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IMC 2008 — Keystage 3 (IWYMIC) — team Question 1

xIMC · IMC 2008 — Keystage 3 (IWYMIC) — team

Question 1

The fraction $p/q$ is in lowest terms and has decimal expansion $0.ababab\ldots$. Digits $a,b$ may coincide but cannot both be zero. How many different numerators $p$ are possible?