Question

The median of $\frac{x}{5},\frac{x}{4},\frac{x}{3},\frac{x}{2},x$ $\left(x>0\right)$ is $8$, then the value of $x$ is

• A. $24$
• B. $32$
• C. $8$
• D. $16$
• E. $40$

Answer 1

The correct option is A

$24$

Explanation for the correct option:

Find the value of $x$.

A series $\frac{x}{5},\frac{x}{4},\frac{x}{3},\frac{x}{2},x$ is given and the median of the given series is $8$.

Since the given series has five terms, so the third term will be median.

So,

$$\begin{gathered} \frac{x}{3}=8 \\ \Rightarrow x=24 \end{gathered}$$

Therefore, the value of $x$ is $24$.

Hence, option $A$ is the correct answer.