The value of \(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\) is:

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Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 3)

Answer 1

Given:

\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)

Concept used:

a3 - b3 = (a - b)(a2 + b2 + ab)

Calculation:

\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)

⇒ \(\frac{1.6^3-0.6^3}{1.6^2+1.6\times0.6+0.6^2}\)

⇒ \(\frac{(1.6-0.6)(1.6^2+1.6\times0.6+0.6^2)}{1.6^2+1.6\times0.6+0.6^2}\)

⇒ 1.6 - 0.6

⇒ 1

∴ The required answer is 1.