# Moderate Averages Solved QuestionAptitude Discussion

 Q. Which one of the following numbers can be removed from the set $S$ = {0, 2, 4, 5, 9} without changing the average of set $S$?
 ✖ A. 0 ✖ B. 2 ✔ C. 4 ✖ D. 5

Solution:
Option(C) is correct

The average of the elements in the original set $S$ is:

$\dfrac{0+2+4+5+9}{5}=4$

If we remove an element that equals the average, then the average of the new set will remain unchanged. The new set after removing 4 is {0, 2, 5, 9}.

The average of the elements is:

$\dfrac{0+2+5+9}{4}=4$

## (1) Comment(s)

Agha
()

What happens when the average is not equal to any element?