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AMO 2027 Grades 2-3 SET 13 - Self-study Question 13

AMO · AMO 2027 Grades 2-3 SET 13 - Self-study

Question 13

Amy, Bob and Chris each belong to one of the two tribes: truthtellers, people who always tell the truth and liars, people who always lie. Amy and Bob made the following the statements:

Amy: “All of us are liars.”

Bob: “Exactly one of us is truthteller.”

Which tribe does each of them belong to?
  1. Chris – Truthtellers, Bob – Liars, Amy – Truthtellers
  2. Chris – Truthtellers, Bob – Liars, Amy – Liars
  3. Chris – Liars, Bob – Liars, Amy – Truthtellers
  4. Chris – Liars, Bob – Truthtellers, Amy – Liars
  5. None of the above