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WBCS Preliminary Examination 2016 — General Studies · Question 159 of 200

Q159
ArithmeticNumber System, LCM/HCF & Divisibility
If $17^{200}$ is divided by 18, the remainder is
  1. a.16.
  2. b.17.
  3. c.5.
  4. d.1.

Answer: (D) 1.

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

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If 17^{200} is divided by 18, the remainder is — WBCS Preliminary Examination 2016 Q159 | Prostuti360°