Question
Quantitative Aptitude Question on Average
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
Answer
32
Explanation
Solution
The correct answer is (C):
Let the average height of the 20 toddlers be x inches. When the 2 toddlers are included, the average of the group comes down by 2, i.e. it becomes x - 2. Also, given, that the average height of the 2 toddlers is one-third of the average height of the 22 toddlers, viz. x - 2.
20(x)+2(x-2)/3/22 = x-2
Upon solving, x = 32 inches.