Allied & ICAR Exam Bank • ALLIED_2326 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

What is the last two digits of $7^{2024}$?

Options:

  • (A) 01
  • (B) 49
  • (C) 43
  • (D) 07

Answer Key:

A

Step-by-Step Solution & Explanation

$7^4 = 2401 \equiv 1 \pmod{100}$. Since $2024$ is a multiple of 4, $7^{2024} = (7^4)^{506} \equiv 1^{506} = 01 \pmod{100}$.
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