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2021 AMC Fall 10A Problem 8

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2021 AMC Fall 10A Problem 8AMC 10 Step by Step
Name:                             Date: September 13, 2026
Bases & Digits · difficulty 2 of 5 · about 3 min · position P1-10

A two-digit positive integer is said to be cuddly\emph{cuddly} if it is equal to the sum of its nonzero tens digit and the square of its units digit. How many two-digit positive integers are cuddly?

  1. A)

    00

  2. B)

    11

  3. C)

    22

  4. D)

    33

  5. E)

    44

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