√((?)/169)=54/39 · ABC26GN1378

Subject: General Aptitude · Chapter: Square Roots and Cube Roots

$\sqrt{\frac{?}{169}}=\frac{54}{39}$
(a)108
(b)324
(c)2916
(d)4800
Answer
Answer (as printed): B
Explanation
$$\begin{aligned} & \text { Let } \sqrt{\frac{x}{169}}=\frac{54}{39} \text {. Then, } \frac{\sqrt{x}}{13}=\frac{54}{39} \Leftrightarrow \sqrt{x}=\left(\frac{54}{39} \times 13\right)=18 \\ & \Leftrightarrow \quad x=(18)^{2}=324 . \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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