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Logical Puzzles Hard 4 min

A, B and C are either truth-tellers or liars. A says, "B is a liar." B says, "A and C are of the same type." C says, "B is a liar." Who is truthful?

Hint
A and C make identical claims about B.

Answer

B is truthful, while A and C are liars.

Explanation

If B is truthful, then A and C must be the same type. A and C both say B is a liar, so both must be lying. This is consistent. The alternative does not produce a consistent assignment.

Step-by-Step Solution

B = truthful.
A says B is liar → false, so A = liar.
C says B is liar → false, so C = liar.
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