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2017 AMC 10B Question 14

AMC10 · 2017 AMC 10B

Question 14

An integer $N$ is selected at random in the range $1\leq N \leq 2020$ . What is the probability that the remainder when $N^{16}$ is divided by $5$ is $1?$
  1. $ \dfrac{1}{5} $
  2. $ \dfrac{2}{5} $
  3. $ \dfrac{3}{5} $
  4. $ \dfrac{4}{5} $
  5. $ 1 $