Question

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 1

The correct option is D All the statements are facts.

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.