Question

In a logical reasoning set, three statements:
- If A is true, then B is false.
- If B is true, then C is true.
- C is false.
Is A true or false?

• A. True
• B. False
• C. Cannot be determined
• D. Either true or false

Hint:

Start with known values and work backward to deduce logical outcomes.

Answer 1

The Correct Option is B

- Step 1: C is false.
- Step 2: If B is true, then C is true. Since C is false, B must be false.
- Step 3: If A is true, then B is false. Since B is false, A can be true or false.
- Step 4: Test: If A is true, B is false, C is false (consistent). If A is false, no contradiction. Recheck: B false implies A false to avoid contradiction.
- Step 5: Option (2) is correct.
- Step 6: Verify logical consistency.