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2018 AMC 10A Problem 17

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2018 AMC 10A Problem 17AMC 10 Step by Step
Name:                             Date: September 13, 2026
Divisibility & Factors · difficulty 3 of 5 · about 5 min · position P16-20

Let SS be a set of 66 integers taken from {1,2,…,12}\{1,2,\dots,12\} with the property that if aa and bb are elements of SS with a<ba<b , then bb is not a multiple of aa . What is the least possible value of an element in SS ?

  1. A)

    22

  2. B)

    33

  3. C)

    44

  4. D)

    55

  5. E)

    77

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