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CDS 2022 · PYQ · Algebra · medium

What is the value of ((5.4)³ - 0.064)/((5.4)² + 2·16 + 0·16)?

  1. A.4
  2. B.5.4
  3. C.4.4
  4. D.5✓ Correct

Explanation

Using a³-b³ = (a-b)(a²+ab+b²) with a=5.4, b=0.4: numerator = (5.4-0.4)(5.4²+5.4×0.4+0.16) = 5×(denominator). So answer is 5.
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