Exams › SSC CGL (Prelims) › General

Evaluate the expression (0.3^3 + 0.03^3) / (0.9^3 + 0.09^3).

1. 1/9
2. 1/27
3. 1/3
4. 1/81

Correct answer: 1/27

Solution

Because 0.9 = 3(0.3) and 0.09 = 3(0.03), the denominator equals 27 times the numerator: (3a)^3 + (3b)^3 = 27(a^3 + b^3). So the ratio is 1/27.

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