# Logical Reasoning - Logical Problems - Discussion

Discussion Forum : Logical Problems - Type 4 (Q.No. 8)
Directions to Solve
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.

8.
 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.
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.
Discussion:
7 comments Page 1 of 1.

Purusottam said:   7 years ago
You are absolutely right @Vincent.

Vincent said:   9 years ago
All three are facts. If Ann has a cat 1 and 3 are true. If Ann does not have a cat three could not be a fact. Therefore, D is true. This is elementary logic.

Sharala said:   9 years ago
@Logicman.

But it has also said "Sometime and lies" sometimes doesn't indicate she is lying. So I agree with @Tash.

LogicMan said:   9 years ago
@Tash - But it is a given that all of the first 3 statements are facts. So Ann is lying and all of the 3 other statements are facts.

Whoever said:   9 years ago
What if Ann lied to Mary?

Then she said the truth that she has no cats.