If √(1+x/169)=14/13, then x is equal to · ABC26GN1388

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

If $\sqrt{1+\frac{x}{169}}=\frac{14}{13}$, then $x$ is equal to

(a)1

(b)13

(c)27

(d)None of these

Answer

Answer (as printed): C

Explanation

$$\begin{aligned} & \sqrt{1+\frac{x}{169}}=\frac{14}{13} \Rightarrow 1+\frac{x}{169}=\frac{196}{169} \\ & \Rightarrow \frac{x}{169}=\left(\frac{196}{169}-1\right)=\frac{27}{169} \Rightarrow x=27 \end{aligned}$$

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

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