### 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

## Show Answer

### Answer-C

Solution-

__Solution(By Apex Team)__

The average of the elements in the original set S is:
$\begin{array}{l}\Large\frac{0+2+4+5+9}{5}\\
=\Large\frac{20}{5}\\
=4\end{array}$
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,
$\begin{array}{l}\Large\frac{0+2+5+9}{4}\\
=\Large\frac{16}{4}\\
=4\end{array}$