The average height of 22 toddlers increases by 2 inches when two of them leave this group. If the average height of these two toddlers is one-third the average height of the original 22, then the average height, in inches, of the remaining 20 toddlers is

A) 30

B) 28

C) 32

D) 26

Option (C)

From CAT 2017 – Quantitative Aptitude – Arithmetic – Averages, we can see that,

Average of 22 people = a/22

Let sum of heights of two people who left = x

From the question,

(a-x)/20 = a/22 + 2

On solving, we get x=a/33

Putting value of x in a, we get the value of a as 660

x=20

Average height of remaining 20 toddlers = (a-x)/20 = 32

Quantitative Aptitude – Arithmetic – Averages – Ques: A class consists of 20 boys and 30 girls. In the mid-semester examination, the average score of the girls was 5 higher than that of the boys.

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