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Placement Papers And Jobs Help FREE E-Book
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Section I – Placement Papers Section
TCS Sample Questions
1) 5 Men are living in a home. The average age of the five men before 5 years was 55.
After P years, one man aged 50 joins with others in the house which makes the average
age 60. Find the value of P.
Options
a) 4
b) 3
c) 2
d) 7
Answer: a) 4
Explanation:
Let the total age of 5 men be X.
Then the average age of 5 men before 5 years = (X - number of years x number of men)
/ number of men = (X - 3x5)/5 = (X-15)/5 = 55
Then X = 55 x 5 + 15 = 290. That is, presently the total age = 290.
After P years, the total age of the 5 men becomes X + 5xP = 290 + 5xP.
One man aged 50 joins with them. Therefore the average becomes (Total age of 5
original men after P years + Age of new man) / Total number of men = (290 + 5P + 50)/
(5+1) = 60
or 5P = 360 - 340 = 20
p = 20/5 = 4
Therefore, 4 years is our required answer.
2) A boy has several colored balls in his bag - 12 white, 15 orange and 25 pink. The
lights are out and it is totally dark. Now, how many balls he must take out to make sure
that he has a pair of each color?
Options
a) 40
b) 42
c) 6
d) 12
Answer: b) 42
Explanation:
In this problem, the worst case scenario will be as follows.
Step 1: He picks all of same colored balls of the largest group. The largest group is pink.
Therefore, he will be picking all 25 pink balls first.
Step 2: Then he picks all of same colored balls of the next largest group. The second
largest group is Orange. Therefore, he will be picking 15 orange balls.
Step 3: Now, if he starts picking the remaining balls which are white, he could very well
stop at 2 balls as he would be having a pair of white ball anyway.
Therefore total picks = 25 + 15 + 2 = 42.
Shortcut:
If confused, for these kinds of problems you have to add higher values first + 2, leaving
the least group. Here least group is white.
Therefore our answer will be 25 pink + 15 orange + 2 = 42
Hence the answer is 42.
3) 4 equal aged boys and 6 equal aged girls were regularly attending a guitar class. 22
is the average age of all and 56 is the age of two boys and three girls. After 3 years a
boy is replaced by a new boy aged 15. Now, what will be the average age of boys?
Options
a) 13.5 years
b) 15.4years
c) 16.3 years
d) 14 years
Answer: a) 13.5 years.
Solution:
Let X and Y be the age of a boy and a girl respectively.
Given that 22 is the average age of all.
Then 4X/4 + 6Y/6 = 22
i.e., X + Y = 22 ...eqn1
Also given that, 56 is the age of two boys and three girls.
Then, 2X + 3Y = 56 ...eqn2
Solving the above equations, we get X=10, Y=12.
That is, the age of each boy is 10 and age of each girl is 12.
After 3 years, 1 among 4 boys leaves the group but replaced by a new 15 year old boy.
Sum of the ages of 3 left over boys + new boy = Ages of original 3 boys after 3 years +
Age of new boy = 3(X+3) + 15 = 3x13 + 15 = 54 years.
Their average age = Total Age / 4 = 54/4 = 13.5 years.
13.5 Years is our answer.
4) Find the most appropriate meaning for the word ‘Correlate’.
Options:
a. to join
b. to match
c. to refer
d. to fix
Answer: b. to match
Correlate is to match, observe or compare two or more different things. For example, in
India illiteracy and poverty can be correlated to each other.
5) Find the most appropriate meaning for the word ‘Volatile’.
Options:
a. Oscillate
b. Transient
c. Penetrate
d. Light
Answer: b. Transient.
Transient can be used to refer something that is temporary and volatile.
6) When 8 is subtracted out from two third of X, the result is 25 more than one third of X.
Find the largest prime number which is less than X.
Options:
a) 113
b) 97
c) 89
d) 131
Answer: b) 97
Solution:
Part-1: To find X.
Below equation can be formed based on the data in question.
(2/3)x X - 8 = 25 + 1/3 x X
(2/3)x X - (1/3)x X = 25+8
X/3 = 33
X=99.
Part-2: To find the required prime
97 is the largest prime number which is lesser than 99. Hence 97 is the answer.
7) 6 reduced from 1/5 of a number is 7 reduced from half of the same number. Find the
number.
Options
a)10/3
b)22/3
c)7/3
d)none of these
Answer: a) 10/3
Solution:
X/5 - 6 = X/2 - 7
(X-30)/5 = (X-14)/2
2X-60 = 5X-70
5X-2X = 70-60
3X = 10
X = 10/3
8) Ideal Toy company, New York brought out two models – one rectangle and another
hexagon in shape. The area of the two are same. The base and height of the triangle are
48” and √3” respectively. Find the length of each of the sides of the hexagon.
Options:
a) 2”
b) 4”
c) 24”
d) 8”
Answer: b) 4”
Solution:
Area of triangle = 1/2 x base x height = 1/2 x 48 x √3 = 24√3 sq. inches
Since, the areas of a triangle and hexagon are equal , Area of hexagon = 24√3 sq.
inches ..(1)
If the side of the hexagon is X inches, then its area = (3√3/2 )r2 ...(2)
Since equations 1 and 2 equal,