Allied & ICAR Exam Bank • ALLIED_2329 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

How many positive integers less than 100 are coprime to 100?

Options:

  • (A) 40
  • (B) 50
  • (C) 45
  • (D) 36

Answer Key:

A

Step-by-Step Solution & Explanation

Euler's totient function $\phi(100) = 100(1 - 1/2)(1 - 1/5) = 100 \times (1/2) \times (4/5) = 40$.
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