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AIMO 2021 Primary 6 — Preliminary (Open Trial 1) Question 8

AIMO · AIMO 2021 Primary 6 — Preliminary (Open Trial 1)

Question 8

The remainder is 7 when a number is divided by 9. The remainder is 5 when it is divided by 7. The remainder is 1 when it is divided by 3. What is the number?

Original choices: A: 23; B: 102; C: 75; D: 100.

Answer-format convention: Give all positive solutions in the form $a+bk$, where $k=0,1,2,\ldots$.