Question

The value of \( \frac{{{{\left( {263} \right)}^3} - {{\left( {527} \right)}^3} + {{\left( {264} \right)}^3}}}{{26.3 \times 52.7 \times 158.4}}\) is equal to:
1. -1000
2. -500
3. 1000
4. 500

Answer 1

Correct Answer - Option 2 : -500

Given:

\( \frac{{{{\left( {263} \right)}^3} - {{\left( {527} \right)}^3} + {{\left( {264} \right)}^3}}}{{26.3 \times 52.7 \times 158.4}}\)

Formula used:

If a + b + c = 0

Then, a³ + b³ +c³ = 3abc

Calculation:

Let a = 263, b = -527 and c = 264

a + b + c = 263 -527 + 264 = 0

So

\( \frac{{{{3 \times 263 \times (-527) \times 264}}}}{{26.3 \times 52.7 \times 26.4 \times 6}}\)

⇒ \(\frac{-1000}{2}\) = -500

∴ The correct answer is -500.