The value of $\frac{(0.1×0.1 × 0.1 +0.02 × 0.02 × 0.02)}{(0.2×0.2×0.2+0.04 × 0.04 × 0.04)}$ is:

0.125

The correct answer is Option (2) → 0.125

$\frac{(0.1×0.1 × 0.1 +0.02 × 0.02 × 0.02)}{(0.2×0.2×0.2+0.04 × 0.04 × 0.04)}$

⇒\(\frac{0.1^3 + 0.02^3}{0.2^3 + 0.04^3}\)

⇒\(\frac{0.1^3 + 0.02^3}{2^3(0.1^3 + 0.02^3)}\)

⇒\(\frac{1}{8}\) = 0.125 Answer