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TCS Question Bank



The recruitment process consisted of 3 rounds:
1. Aptitude
2. Technical Interview
3. HR Interview


Aptitude round:There were 35 questions. Duration: 80 minutes.


1. 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 coins the third coin from the top. Then:-
• In order to win, Alice's first move should be a 0-move.
• In order to win, Alice's first move can be a 0-move or a 1-move.
• In order to win, Alice's first move should be a 1-move.
• Alice has no winning strategy.

2. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumoured 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 rumours 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?
• 4/9
• 1/9
• 2/3
• 5/3

3. There are 2 cans A and B one of milk and other of Water resp. both of same qty..First one teaspoon of milk from A can was added to B can. Then one teaspoon from B can was added to A can then which of the following is true...
• Can A contain more milk than water in can B
• Can A contain less milk than water in can B
• both contain same qty of milk and water
• No change in both the can

4. There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, Woody and Mimosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and Mimosaic 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's not needed for the question.) All of the following combinations are possible to make a perfume EXCEPT:
• Balsamic and Lilac
• Woody and Lemon
• Mimosaic and Woody
• Mimosaic and Lilac

5. 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
• 27
• 0.0
• 20
• 18

6. 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?
• The even numbered statements are true and the odd numbered are false.
• The first 13 statements are true and the rest are false.
• The first 26 statements are false and the rest are true. 
• The odd numbered statements are true and the even numbered are false.

7. 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 or the leftmost suspect is innocent. 
B. All suspects are lying and the leftmost suspect is innocent . 
• B only 
• Neither A nor B
• A only
• Both A and B

8. The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 10. A certain street in nigiet contains 1000 (in base 10) buildings numbered 1 to 1000. How many 6s are used in numbering these buildings?
• 64
• 192
• 54
• 256

9. 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
• 0
• 4
• 3
• 1

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
• 13
• 12
• 18
• 11

11. 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?
• 500
• 625
• 3125
• 375

12. 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 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?
• 6
• 12
• 18
• 72

13. 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?
• 12/1212
• 0
• 1/12
• 11/12

14. 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?
• 1
• 0.75
• 0.5
• 0.25

15. 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?
• 5
• 37.80
• 40
• 8

16. A greengrocer was selling apple at a penny each, chickoos at 2 for a penny and peanuts at 3 for a penny. A father spent 7p and got the same amount of each type of fruit for each of his three children. What did each child get?
• 1 apple, 1 chickoos, 1 peanut
• 1 apple, 2 chickoos, 2 peanuts
• 1 apple, 3 chickoos, 2 peanuts
• 1 apple, 2 chickoos, 1 peanuts

17. 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 enjoyed great success. Rohit once bought a Ferrari. It could go 2 times as fast as Mohit's old Mercedes. If the speed of Mohit's Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952 km, find the total time taken for Rohit to drive that distance.
• 14.88
• 476
• 29.75
• 15.88

18. The difference between the ages of two of my three grandchildren is 3. My eldest grandchild is three times older than the age of my youngest grandchild and my eldest grandchild's age is two years more than the ages of my two youngest grandchildren added together. How old is my eldest grandchild?
• 15
• 12
• 13
• 10

19. 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
• 3 /4
• 37/88
• 1 /2 
• 14/19

20. The teacher is testing a student's 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?
• 6
• 12
• 18
• 21

21. One day Rapunzel meets Dwarf and Byte in the Forest of forgetfulness. She knows that Dwarf lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the other days of the week. Byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Rapunzel - Dwarf: Yesterday was one of those days when I lie. Byte: Yesterday was one of those days when I lie too. What day is it?
• Sunday
• Thursday
• Monday
• Wednesday

22. 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 1/32 of B's volume is filled after 3 hours, what is the total duration required to fill it completely?
• 7
• 8
• 9
• 10

23. 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?
• 800
• 500
• 488
• 550

These are the questions which I could remember. Among these questions some of them were repeated two to three times with different data’s. 


Technical Interview


The technical round went for about 20-30 minutes. It was very simple. 


• Tell me about yourself


• What is your area of interest


• Other than academics your interest


• Relate C, C++, Java, .Net with a simple program(They asked from the programming languages i gave in the resume) 


• Why java is Platform Independent


• Virtual function


• What is IMS


• Draw Circular linked list, real time example


• What is Inheritance with Real time example


• Relate types of inheritance with real time examples


• Interviewer was seeing my mark sheets, from the subjects I have learned in the previous semester she asked questions like.


