Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: 2005 · Marks: · Difficulty:
The value of $\sqrt[3]{\frac{0.2 \times 0.2 \times 0.2+0.04 \times 0.04 \times 0.04}{0.4 \times 0.4 \times 0.4+0.08 \times 0.08 \times 0.08}}$ is
(a)0.125
(b)0.25
(c)0.5
(d)0.75
Answer
Answer (as printed): C
Explanation
Given exp. $=\sqrt[3]{\frac{0.008+0.000064}{0.064+0.000512}}=\sqrt[3]{\frac{0.008064}{0.064512}}$ $$=\sqrt[3]{\frac{8064}{64512}}=\sqrt[3]{\frac{1}{8}}=\frac{1}{2}=0.5 .$$
Explanation as extracted from the printed page; notation may be imperfect.