###
**If the Arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is**

A. 10
B. 12
C. 14
D. 16
**Answer: Option D**

## Show Answer

Solution(By Apex Team)

Arithmetic mean of 7, 5, 13, x and 9 = 10
$\begin{aligned}&\Rightarrow\frac{7+5+13+x+9}{5}=10\\
&\Rightarrow34+x=10\times5\\
&\Rightarrow34+x=50\\
&\Rightarrow x=50-34\\
&\Rightarrow x=16\end{aligned}$

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