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

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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, $\begin{array}{l}\Large\frac{0+2+5+9}{4}\\ =\Large\frac{16}{4}\\ =4\end{array}$

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