If 52/x=√(169/289), the value of x is · ABC26GN1366

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

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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