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2015 AMC 10B Problem 15

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2015 AMC 10B Problem 15AMC 10 Step by Step
Name:                             Date: September 13, 2026
Diophantine Equations · difficulty 3 of 5 · about 4 min · position P11-15

The town of Hamlet has 33 people for each horse, 44 sheep for each cow, and 33 ducks for each person. Which of the following could not possibly be the total number of people, horses, sheep, cows, and ducks in Hamlet?

  1. A)

    4141

  2. B)

    4747

  3. C)

    5959

  4. D)

    6161

  5. E)

    6666

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