ABC26GN1368 · Square Roots and Cube Roots

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

Which number should replace both the question marks in the following equation? (Bank P.O., 2008) $\frac{?}{1776}=\frac{111}{?}$
(a)343
(b)414
(c)644
(d)543
(e)None of these
Answer
Answer (as printed): E
Explanation
$$\begin{aligned} & \text { Let } \frac{x}{1776}=\frac{111}{x} . \text { Then, } x^{2} \\ & \quad=111 \times 1776=111 \times 111 \times 16 \\ & \Rightarrow x=\sqrt{(111)^{2} \times(4)^{2}}=111 \times 4=444 . \end{aligned}$$

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

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