An island has two tribes: Truthtellers who always tell the truth and Liars who always lie. You meet three islanders. The first says, "The second islander is a Liar." The second says, "The third…
Question and options
An island has two tribes: Truthtellers who always tell the truth and Liars who always lie. You meet three islanders. The first says, "The second islander is a Liar." The second says, "The third islander is a Liar." The third says, "The first and second islanders are both Liars." Who is a Truthteller?
- First islander
- Second islander
- Third islander
- Cannot be determined
Answer and explanation
Correct answer: B - Second islander
Suppose the third is truthful: then the first and second are Liars, but the first's claim 'the second is a Liar' would then be true, a contradiction. So the third is a Liar, which makes the second's claim true: the second is a Truthteller. The first's claim is then false, so the first is a Liar, and the third's claim is indeed false. Only the second islander is a Truthteller.
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CUSAT CAT Five-Year LL.B.
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