Allied & ICAR Exam Bank • ALLIED_2425 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

If the volume of a sphere increases by 72.8%, the percentage increase in its surface area is:

Options:

  • (A) 44%
  • (B) 40%
  • (C) 36%
  • (D) 48%

Answer Key:

A

Step-by-Step Solution & Explanation

Volume factor $= 1.728$. Radius factor $= (1.728)^{1/3} = 1.20$ (20% increase). Area factor $= (1.20)^2 = 1.44$ (44% increase).
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