On an island each person either always tells the truth or always lies. Isla says: "At least two of the three of us are liars." Kiran says: "Isla and I are the same type." Hugo says: "Kiran is a truth-teller." Which of the following is correct?
Answer and explanation
Correct answer: A. Truth-tellers: Isla; liars: Kiran and Hugo
- 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: Isla; liars: Kiran and Hugo. Answer: Truth-tellers: Isla; liars: Kiran and Hugo. Why not the others: 'Truth-tellers: nobody; liars: Isla and Kiran and Hugo' fails because Isla would be a liar but the statement "at least two of the three of us are liars" would then be true; 'Truth-tellers: Hugo; liars: Isla and Kiran' fails because Isla would be a liar but the statement "at least two of the three of us are liars" would then be true; 'Truth-tellers: Isla and Hugo; liars: Kiran' fails because Isla would be a truth-teller but the statement "at least two of the three of us are liars" would then be false.
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