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2017 AMC 10B Problem 14

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2017 AMC 10B Problem 14AMC 10 Step by Step
Name:                             Date: September 13, 2026
Modular Arithmetic · difficulty 3 of 5 · about 3 min · position P11-15

An integer NN is selected at random in the range 1≤N≤20201\leq N \leq 2020 . What is the probability that the remainder when N16N^{16} is divided by 55 is 11 ?

  1. A)

    15\frac{1}{5}

  2. B)

    25\frac{2}{5}

  3. C)

    35\frac{3}{5}

  4. D)

    45\frac{4}{5}

  5. E)

    11

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