The value of ((0.1 × 0.1 × 0.1+0.02 × 0.02 × 0.02)/(0.2 × 0.2 × 0.2+0.04 × 0.04 × 0.04)) is · ABC26GN0783

Subject: General Aptitude · Chapter: Decimal Fractions · Exam: Hotel Management 2003; S.S.C. 2005

The value of $\left(\frac{0.1 \times 0.1 \times 0.1+0.02 \times 0.02 \times 0.02}{0.2 \times 0.2 \times 0.2+0.04 \times 0.04 \times 0.04}\right)$ is

(a)0.0125

(b)0.125

(c)0.25

(d)0.5

Answer

Answer (as printed): B

Explanation

Given expression $=\frac{(0.1)^{3}+(0.02)^{3}}{2^{3}\left[(0.1)^{3}+(0.02)^{3}\right]}=\frac{1}{8}=0.125$.

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

Study loop for Decimal Fractions