Fact 1: Mary said, "Ann and I both have cats." Fact 2: Ann said, "I don't have a cat." Fact 3: Mary always tells the truth, but Ann sometimes lies. If the first three statements are facts, which of the following statements must also be a fact? I: Ann has a cat. II: Mary has a cat. III: Ann is lying.

I only
II only
I and II only
All the statements are facts.

Correct Answer: All the statements are facts.

Explanation:

If Mary always tells the truth, then both Ann and Mary have cats (statements I and II), and Ann is lying (statement III). So all the statements are facts.

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