ABC26GN1493 · Square Roots and Cube Roots

Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: 2016 · Marks: · Difficulty:

The square root of $\frac{(0.75)^{3}}{1-0.75}+\left[0.75+(0.75)^{2}+1\right]$ is
(a)1
(b)2 [CDS 2016]
(c)3
(d)4
Answer
Answer (as printed): B
Explanation
Given: $\frac{(0.75)^{3}}{1-0.75}+\left[0.75+(0.75)^{2}+1\right]$ $$\begin{aligned} & =\frac{(0.75)^{2} \times 0.75}{0.25}+[0.75+0.5625+1] \\ & =0.5625 \times 3+[0.75+0.5625+1] \\ & =1.6875+2.3125=4 \end{aligned}$$ Square root of $4=2$

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

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