Evaluate $$\frac{(0.1 \times 0.1 \times 0.1 + 0.02 \times 0.02 \times 0.02)}{(0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04)}$$​​

Correct option is D

Given :

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

Solution :

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

= $$\frac{0.001 + 0.000008}{0.008+0.000064}$$

= $$\frac{0.001008}{0.008064}= 0.125$$

The correct answer is option (d) 0.125