Each question is followed by two statements I and II Mark the answer 1 If the questio...........

Math and Mental Ability Data Sufficiency

Each question is followed by two statements, I and II. Mark the answer:

1. If the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.

2. If the question can be answered by using either statement alone.

3. If the question can be answered by using both statements together, but cannot be answered using either statement alone.

4. If the question cannot be answered even by using both statements together.

How many students among A, B, C and D have passed the examination?

I. The following is a true statement: A and B passed the examination.

II.The following is a false statement: At least one among C and D has passed the examination.

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Explanation:

To determine how many students among A, B, C, and D have passed the examination, let's analyze the provided statements:

Statement I: "The following is a true statement: A and B passed the examination."?

This confirms that A and B have passed. However, it provides no information regarding C and D. Therefore, Statement I alone is insufficient to answer the question.?

Statement II: "The following is a false statement: At least one among C and D has passed the examination."?

Since the statement "At least one among C and D has passed the examination" is false, it implies that neither C nor D has passed. However, this statement does not provide any information about A and B. Thus, Statement II alone is also insufficient.?

Combining Statements I and II:

From Statement I, we know A and B passed.?

From Statement II, we deduce that C and D did not pass.?

Together, these statements indicate that exactly two students (A and B) passed the examination.?

Conclusion:

The question can be answered by using both statements together, but cannot be answered using either statement alone. Therefore, the correct answer is option 3.