Exams › SSC CGL (Prelims) › General

What is the value of $(0.13^3 + 0.013^3) \div (0.53^3 + 0.053^3)$?

1. 0.025
2. 0.125
3. 0.05
4. 0.008

Correct answer: 0.008

Solution

We have $0.13^3 = (13\times10^{-2})^3 = 13^3\times10^{-6}$ and $0.013^3 = (13\times10^{-3})^3 = 13^3\times10^{-9}$. Similarly, the denominator becomes $53^3\times10^{-6} + 53^3\times10^{-9}$. After factoring, the ratio simplifies to $\left(\frac{13}{53}\right)^3 \approx 0.008$.

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