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AIMO 2021 Primary 2 — Preliminary (Open Trial 1) Question 20

AIMO · AIMO 2021 Primary 2 — Preliminary (Open Trial 1)

Question 20

There are 216 balls. One of the balls is lighter than the others and the others carry equal weights. By using only a balance, at least how many times are needed to find the lighter ball?

Answer: __________________

Editorial clarification: find the minimum number of weighings that guarantees success in the worst case.