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A very special island is inhabited only by knights and knaves. Knights always tell the truth,...

A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet two inhabitants: A and B. A says “B is a knave”. B says “at least one of us is a knight”. Determine who is a knight and who is a knave

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Answer #1

If you assume that the first person that means A is telling truth, then B is a knave and must be lie.B says "at least one of us is a knight" B is a lie according to that. so that this statement ("at least one of us is a knight")is also false.But it says one of us is a knight that is true according to the question(one is knave and another is knight) so one of them is knight.so A is telling lie .

Alternatively, if you assume B is telling truth when he says "at least one of us is a knight" this statement is also true, one of them is a knight.if B is telling lie the statement should be false but here that not happen in that statement so B cannot telling the lie.

Therefore, A is knave (lie) and B is Knight (truth)

A - Knave

B - Knight

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