Question

If $\frac{1}{5}:\frac{1}{x}=\frac{1}{x}:\frac{1}{125}$ then the value of x is

• A. $15$
• B. $20$
• C. $25$
• D. $35$

Answer 1

The correct option is C $25$

$\frac{1}{5}:\frac{1}{x}=\frac{1}{x}:\frac{1}{125}$
$\frac{1}{x}\times \frac{1}{x}=\frac{1}{5}\times \frac{1}{125}$
$\frac{1}{x^2}=\frac{1}{625}$
$x^2=625$
$x=25$