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IMAS 2022–2023 — Upper Primary — Round 2 Question 6

IMAS · IMAS 2022–2023 — Upper Primary — Round 2

Question 6

Four cog wheels are in constant mesh. The largest cog has 650 teeth, the next 425 teeth, the next 300 teeth and the smallest has 150 teeth. If they start revolving now, how many revolutions will the largest cog have made before they are all turn back to their original positions at the same time for the first time? (The diagram below is an example of a cog set)

Question illustration

Give the number of revolutions.