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ExamsSSC CGL (Prelims)General

What is the value of $(0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04)(0.4 \times 0.4 \times 0.4 + 0.08 \times 0.08 \times 0.08)$?

  1. 0.015
  2. 0.125
  3. 0.035
  4. 0.145

Correct answer: 0.125

Solution

We have $0.2^3 + 0.04^3 = 0.008 + 0.000064 = 0.008064$ and $0.4^3 + 0.08^3 = 0.064 + 0.000512 = 0.064512$. Their product is $0.008064 \times 0.064512 = 0.000520224$, which does not match the options as written; the intended simplified MCQ form is likely a standard factorization leading to $0.125$.

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