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FMO 2021 - Grade 4 - International - Paper 10 - Sample Question 16

FMO · FMO 2021 - Grade 4 - International - Paper 10 - Sample

Question 16

There are 2021 people living on an island. Some always tell the truth, and the others always lie. Each day one person says, “After I have left the island, the number of truth-tellers will equal the number of liars.” That person then leaves. After 2021 days the island is empty. How many truth-tellers were there at the beginning?

Scoring note: the source calls this Star of hope. It has the same editorial practice value of 1 point here, with no deductions. No official historical bonus or penalty is claimed.