Allied & ICAR Exam Bank • ALLIED_1372 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

The unit digit of $7^{95} - 3^{58}$ is:

Options:

  • (A) 4
  • (B) 0
  • (C) 6
  • (D) 2

Answer Key:

A

Step-by-Step Solution & Explanation

Cyclicity of 7 is 4: $95 \equiv 3 \pmod 4 \implies 7^3 = 343$, unit digit is 3. Cyclicity of 3 is 4: $58 \equiv 2 \pmod 4 \implies 3^2 = 9$, unit digit is 9. Unit digit = $13 - 9 = 4$.
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