. Middle earth is 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 tournoi 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 6 rounds played in a knock out tournoi how many matches were played? (a) 42 (b) 64 (c) 63 (d) 65

15. Ferrari S. p.A is an italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the compay sponsored drivers and manufactured race cars bvefore moving into production of street-legal vehicles in 1947 as Ferrari S.p.A through out is history the compay 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 4 times as fast as Mohit?s old Mercedes. If the speed of Mohit?s Mercedes is 32 km/hr and the sistance traveelled by the Ferrari is 991 km, find the total time taken for Rohit to drive that distance (a) 7.74 Hours (b) 247 Hours (c) 8 Hours (d) 30 Hours

16. A circula 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 I th circle. What is the probability that Q is closer to the center of circle than the periphery? (a) .25 (b) .75 (c) .50 (d) 1.00

17. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare I the other. The hare starts after the tortoise had coveredc 1/7 of its distance and that tooo leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor shoul the hare increase its speed so as to ties the reace? (a) 8 (b) 41.00 (c) 56 (d) 7

18. 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 minutes while each minute has 60 seconds. As on earth the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Oz when the time is 15:40 am

19. For the king?s revelry 254 barrels of beer have b een ordered . howerver, it was found that one of them is poisoned. The poison takes effect even if consumed in the tiniest amount after 14 hours. Yhou need to find within 24 hours the poisoned barrel and have at your disposal some beer guzzling mice. The smallest number of mice required to find the poisoned barrel is (a) 9 (b) 8 (c) 254 (d) 7

20. Planet Fourfe resides in 4-dimensional space and thus the currency used by its residents are 3- dimensional objects. The rupee notes are cubical in shape shile their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins. A. The diameter of the coins should be at least 16 mm and not exceed 64mm. B. given a coin the diameter of the next larger coin is at least 50% greater. C. the diameter of the coin must always be na integer. You are asked to design a set of coins of different diameters with thers requirements and your goal is to desigh as many coins as possible. How many coins can you design? (a) 6 (b) 2 (c) 4 (d) 3

21. There are two boxes, one containing 24 red balls and the other containing 38 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) .50 (b) .39 (c) .69 (d) .19

22. 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 pint 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 4 points in the plane is (a) 3 (b) 2 (c) 4 (d) 5

23. 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 23 hours, what is the total duration required to fill it completely?

24. A man has some socks in his drawere ? 14 identical blue, 20 identical red, and 28 identical black. The lights are out and it is totally dark. How many socks must he take out to make sure he has a pair of each colour? (a) 34 (b) 50 (c) 30 (d) 28

25. As 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=18*(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 , 39 years after the ice has disappeared. (a) 702 (b) 468 (c) 13 (d) 689

26. 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) 49 (b) 45 (c) 69 (d) 20

27. 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. All of the following combinations are possible to make a perfume except (a) Balsamic and Lilac (b) Woody and Lemon (c) MI mosaic and Woody (d) MI mosaic and Lilac

28. A lady has fine gloves and hats in her closet- 18 blue- 32 red, 10 white, 25 yellow, 55 purple, 30 orange. 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 of blue, red, yellow? (a) 59 (b) 8 (c) 50 (d) 42

29. Alok and Bhanu play the following min-max game. Given the expression N = 15 + 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) 28 (b) 30 (c) 33 (d) 35

30. A and B play a game between them. The dice consist of colors on their faces(instead of number). 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 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 (d) 4 red and 2 blue faces

31. 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) 21 (b) 31 (c) 6 (d) 32

32. A sheet of paper has statements numbered from 1 to 45. For all values of n from 1 to 45, statement n says ?At most n of the statements on this sheet are false?. Which statements are true and which are false?

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

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

(c) All statements are true.

(d) All statements are false.

32. In planet OZ planet there are 8 days, sunday to saturday and 8th day is OZ day. There is 36 hours in a day. What is angle between 12.40?

(a) 80 (b) 81 (c) 87 (d) 89

33. 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

34. 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 10 such programmers take 10 minutes to write 10 lines of code in total. How many lines will be written by 50 programmers in 50 minutes in total? (a) 50 (b) 18 (c) 10 (d) 250

35. 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

I attempted 29 out of 35 and results were declared in about an hour or so and i cleared the test.

