ABC26GN1389 · Square Roots and Cube Roots

Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: 2003 · Marks: · Difficulty:

$\sqrt{1+\frac{55}{729}}=1+\frac{x}{27}$, then the value of $x$ is
(a)1
(b)3
(c)5
(d)7
Answer
Answer (as printed): A
Explanation
$$\begin{aligned} & \sqrt{1+\frac{55}{729}}=1+\frac{x}{27} \Rightarrow \sqrt{\frac{784}{729}}=\frac{27+x}{27} \\ & \Rightarrow \frac{28}{27}=\frac{27+x}{27} \Rightarrow 27+x=28 \Rightarrow x=1 \end{aligned}$$

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

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