Company: Tata Consultancy Services (TCS)

TCS Placement Paper Technocrats Institute Of Technology, Bhopal

Written Test:

some of the questions.

Q1. (1/2) of a number is 3 more than the (1/6) of the same number?
a) 6 b) 7 c) 8 d) 9

Solution:

Let the number be x,
((1/2)*x)=3+(1/6)*x,

Then solve x

Q2. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 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 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?
a) 26 B) 25 c) 5 d) 27

Solution: for every hour water in tank in B is doubled, Let the duration to fill the tank B is x hours. x/32 part of water in tank of B is filled in 21 hours, Next hour it is doubled so, 2*(x/32) part i.e (x/16) part is filled in 22 hours,

Similarly (x/8)th part in 23 hours,(x/4)th part is filled in 24 hours, (x/2)th part is filled in 25 hours, (x)th part is filled in 26 hours

So answer is 26 hours.

Q3. Out of 7 children the youngest is boy then find the probability that all the remaining children are boys
a) 1/64 b) 1/32 c) 1/128 d) 1/256

Solution:
Probability of a boy or girl is ½
So for remaining 6 it’s – {1/2}^6= 1/64

Q4. A lady has fine gloves and hats in her closet- 14 blue, 20 red, and 18 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) 40 d) 42

Solution:

This is the most repeated question in Tcs so prepare it well. It has no logic but it’s answer comes like this

Firstly add 2 max values i.e 20+18=38
Then add 2 to answer i.e. 38+2=40 so this is the answer.

Q5. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option?
a) 1/2 b) 1/6 c) 1/12 d) 6/10

Solution is ½.

Q6. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?
a) 17 b) 21.25 c) 12.25 d) 14.05

Solution: radius =7mm, then diameter 2*radius, substitude diameter the in above equation you will get answer

Q7. 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 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 c) 238.25 d) 6.18

Solution: Speed of Ferrari =4*35=140,time=distance/velocity,

Q8. 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 u divide 31p so that u will provide the exact change required and carry as less coins as possible?
a) 4 b) 5 c) 6 d) 7

Solution: Will be 5.

For 31p, we divide it 1,2,4,8,16.

Q9. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?
a) loss 23 b) gain 23 c) gain 54 d) Loss 54

Solution: 23 loss
as he has to pay 35 dollar to neighbor he has only 31 remaining
so 35-31=4
and cycle costs 19 dollar
so total loss=19+4=23 dollar

Q10. 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

Solution: 1
Because in that problem they didn’t mention the details like,one mice take 2 hr or 3hr etc. They told only 24 hr to test. So 1 mice is enough rest are useless words.

Q11. A Sheet of paper has statements number 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 no statements are true and the odd no statements are false.
b. The 1st 13 statements are false and rest are true.
c. The 1st 6 statements are true and rest are false
d. The odd no statements are true and even no. are false.

Solution: This type of question was repeated 3 times but for different case.

For this type of Questions, follow this:
At least- Ist half are true, Last half are false
Exactly- Last second one is true or (N-1)th Statement is true
Almost- All are true.

So correct answer is (C)

Q12. 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 min while each minute has 60 sec. 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 12:40 am.

Solution: 89 deg

36 hours a day mane the clk will be of 18 hours.
18 hours covrs 360 deg
Thus 1 hour covrs 20 deg
12 hours covers 12*20=240 deg
ekhon,1 hour in 90 min
thus in 90min the hour hand goes 20deg
tai, for 1min hr hand goes 2/9deg
sei jonne, for 40 min hour hnd goes (2/9)*40deg=80/9deg=9deg(approx)
thus hr hand covrs total of 240+9=249deg
now min hand covrs=40*4=160deg
(karon, 90min=360deg
1min=4deg)

hus angle betwn them 249-160=89deg

Q13. 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. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that is not needed for the question) All of the following combinations are possible to make a perfume except:
1) Balsamic and Lilac
2) Woody and Lemon
3) MI mosaic and Woody
4) MI mosaic and Lilac

Solution: First is acceptable for perfume since balsamic and liliac are given to be present and second is also acceptable as lemon can be added with any of four, third is also acceptable as given in question left fourth is not acceptable as MI mosaic is always with woody and balsamic is always with liliac. Therefore combination of MI mosaic and liliac cant occur because woody and balsamic are never together

Q14: Alok and Bhanu play the following min-max game. Given the expression N = 15 + X*(Y â€“ 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?

Note: For this type of questions:
x+y-z=11
x-y-z=2
x*(y+z)=18
What should be the approach to do such type of prob?

