2018 AMC 8

Complete problem set with solutions and individual problem pages

Problem 7 Easy

The 5-digit number \underline{2} \underline{0} \underline{1} \underline{8} \underline{U} is divisible by 9. What is the remainder when this number is divided by 8?

  • A.

    1

  • B.

    3

  • C.

    5

  • D.

    6

  • E.

    7

Answer:B

We use the property that the digits of a number must sum to a multiple of 9 if it are divisible by 9. This means 2+0+1+8+U must be divisible by 9. The only possible value for U then must be 7. Since we are looking for the remainder when divided by 8, we can ignore the thousands. The remainder when 187 is divided by 8 is \boxed{\textbf{(B) }3}.

Related Problems
Problem 5 2018 AMC 8
Problem 6 2018 AMC 8
Problem 8 2018 AMC 8
Problem 9 2018 AMC 8
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