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MathNet 1991 — Part 01 Question 47

Math Olympiad Vault · MathNet 1991 — Part 01

Question 47

An investigator works out that he needs to ask at most $91$ questions on the basis that all the answers will be yes or no and all will be true. The questions may depend upon the earlier answers. Show that he can make do with $105$ questions if at most one answer could be a lie.