Exams › SSC CGL (Prelims) › General

Find the value of \((0.033^3 + 0.006^3) \div (0.3^3 + 0.06^3)\).

1. 0.1
2. 0.01
3. 0.001
4. 0.0001

Correct answer: 0.001

Solution

Write 0.033 = 33×10^-3 and 0.006 = 6×10^-3, while 0.3 = 3×10^-1 and 0.06 = 6×10^-2. After cubing and simplifying, the numerator becomes 10^-9(33^3+6^3) and the denominator becomes 10^-3(3^3+6^3), giving a factor of 10^-6 times a ratio that simplifies to 10^-3. Hence the value is 0.001.

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