If √(y)=4 x, then (x²)/y is [SSC-CHSL (10+2) Exam, 2015] · ABC26GN1478

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

If $\sqrt{y}=4 x$, then $\frac{x^{2}}{y}$ is [SSC-CHSL (10+2) Exam, 2015]
(a)2
(b)$\frac{1}{16}$
(c)$\frac{1}{4}$
(d)4
Answer
Answer (as printed): B
Explanation
Given $\sqrt{y}=4 x$ $\Rightarrow y=(4 x)^{2}=16 x^{2}$ $\Rightarrow y=16 x^{2}$ $\therefore \frac{x^{2}}{y}=\frac{1}{16}$

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

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