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MathNet 2022-part-06 — 196 problems (EN–VI) Question 26

Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)

Question 26

On Semi-Predictable Island, everyone is either a liar (who always lies), a truth-teller (who always tells the truth), or a spy (who could do either). Aerith encounters three people and knows that one is a liar, one a truth-teller, and one a spy. She can ask two yes-or-no questions, and all three of them will answer each question. Can she determine which person is which?