CMAT Exam 2023 Shift 2 Solved Paper

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Question : 9 of 100

Marks: +1, -0

Let

{\a}, {\b}

and

{\c}

be the ages of three persons

{\P}, {\Q}

and

{\R}

respectively where

{\a} ≤ {\b} ≤ {\c}

are natural numbers. If the average age of

P, Q, R

is 32 years and if the age of

Q

is exactly 6 years more than that of

P

, then what is the minimum possible value of

c

?

34 years
36 years
38 years
32 years

Solution:

It is given,

{\a}+ {\b}+ {\c}=96 \;\text " and "\; a ≤ b ≤ c

It is also given that age of

Q

is 6 years more than the age of

P

, i.e.

b=a+6

Minimum value

c

can take is equal to

b

, i.e.

a+6

\;a+a+6+a+6=96

\;3 a=84

\;a=28

Minimum possible value of

c=28+6=34

years
The answer is option A.

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