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AMO 2019 – Secondary 3 (Grade 9) Question 7

AMO · AMO 2019 – Secondary 3 (Grade 9)

Question 7

A dog barks every $b$ minutes and a cat meows every $m$ minutes, where $b,m$ are primes satisfying $1\le b\le10$ and $10\le m\le20$. What is the greatest number of simultaneous calls in two hours? Timing clarification, as intended by the supplied solution: both start together at time $0$; count calls at $0<t\le120$, excluding the starting call.

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