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AMO 2027 Grades 4-5 SET 14 - Self-study Question 15

AMO · AMO 2027 Grades 4-5 SET 14 - Self-study

Question 15

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