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UKMT Pink Kangaroo, 2021

Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

The number 2021 has a remainder of 5 when divided by 6, by 7, by 8, or by 9. How many positive integers are there, smaller than 2021, that have this property?

(A) $4$ (B) $3$ (C) $2$ (D) $1$ (E) none

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