Question

How many among the four students A, B, C and D have passed the exam?
Statement A
A. The following is a true statement: A & B passed the exam.
Statement B
B. The following is a false statement: At least one among C & D has passed the exam.

• A. The question can be answered by one of the statements alone but not by the other.
• B. The question can be answered by using either statement alone.
• C. The question can be answered by using both the statements together, but cannot be answered by using either statement alone.
• D. The question cannot be answered even by using both statements together.

Hint:

In questions about truth statements, always use the false statement to limit possibilities and draw conclusions.

Answer 1

The Correct Option is C

From Statement A: A and B have passed the exam, but we do not have information about C and D yet.
From Statement B: The false statement means that neither C nor D has passed the exam, leaving A and B as the only ones who passed. Combining both statements, we conclude that A and B passed, and the total number of students who passed is 2. Therefore, the Correct Answer is (3).