Solution: This question was repeated 3 times for different cases

Yeah TCS has this 3 type of questions where there is

x+y-z,=11
x-y-z ==2
and x*(y+z)=18

If an integer is added to any of the above equations just add the integer to the value of the equations. For example in this case it would be 15+18=33. (don’t ask me for explanations why this value comes for those equations. It took me some gruelling sessions to understand that)

Q15. Consider two tumblers, the first containing Water and next contains coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler. Which one of the following statement holds now?

a) There is less coffee in the first tumbler than water in the second tumblers
b) There is more coffee in the firs tumbler than water in the second tumbler
c) There is as much coffee in the first tumbler as there is water in the second tumbler
d)None of the statements holds true

Solution: a
There is less coffee in the first tumbler than water

Q16. Shreya writes 1st 100 whole num. let A and B be the num of times she writes 0 and 9 respectively, find the value of A+B

Solution:

First 100 whole nos=0 to 99.
thus A=no.of 0’s=(0,10,20,30,40,50,60,70,80,90)=10
B=no. of 9’s=(9,19,29,39,49,59,69,79,89,90,91,92,93,94,95,9 6,97,98,99)=20
A+B=30

Q17. When my uncle died, he left a will instructing his executers to divide his estate of 19,80,000 in this manner.Every son should receive 3 times as much as a daughter and that evry daughter should get twice as much as their mother. what is my aunt’s maximum share if my uncle has atleast one son and one daughter?
(a) 19,80000 (b) 9,90,000 (c) 3,30,000 (d) 2,20,000 (e) 1,98,00

Solution:

1+2+6=9
1980000/9=220000
220000(mother)
440000(daughter)
1320000(brother)

Q18. There are 3 boys A,B,C and 2 girls D,E. D always sit right to A.girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. who is sitting immediate right to E?

Solution:

A D B E C
right of e is c

19) 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, Alice’s first move should be a 0-move.
b) In order to win, Alice’s first move should be a 1-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

Ans: (d)

In this type of que if the coin is at the 3 position (as here )then the answer is d otherwise at the 1 or second position of the coin the answer is always. No chance of winning ie C

20) There is a planet oz . The people there are four fingered and reside 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?

Ans: 4
At least 16 coins so the series is 16, (16+16/2)= 24 , (24+24/2)=36, (36+36/2)=54. Now next value of coin exceeds 64 so the number of coins is 4

22) 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

Ans: n

22) 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 d) B only

Ans: c

23) 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
Ans: 89

24) 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) 13 b) 18 c) 11 d) 12
Ans:18

25) The pace length 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 = pace length in meters. Bernard knows his pace length is 164cm. The formula applies to Bernard’s walking. Calculate Bernard’s walking speed in kmph.
a) 23.62 b) 8.78 c) 11.39 d) 236.16
Ans: 236.16 (144*1.64 m)

26) Anoop managed to draw 7 circles of equal radii with their centers 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.
c) 1Sad2+ 7v2) d) (2+ 7v2):1
Ans: b

27) 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 guilty

a) Neither A nor B
b) Both A and B
c) B only
d) only a
Ans: C

2Cool There are 1000 pillars for a temple. 3 friends Linda, Chelsea, Juli visited that temple. (Som unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Juli is shorter than Linda. Find the correct sentence?

a) Linda is shorter among them
b) Chelsea is taller than Juli
c) Chelsea is shorter than Juli
d) Cannot determine who is taller among Chelsea and Juli
Ans: d

Friends there is a trick of solving this questions any question in the paper of TCS that involves comparison the answer is always –cannot determine

29) Horse started to chase dog as it relieved stable two hrs. ago. And horse started to ran with average speed 22km/hr., horse crossed 10 mts road and two small pounds with depth 3m, and it crossed two small street with 200 mts length. After traveling 6 hrs., 2hrs after sunset it got dog. compute the speed of dog?

Ans: As we have speed and travel time of horse, we can get distance travelled by it.
Hence d = 22*6 = 132km,

Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).
Hence speed of dog = 132/8 = 16.5km/hr
Ans: 16.5km/hr.

30) 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 5 points in the plane in general position (.i.e. no three points in P lie on a line) is
a) 3 b) 5 c) 2

Ans: 5

Friends there is a trick of solving this questions any question in the paper of TCS that involves points separated by line with a set of points points each side the answer is the number of points in plane as 5 here the answer is always –cannot determine

31) Alok and Bhanu play the following min-max game. Given the expression
N =9+ 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) 0 b) 27 c) 18 d) 20
Ans: 20

Here it is X+Y-Z then add the 11 so ans is (11+9)=20

32). The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base Cool buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?
a) 54 b) 64 c) 265 d) 192
Ans: 192

Now come to interview part:

Technical Interview:

1. Digital electronics basic

2. Diodes basic

3. Terms like amplifier, IC, filter just their definition

4. C/C++

5. Different between 8085 and 8086

6. Communication basics

7. 1G, 2G, 3G, GSM, CDMA etc just basics

8. OSI layer model

9. LAN, WAN, MAN

10. Router and Topologies, TCP/IP model.

Be confident while replying and prepare technical well. Don’t go in deep just take overview of all subjects.

HR round:

Then for HR interview you must prepare yourself well. Some key questions that are asked are:

1. Strengths, weakness,

2. Hobbies

3. Extra co-curricular activities

4. Tell me about yourself:

5. What experience do you have in this field?

7. Are you a team player?

8. Why should we hire you?

9. What is your greatest strength?

10. Tell me about your dream job?

11. What is more important to you: the money or the work?

12. Are you willing to work overtime? Nights? Weekends?

13. Would you be willing to relocate if required?

14. Do you have any questions for TCS?