ABC26GN1756 · Problems on Numbers

Subject: General Aptitude · Chapter: Problems on Numbers · Exam: · Marks: · Difficulty:

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)Data inadequate
Answer
Answer (as printed): C
Explanation
$\mathrm{A}=2 \mathrm{B} \Rightarrow \mathrm{B}=\frac{1}{2} \mathrm{A}$. So, $\mathrm{AB}=\frac{2}{25}$ $$\Rightarrow \frac{1}{2} A^{2}=\frac{2}{25} \Rightarrow A^{2}=\frac{4}{25} \Rightarrow A=\frac{2}{5} .$$

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