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This is an example of the famous Knights and Knaves logic puzzle.[1] In this puzzle, knights always tell the truth and knaves always lie. In this case, the problem is to determine which is the knight and which is the knave.

If A responded "yes", then either

A is a knight and B is either a knight or a knave

-or-

A is a knave, (and he's lying), so B is a knave

However, if A responded "no", then

A is a knave, (and he's lying), so B is a knight

Therefore, A must have responded "no" if the stranger knew which is the knight and which is the knave.

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Q: A stranger came across two of the island's inhabitants A and B resting under a tree He asked A Are either of you a knight A responded and as a result the stranger knew the answer to his question?
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