Allied & ICAR Exam Bank • ALLIED_1849 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

The remainder when $(17^{200} + 1)$ is divided by 18 is:

Options:

  • (A) 2
  • (B) 1
  • (C) 0
  • (D) 17

Answer Key:

A

Step-by-Step Solution & Explanation

$17 \equiv -1 \pmod{18}$. So $17^{200} \equiv (-1)^{200} \equiv 1 \pmod{18}$. Thus $(17^{200} + 1) \equiv 1 + 1 = 2 \pmod{18}$.
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