TCS Model Question Paper 2010

Company: Tata Consultancy Services (TCS)

TCS Model 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 = 9.

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 c) 30 d) 72

TCS Model 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 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 in 19 hours then, what is the time taken to fill up the tank completely?
a) 21 B) 38 c) 57 d) 76
TCS Model 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. Whats 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

TCS Model 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

TCS Model 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

TCS Model 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 cuboid 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

TCS Model 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

TCS Model 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

TCS Model 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 flavours. 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

TCS Model 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? Ans :-66

3. Inspired by Fibonacci series Sangeet decided to create his own series which is 1, 2, 3, 7, 7,22, 15, 67, 31, _, 63?
a) 202 b) 31 c) 76 d) 49

4. 3, 12, 7, 26, 15, ?
a) 54 b) 27 c) 108 d) 31

5. 1! + 2! + . + 50!=?
a)3.1035*10^64 b)2.1021*10^65 c)3.1035*10^63 d)3.1035*10^62

6. 1, 2, 3, 6, 7, 14, _, 32?

7. 5, 9, 12, 18, 26, 36, 47, 72, _?
a) 75 b) 135 c) 100 d) 55

8. 3, 15, x, 51, 53,159,161
a) 17 b) 34 c) 54 d) 112

TCS Model 12:
1. Simple question but big one on average age.sth like a, b, c weighted separately 1st a, b, c ,then a& b, then b & c ,then c & a at last abc, the last weight was 167,then what will be the average weight of the 7 reading?
a) 95 b) 95.428 c) 95.45 d) 94
Solution: Last weight abc is 167i.e three persons weight is 167 .in first 6 combinations a,b,c,ab,bc,ac i.e a checked weight for 3 times totally like that band c also so total weight in all 7 combinations is (4*167)
Average is (668/7)=95.42
TCS Model 13:
1. A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type?
a) 1 in 16 B) 1 in 4 c) 1 in 8 d) 1 in 32

Solution: Initially it produces 10 sounds and the defect came and now it produces only 2 different sounds and consecutively so there are totally 2 sounds and we have to select on sound and the probability is and it produces the same sound consecutively for 2 times so the probability becomes *1/2 ie

2. A car manufacturer produces only red and blue TCS Models which come out of the final testing area at random. What are the odds that five consecutive cars of same color will come throughthe test area at any one time?
a) 1 in 16 b) 1 in 125 c) 1 in 32 d) 1 in 25

TCS Model 15:
1. A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?
a) 280.5625 b) 240.5625 c) 280.125 d) 240

Solution: Add all sides 25+11+31 to get rope length rope length =67,rope is made in to as square. So side of square is 67/4=16.75 and so area is 16.75*16.75=280.5625

2. A triangle is made from a rope. The sides of the triangle are 21 cm, 24 cm and 28 cm. What will be the area of the square made from the same rope?
a) 280.5625 b) 333.0625 c) 333.0125 d) 400

TCS Model 16:
1. What is the distance between the z-intercept from the x-intercept in the equation
ax+by+cz+d=0
Solution: intercept form equation

2. What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).

TCS Model 17:
1. A scientist was researching on animal behaviour in his lab. He was very interested in analysing the behaviour of bear. For some reason he travelled 1mile in north direction & reached at North Pole. There he saw a bear. He then followed the bear around 1 hr with a speed of 2km/hr in east direction. After that he travelled in south direction & reached at his lab in2 hrs. Then what is the color of the bear?
a) White b) Black c) Gray d) Brown
Solution is: White. above all the matter is nonsense

TCS Model 18:

1. 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

TCS Model 19:
1. Usha bought a linen cloth and rope to build a tent. If the rope is 153 m long and it is to be cut into pieces of 1m length, then how many cuts are to be made to cut the ropes into 153 pieces?
a) 153 b) 152 c) 154 d) 155
Solution: To make it 153 pieces we have to cut 152 times so obviously after last cut we got 153rd piece

2. A person has to make 146 pieces of a long bar. He takes 4 seconds to cut a piece. What is the total time taken by him in seconds to make 146 pieces?
a) 584 b) 580 c) 730 d) 725
Solution: 146 pieces means 145 cuts so for each cut it takes 4 seconds means total time 145*4=580

3. A person has to make 141 pieces of a long bar. He takes 2 seconds to cut a piece. What is the total time taken by him in seconds to make 141 pieces?
a) 560 b) 280 c) 112 d) 324

TCS Model 20:

1. Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up. The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month?
a) $27 b) $18 c) $45 d) $486
Solution: See last 3 lines only answer is 45-27=18

TCS Model 21:
1. A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?
Solution: here we cannot consider depreciation or decay of item accto answer so go acc to
answer
Totally 5+10=15$profit

TCS Model 22:
1. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbour and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbour. 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: Loss= Change of money given to john(4$)+actual cycle cost 19$=23$ loss

TCS Model 23:
1. 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

2. 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?

3. A lady has fine gloves and hats in her closet- 13 blue, 27 red, and 40 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?

4. A lady has fine gloves and hats in her closet- 25 blue, 7 red, and 9 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?

5. A lady has fine gloves and hats in her closet- 26 blue, 30 red, and 56 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?

TCS Model 24:
1. Sangakara and Ponting select 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.

2. There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die forbatting selection. What is the possible solution among the following?
a) If no. is odd it is head, if no. is even it is tail
b) If no. is odd it is tail, if no. is even it is head
c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.

TCS Model 25:
1. In a family there are some boys and girls. All boys told that they are having equal no ofbrothers and sisters and girls told that they are having twice the no. of brothers than sisters.How many boys and girls present in a family?
a) 4 boys and 3 girls b) 3 boys and 4 girls c) 2 boys and 5 girls d) 5 boys and 2 girls

TCS Model 26:
1. 10 men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?
a) 22 b) 20 c) 10 d) none

2. There are 100 men and 100 women on the dance floor. They want to dance with each other. Then which of the following statements is always true:
a) There are 2 men who danced with equal no. of women’s
b) There are 2 women who danced with equal no. of men
a) both a and b b)only a c)only b d)none

TCS Model 27:
1. Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament 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 8 rounds played in knock out tournament, how many matches were played?
a) 257 b) 256 c) 72 d) 255
Solution: Do not know perfect logic 28

2. A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round?
a) 256 b) 512 c) 64 d) 128

TCS Model 28:
1. Metal strip of width cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is y. If z strips are placed in that manner. What is the final width of that arrangement?

2. A, B, C, D, E are there among A, B, C are boys and D, E are girls D is to the left of A and no girl sits at the middle and at the extemes. Then what is the order of their sittings.

TCS Model 29:
1. There is 7 friends (A1, A2, A3….A7).If A1 have to have shake with all without repeat. How many handshakes possible?
a) 6 b) 21 c) 28 d) 7
Solution: For handshakes type question i am confirming you that if the there are n membersare there Handshakes are given in linear manner =n-1(last person cannot give hand shake to first
person) Handshakes are given in cyclic manner =n(last person can give hand shake to first person) But i do not know perfectly for repetition it is nc2

2. 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?
a) 122 b) 66 c) 48 d)1 28