Quantitative Aptitude Ques 465

Question: The remainder when $ 17^{200} $ is divided by 18, is

Options:

A) 0

B) 1

C) 2

D) 3

Show Answer

Answer:

Correct Answer: B

Solution:

  • We know that, $ (x^{m}-a^{m}) $ is divisible by $ (x+a) $ for even value of m.

$ \therefore $ $ (17^{200}-1^{200}) $ is divisible by $ (17+1) $ $ (17^{200}-1) $ is divisible by 18. When $ 17^{200} $ is divisible by 18, then the remainder is 1.

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