Whole-Testpaper | 4493

Hi Friends,

TCS came to our college on 8th December. Totally 950 students appeared for TCS online exam and 480 are cleared. Aptitude questions came from previous questions papers only but they have changed the values study throughly all the 70th patterns questions available in the net and also don't mug any answers because they have totally changed the values. If you understand the concept of all questions then you can easily clear the online exam also take the sample online exam that is available in TCS portal because most of the questions are coming from that model only with values changed next round is Technical/HR round. There is no separate HR round and technical round. It is combined round.

I'll post some of the questions i got in exam.

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 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?

( I got this ques 3 times with values changed)

2. Alok and Bhanu play the following min-max game. Given the expression N = 24 + 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(i got this ques 2 times with equations changed)

Ans: 35

3. 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 n of the statements on this sheet are true." Which statements are true and which are false?

a) All statements are false

b) The odd numbered statements are true the even numbered are false

c) All statements are true

d) The even numbered statements are true and the odd numbered are false

(like this i got another ques with stmts numbered from 1 to 10)

4. The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 100 (in base 8) buildings numbered 1 to 100. How many 3s are used in numbering these buildings and give the answer in base 10 system? (my friends got same ques with give the ans in base 7, base 6, base 5etc)

5. A result of global warming is that the ice of some glaciers is melting. Twelve years after the ice disappears tiny plants, called lichens, start to grow on the rocks. Each lichens 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 = 13 * (t-11) for t > 11 where d represents the diameter of the lichen in millimeters, and t represents the number of years after the ice disappeared. Using the above formula, calculate the diameter of the lichen, 36 years after the ice has disappeared.

a) 468 mm b) 457 mm c) 325 mm d) 11 mm

a) 468 mm b) 457 mm c) 325 mm d) 11 mm

6. 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) 1/4 b) 1/2 c)3/4 d) 1/3

7. After the typist writes 25 letters and addresses 25 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) 11/12 b) 0 c) 1/12 d) 1/6

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 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) 625 c) 500 d) 3125

7. 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) 0 c) 4 d) 2

(For this question they changed the value of third side but the ans for this type of question is always one)

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 111cm. The formula applies to Bernards walking. Calculate Bernards walking speed kmph.

9. Alice and Bob play the following coins-on-a-stack game. 50 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, Alices first move should be a 0-move.

b) In order to win, Alices first move should be a 1-move.

c) Alice has no winning strategy.

d) In order to win, Alices first move can be a 0-move or a 1-move

10. 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) 1/3 (For this question they changed the values)

11. 33 people {a1, a2, ..., a36}meet and shake hands in a circular fashion. In other words, there are totally 33 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?

(ans is 11)

12. One 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 hours has 90 min while each minute has 60 sec. As on earth, hour hand covers the dial twice every day. Find the approximate angle between the hands of clock on Oz when time is 15.40 am?

13. Planet fourfi resides in 4 dimensional space and thus the currency used by its residents are 3 dimensional objects. The rupees 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 16mm and not exceed 64mm

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?

14. A hare and tortoise 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 tortoise has covered 1/5 its distance and that 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) 8

b) 37.80

c) 40

d) 5 (For this question they changed the value 1/5 to 1/3 and 1/8 to 1/7)

15. 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:(2 + 72)

b) 1:(4 + 73)

c) (2 + 72):1

d) 1:(2 + 62) ( For me they changed 7 circles to 9 circles)

16. 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 in1947 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 Mohits old Mercedes. If the speed of Mohits 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.

17.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 is maximized. This maximum probability is

a) 37/38 b) 1 / 2 c) 14/19 d) 3 / 4 (values are changed for me. I think it is 23 red and 30 green)

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) the leftmost suspect is guilty

C) rightmost suspect is guilty

a)A only

b)A and B

c)B only

d)A and C

19. 1/3rd of the number is 3 more than 1/6th of the number, then find the number?

a) 24 b) 12 c) 18 d) 20

20. 21 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 such that the pairs (a1, a2),(a2, a3),
, (a (k-1),a k) , (ak, a1) shake hands.

a) 17 b) 18 c) 19 d) 20

21. 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 liters, second hour it has 20, and so on) If tank B is 1/16 filled after 17 hours, what is the total durations required to fill it completely?

a) 4 hours b) 21 hours c) 22 hours d) 24 hours

22. 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 tournoi is one, where out of 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?

If it is mathches then formula is 2^n-1

If it is players then it is 2^n

23. 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 9 points in the plane in general position (.i.e no three points in P lie on a line) is

a) 7 b) 9 c) 8 d) 10

24. A lady has fine gloves and hats of different colours of hats in her closet-18 blue,32 red and 25 yellow.the lights are out and it is totally dark.In spite of thr ddarkness,she can make out of the difference which is hat and a glove.she takes an item out of the closet only if he sure that it is glove .how many gloves must she take out make sure that she has a pair of each color.

a)6 b)8 c)60 d)59 (For me they changed the values of blue,red and yellow colours)

25. (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:

(Like this model. But they changed the story by adding lemon, sweet etc and we have to find the option that gives ans for the impossible combination that is given in questions. Its a easy and logical type question)

26. One question like that there are 40 barreals are there and one is poisoned. If a drop is consumed he will die in 14 hrs then how many least mice are required to find the poisoned barreal?

Remaining i can't remember. I attempted around 32 questions and I'm sure 27-28 are correct and i cleared my online exam and luckily i got HR panel n the HR was very kind n in jolly mood. They announced the results on 9th December and my name also one among the students selected. Proud to join TATA groups.