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MathNet 2026 — Part 01 Question 66

Math Olympiad Vault · MathNet 2026 — Part 01

Question 66

In a desert there are snakes, rats and scorpions. Each morning, each snake kills a mouse. Every noon, each scorpion kills a snake. Each night, each mouse kills a scorpion. At the end of a week, at night, there was only one mouse left. How many rats were there in the morning at the beginning of the week?