Allied & ICAR Exam Bank • ALLIED_1852 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

How many positive factors of $2^4 \times 3^3 \times 5^2$ are even numbers?

Options:

  • (A) 48
  • (B) 54
  • (C) 60
  • (D) 36

Answer Key:

A

Step-by-Step Solution & Explanation

Total factors = $(4+1)(3+1)(2+1) = 60$. Odd factors (powers of 3 and 5 only) = $(3+1)(2+1) = 12$. Even factors = $60 - 12 = 48$.
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