Question

In a pair of fractions, fraction '$A$' is twice the fraction '$B$' and the product of two fractions is $\frac{2}{25}$. What is the value of fraction '$A$'?

A. $\frac{1}{5}$

B. $\frac{1}{25}$

C. $\frac{2}{5}$

D. None of these

• A. $\frac{1}{5}$
• B. $\frac{1}{25}$
• C. $\frac{2}{5}$
• D. None of these

Answer 1

The correct option is C : $\frac{2}{5}$

Here $A$ and $B$ be two fractions. So, we have

$A=2B,AB=\frac{2}{25}$

$\Rightarrow A\times \frac{A}{2}=\frac{2}{25}$
$\Rightarrow \frac{A^2}{2}=\frac{2}{25}$

$\Rightarrow A^2=\frac{2}{25}\times 2$
$\Rightarrow A^2=\frac{4}{25}$
$\Rightarrow A=\pm \sqrt{\frac{4}{25}}$

$\Rightarrow A=\frac{2}{5}$ [ As, $A$ cannot be $-\frac{2}{5}$]

Hence, the value of fraction $A$ is $\frac{2}{5}$.