Allied & ICAR Exam Bank • ALLIED_1531 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

The remainder when $2^{31}$ is divided by 5 is:

Options:

  • (A) 3
  • (B) 2
  • (C) 4
  • (D) 1

Answer Key:

A

Step-by-Step Solution & Explanation

$2^1=2, 2^2=4, 2^3=8\equiv 3, 2^4=16\equiv 1 \pmod 5$. $31 = 4 \times 7 + 3 \implies 2^{31} \equiv 2^3 \equiv 8 \equiv 3 \pmod 5$.
← Previous (ALLIED_1530) Next (ALLIED_1532) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test