Fact 1: Ayesha said Hamza and I both have cats Fact 2: Hamza said I don't have a cat Fact 3: Ayesha always tells the truth but hamza sometimes lies. If the above three statements are facts then which of the following statement will also be a fact I.Ayesha has a cat II. Hamza has a cat Ill. Hamza is lying IV. All the statements are the facts

Explanation

From Fact 1, Ayesha said both she and Hamza have cats. This implies that Ayesha has a cat. From Fact 2, Hamza said he doesn't have a cat. Since Hamza sometimes lies (Fact 3), we cannot conclude whether Hamza actually has a cat or not. So, we cannot determine if statement II is a fact. From Fact 3, Ayesha always tells the truth. Therefore, when Ayesha said that both she and Hamza have cats (Fact 1), it must be true. This means Hamza does have a cat, contradicting his statement in Fact 2. Therefore, statement III is true. Combining all the facts, we can conclude that Ayesha has a cat (statement I is true), Hamza has a cat (statement II is true), and Hamza is lying (statement III is true). Hence, statement IV, which states that all the statements are facts, is also true. Therefore, the correct answer is D) Statement IV.