In our college around 330 appeared for the apti out of which 270 cleared the written test. Interview was held on 30th December 2010, at Techno India Salt LAKE campus. The reporting time for us was at 2.30 p.m. When my turn for in interview came it was 5.40 p.m.

My interview went on for around 20 minutes. My name was called by some TCS official and I went inside along with him inside the room. The room where I was interviewed there was 3 interviewer simultaneously interviewing my friends as that slot was especially for our college only. So I went near to him.

To be honest i was nervous and my heart was pounding. I said good evening Sir. Then i sat on the chair. Then he was looking throughly through the TCS form which is to be filled and submitted along with my CV. After couple of minutes he asked me

Tell me about yourself? I mentioned my name, native place, education and hobbies. As I mentioned my hobbies as internet surfing and chating. He asked what I luck about chating? Why I spent time in chating rather than reading the books? I'm very passionate about chating so I replayed to him in a manner I guess he liked it.

Then he went over to my project- my project title "jChat-Chat Client in Java". He asked all the details about the project then he carried on asked to draw the architecture of the project and database part too. Basically J stands for Java. It is basically intranet chat application which is being developed by me as a part of my final year project.

Then he asked me about the keys in DBMS: Primary key its features, foreign key. Constraints different types of constraints. Well in my subject of interest I had mentioned operating system and networking but no questions from this two subjects. After that he said we will get bak to you then said said thank you sir have a nice day and left the room.

Anyways I would like to thank God and all those who helped me in paving the path for me. Remember 2 thing in apti dont guess and in interview be relaxed. Another thing your are not out unless and until the result is out even if your out here don't wry as because TCS is not the last company so have faith in God. If anything you wish 2 know just mail me or give me call. If I can I will surely help you.

Last but not the least I would like to thank Freshersworld.com for their effort. Its an amazing site for a freshers. He can avail the info from here.

Thank You.

With regards Kamalesh Chakraborty

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Company Details:Placement Paper Details:Author Details:Stream: Information Technology

College: Siliguri Institute Of Technology, Siliguri

Session: 2007-2011

Phone no: +919800035401

Quantitative aptitude test(35 questions, 80 minutes)(a) 37 (b) 57 (c) 64 (d) 55

(a) 106.70 (b) 8.82 (c) 6.21 (d) 11.34

(a) 13.90 :1 (b) 10.40 :1 (c) 11.80 :1 (d) 15.90 :1

(a) 3125 (b) 3906 (c) 1250 (d) 3907

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

(a) 0 (b) 1-1/100 (c) 1/100! (d) 1/100

(a) 19 (b) 6 (c) 17 (d) 18

a) 104 (b) 832 (c) 13 (d) 8

(a) The second last statement is true and the rest are false. (b) The even numbered statements are true and the odd numbered statements are false. (c) All the statements are false. (d) The odd numbered statements are true and the even numbered statement are false.

(a)A and C (b)A and B (c)B only (d)A only

13.The citizzens of planet oz are 8 fingered and thus habve developed a number system in base 8. A certain street in Oz contains 1000 buildings nubered from 1 to 1000. How many 4s are used in numbering these buildings ? Express your answer in base 10.

(a)64 (b)96 (c)192 (d)256

(a) 42 (b) 64 (c) 63 (d) 65

(a) 7.74 Hours (b) 247 Hours (c) 8 Hours (d) 30 Hours

(a) .25 (b) .75 (c) .50 (d) 1.00

(a) 8 (b) 41.00 (c) 56 (d) 7

(a) 9 (b) 8 (c) 254 (d) 7

(a) 6 (b) 2 (c) 4 (d) 3

(a) 3 (b) 2 (c) 4 (d) 5

(a) 34 (b) 50 (c) 30 (d) 28

(a) 702 (b) 468 (c) 13 (d) 689

(a) 49 (b) 45 (c) 69 (d) 20

(a) Balsamic and Lilac (b) Woody and Lemon (c) MI mosaic and Woody (d) MI mosaic and Lilac

(a) 59 (b) 8 (c) 50 (d) 42

(a) 28 (b) 30 (c) 33 (d) 35

(a) 21 (b) 31 (c) 6 (d) 32

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

(a) 50 (b) 18 (c) 10 (d) 250

Freshersworld.comfor their effort. Its an amazing site for a freshers. He can avail the info from here.Kamalesh Chakraborty