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TCS Placement Paper


TCS placement paper - 4



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

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

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

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?

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

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

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

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

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

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

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

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 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

Pattern 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

Pattern 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

Pattern 14:
1. A car manufacturer produces only red and blue models which come out of the final testing area at random.
What are the odds that five consecutive cars of same color will come through the test area at any one time?
a)1 in 16 b)1 in 125 c)1 in 32 d)1 in 25


Pattern 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

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

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

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).

Pattern 17:
1. A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior 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

Pattern 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

Pattern 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

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

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

Pattern 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