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SASMO 2018 Primary 5 (Grade 5) Contest Question 14

SASMO · SASMO 2018 Primary 5 (Grade 5) Contest

Question 14

Amy, Bob, Chris and Doris are either truth-tellers or liars. Amy says exactly one is a liar; Bob says exactly two; Chris says exactly three; Doris says all four. If at least one statement is true, which tribes do they belong to?

Question illustration
  1. A and B truth-tellers; C and D liars
  2. B and C truth-tellers; A and D liars
  3. A and C truth-tellers; B and D liars
  4. Chris truth-teller; Amy, Bob, Doris liars
  5. Chris and Doris truth-tellers; Amy and Bob liars