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HKIMO 2018 Grade 9 National Final (Heat) Set 04 Question 1

HKIMO · HKIMO 2018 Grade 9 National Final (Heat) Set 04

Question 1

Let A, B, C be three nonzero even digits. The three-digit numbers satisfy: $\overline{CBA}$ is divisible by 9, $\overline{CAB}$ is not divisible by 4, and $\overline{ABC}$ is not divisible by 8. Find $\overline{BCB}$.