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IMC 2012 — Keystage 3 (IWYMIC) — team Question 8

xIMC · IMC 2012 — Keystage 3 (IWYMIC) — team

Question 8

A machine has three boxes, each initially with its red light off. After objects are inserted, a box lights only when its total weight is strictly less than both others; otherwise all lights remain off. Among seven balls, six have equal weight and one fake is lighter. Find the fake using the machine twice.