ABC26GN1366 · Square Roots and Cube Roots

Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: · Marks: · Difficulty:

If $\frac{52}{x}=\sqrt{\frac{169}{289}}$, the value of $x$ is
(a)52
(b)58
(c)62
(d)68
Answer
Answer (as printed): D
Explanation
$$\begin{aligned} & \frac{52}{x}=\sqrt{\frac{169}{289}} \\ & \Leftrightarrow \frac{52}{x}=\frac{13}{17} \\ & \Leftrightarrow x=\left(\frac{52 \times 17}{13}\right)=68 . \end{aligned}$$

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

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