If A implies B and B implies A, and A is true, what can be asserted about B?

• A. B is true
• B. Cannot be determined
• C. B is false
• D. Both true and false

Answer: (A)

When two statements imply each other, they share the same truth value. Here, A implies B and B implies A, so A and B are tied together in a biconditional relationship. Since A is true, B must be true as well. Therefore, the best assertion is that B is true. The other options conflict with the given implications: A true together with A → B rules out B being false, and the idea that it cannot be determined or that both true and false could hold contradicts the established equivalence between A and B.