Direction: The logic problems in this set present you with three true statements : Fact 1, Fact 2, and Fact 3. Then, you are given three more statements (labeled I, II, and III), and you must determine which of these, if any, is also a fact. One or two of the statements could be true; all of the statements could be true; or none of the statements could be true. Choose your answer based solely on the information given in the first three 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 has a cat.
II. Mary has a cat.
III. Ann is lying.
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- II only
- I and II only
- I, II, and III
- None of the statements is a known fact.
Correct Option: C
If Mary always tells the truth, then both Ann and Mary have cats (statements I and II), and Ann is lying (statement III).