- What u know in system software


- Topology with real time example


- What is LAN, WAN, MAN


- What Kind of network is BSNL 


• What is a protocol? types of protocol


• Https


• Explain your project


Then she asked me do you  have any questions?? 
And I asked here some of the things...
She explained it clearly.
Then she wished me all the best...
That’s it... My technical round was over

 


HR Interview:


There were two people interviewing me...

 


• Tell me about yourself
• Why TCS
• What are TCS Values?
They asked me only these much questions, and said u may leave... Thank u 
I wished them the same and left the panel. It got over by 24th 7.00pm
For some of them after aptitude there were only one round but it was combined (Technical + HR)
I was a bit a nervous about the result.
And on 25th 5.30 pm they announced the results. And I was one among the selected candidates.

So TCS Interview process is very simple. You may get through it very easily. All the very best wishes!

TCS 2011 placement paper pattern and questions asked

Selection process:
1) Written Test 
2) Technical cum HR interview.
Written Test: Written test consists of 35 questions 80min,previously it is 60min but now time they increased 20min.It is a online test .


Pattern 1: 
1. (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

2. (1/3) of a number is 3 more than the (1/6) of the same number? 
a) 6 
b)16 
c)18 
d)21

3. (1/3) of a number is 6 more than the (1/6) of the same number? 
a) 6 
b)18 
c)36 
d)24

4. (2/3) of a number is 4 more than the (1/6) of the same number? 
a) 6 
b)8 
c)36 
d)24

5. (1/3) of a number is 5 more than the (1/6) of the same number? 
a) 6 
b)36 
)30 
d)72

Pattern 2: 
1. 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.

2. There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20 liters in same time. Likewise B can fill 10, 20, 40, 80, 160…... If B filled in 1/16 of a tank in 3 hours, how much time will it take to fill the tank completely? 
a) 9 
B)8 
c)7 
d)6

3. 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. 1/8 th of the tank B is filled in 22 hours. What is the time to fill the tank fully? 
a) 26 
B)25 
c)5 
d)27

4. A tank is filled with water. In first hour 10 liters, second hours 20 liters, and third hour 40 liters and so on…If time taken to fill ¼ of the tank if 5 hours. What is the time taken to fill up the tank? 
a) 5 
B)8 
c)7 
d)12.5

5. If a tank A can be filled within 10 hours and tank B can be filled ¼ in 19 hours then, what is the time taken to fill up the tank completely? 
a) 21 
B)38 
c)57 
d)76

Pattern 3:
1. 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) 43 
b)69 
c)52 
d)31
Solution: Total age of 6 persons is x hours,after two years total age of 6 persons is x+12 Average age of 6 persons is after two years is 43 So (x+12)/6=43,then solve x, After 7th person is added then (x+7th person age)/7=45 So we will get 7th person age easily

2. In a market 4 men are standing. The average age of the four before 4years is 45, after some days one man is added and his age is 49. What is the average age of all? 
a) 43 
b)45 
c)47 
d)49

3. In a shopping mall with a staff of 5 members the average age is 45 years. After 5 years a person joined them and the average age is again 45 years. What’s the age of 6th person? 
a) 25
b)20 
c)45 
d)30

4. In a market 4 men are standing .The average age of the four before 2 years is 55, after some days one man is added and his age is 45. What is the average age of all? 
a) 55 
b)54.5 
c)54.6
d)54.7 

Pattern 4: 
1. In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader? 
a)8 
b)none 
c)16 
d)15 
Solution: 23 reading spots, Each reading spot consists of 9 chairs placed around it so There are some readers such that in each occupied reading spot there are different numbers of readers. For each table different no of persons are sat,so for first table 1 person is sit,2nd table 2 persons are sit 36 readers means(1+2+3+4+5+6+7+8 so 8 tables are filled so 23-8=15 reading spots does not have single reader.

2. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many tables will be left out without at least 1 person? 
a) 8 
b)6 
c)2 
d)7 

3. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank? 
a) 8 
b)6 
c)2 
d)7 

Pattern 5:
1. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey? 
a) 2.4 mph 
b) 4.8 mph 
c) 4 mph 
d) 5 mph
Solution: Average speed=(2*x*y)/(x+y)

2. A man travels from A to B at 4 mph over a certain journey and returns over the same route to A, at 5 mph. What is his average speed for the journey? 
a) 4.44 mph 
b) 4.8 mph 
c) 4.887 mph 
d)5 mph

3. A person is rock climbing at an altitude of 800 m. He go up by 7 mph. and come down by 9 mph. what was his average speed? 
a) 7.875 mph 
b) 7.125 mph 
c) 7mph 
d) 7.5 mph

4. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m? 
a) 28.8 mph 
b) 27.8 mph 
c) 27.5mph 
d) 30 mph

5. Person travels to a hill, if he goes from A to B with speed of 4kmph and returns back to B with speed of 5kmph. What is his average speed of journey? 
a) 4.5kmph 
b) 4.44kmph 
c) 9kmph 
d) 4.245kmph

6. A man travels from A to B at 70 mph over a certain journey and returns over the same route to A, at 80 mph. What is his average speed for the journey? 
a) 74.66 
b)75 
c)74.33 
d)74.99 7. 

Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m. 
a) 28.8 
b)28 
c)27 
d)28.6

Pattern 6 
1. Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block? 
a) 114 
b) 135 
c) 21 
d) 71 
Solution: I do not know perfectly but I got some solutions from internet I do not know correctly whether it is tru e or not,((3*9*5))-((3-2)*(9-2)*(5-2)) so answer is 114.

2. A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed? 
a) 2000 
b) 5000
c) 3000 
d) 7000 

3. Smita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube looking of the same shape? 
a) 98 
b) 104 
c) 100 
d) 61 

4. Leena cut small cubes of 10 cm dimension each. She joined it to make a cuboid of length 100 cm, width 50 cm and depth 50 cm. How many more cubes does she need to make a perfect cube? 
a)500 
b)250 
c)750 
d)650

5. Leena cut small cubes of 3 cubic cm each. She joined it to make a cuboid of length 10 cm, width 3 cm and depth 3 cm. How many more cubes does she need to make a perfect cube? 
a) 910 
b) 250 
c) 750 
d) 650 

6. A lady builds 9cm length, 10cm width,3cm height box using 1 cubic cm cubes. What is the minimum number of cubes required to build the box? 
a) 730 
b) 270 
c) 720 
d) 310 

Pattern 8: 
1. (40*40*40 – 31*31*31)/(40*40+40*31+31*31)=? 
a)8 
b)9 
c)71 
d)51
Solution: a3 -b3 =(a-b)*(a2+a*b+b2) so from this formula we will find (a-b) value

2. (98*98*98 – 73*73*73)/( 98*98*98 – 73*73*73)=? 
a).171 
b).4 
c).420 
d).415

3. (209*144)^2 + (209*209)+(209*144)+(144*144) = ? 
a)905863729 
b)905368729 
c)905729368 
d)65 

Pattern 9: 
1. ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2 
a)8 
b)none 
c)16 d)15
Solution: substitute x=4y in above we can find solution

2. x/2y = 2a,then 2x/x-2ay=? 
a)4 
b)8 
c)16 
d)2

3. 3X/5Y = 5Y/3X…..Find the value of X/Y 
a)3/5 
b)5/3 
c)2/5 
d)5/2

4. What is the value of (3X+8Y)/(X-2Y),if X/2Y=2
a)8 
b)none 
c)10 
d)13

5. (4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2 
a)48/5 
b)46/5 
c)47/5 
d)49/5

6. ((4x+2y)/(4x-2y)= ? as (x/2y) = 2 
a)8/7 
b)9/7 
c)11/7 
d)6/7 

Pattern 10: 
1. A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings? 
a)16 
b)56 
c)112 
d)28
Solution: 8c2

2. A pizza shop made pizzas with many flavors. There are 10 different flavors, in that 7 flavors are taken to make pizza. In how many ways they can arrange? 
a)240 
b)120 
c)65 
d)210

3. A pizza shop made pizzas with many flavors. There are 9 different flavors, in that 2 flavors are taken to make pizza. In how many ways they can arrange? 
a)16 
b)26 
c)36 
d)46 

Pattern 11: 
1. 3, 22, 7, 45, 15,? , 31 
a)91 
b)151 
c)90 
d)5

2. 8 6 17 14 35 31 75 _ 143? 3. Inspired by Fibonacci series Sangeet decided to create his own series which i

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