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SEAMO 2027 - Paper E - SET 05 - Self-study Question 22

SEAMO · SEAMO 2027 - Paper E - SET 05 - Self-study

Question 22

Let $\overline{37abc}$ be a five-digit decimal number such that $\overline{37abc}$, $\overline{37bca}$ and $\overline{37cba}$ are all divisible by 37. How many such five-digit numbers are there?

Source clarification: use the third suffix cba exactly as printed in the question. The source worked solution uses a different suffix, cab. Here a, b, c are decimal digits from 0 to 9 and may repeat.

Enter the number only.