You have 3 people with you. You know that one always tells the truth, and one always tells lies, and the other one strictly alternates telling lies and truths.

You are going to serve dinner, but ask who likes strawberries, and who doesn't. Their answers are as follows:

A: C never has told a lie.
I like strawberries.

B: A has never told the truth
I don't like strawberries

Start with C's statement "I always lie". If that was true, he couldn't always lie. So it must be false. If C didn't like strawberries, he would be telling the truth with his first statement, so he must like strawberries. So C is the one that makes the same number of false statements as true statements.

The other two people must make statements of the same truthfulness since those are the only choices left.

Since A's first statement is false, A's other statement must be false. So A doesn't like strawberries.

So, B must be the person who always tells the truth, and so B must not like strawberries.

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