On an island each person either always tells the truth or always lies. Kiran says: "Chloe is a liar." Dev says: "Kiran and Chloe are both truth-tellers." Chloe says: "Dev is a truth-teller." Which of the following is correct?
Answer and explanation
Correct answer: B. Truth-tellers: Kiran; liars: Dev and Chloe
- Step 1: Try each possible assignment of truth-teller or liar and check every statement against it. Step 2. Only one assignment makes all three people consistent, which is: Truth-tellers: Kiran; liars: Dev and Chloe. Answer: Truth-tellers: Kiran; liars: Dev and Chloe. Why not the others: 'Truth-tellers: Kiran and Chloe; liars: Dev' fails because Kiran would be a truth-teller but the statement "Chloe is a liar" would then be false; 'Truth-tellers: nobody; liars: Kiran and Dev and Chloe' fails because Kiran would be a liar but the statement "Chloe is a liar" would then be true; 'Truth-tellers: Kiran and Dev and Chloe; liars: nobody' fails because Kiran would be a truth-teller but the statement "Chloe is a liar" would then be false.
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