A says: 'B is a liar.' B says: 'A and I are the same type of person (both truthful or both liars).' Each person is either always truthful or always lying. Which is correct?
Answer and explanation
Correct answer: C. A tells the truth and B lies
- Step 1: Suppose B is truthful. Then A is also truthful, so A's statement 'B is a liar' would be true, a contradiction. Step 2. So B lies. Then B's claim is false, so A and B differ: A is truthful, and A's statement is indeed true. Answer: A truthful, B a liar. Why not the others: Each of the other options leads to a contradiction with one of the statements.
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