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

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.

[A].	I only
[B].	II only
[C].	I and II only
[D].	All the statements are facts.

Answer: Option D

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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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

Logical Reasoning :: Logical Problems : More Exercises

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