Allied & ICAR Exam Bank • ALLIED_1420 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

A solid metallic sphere of radius 6 cm is melted and recast into small spheres of radius 2 cm each. How many such small spheres are formed?

Options:

  • (A) 27
  • (B) 18
  • (C) 36
  • (D) 9

Answer Key:

A

Step-by-Step Solution & Explanation

Ratio of volumes $= (R / r)^3 = (6 / 2)^3 = 3^3 = 27$.
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