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CAT 1999 — QA Question 55

Data SufficiencyEasy

Directions: Each question is followed by two statements I and II. Mark:
1. if the question can be answered by any one of the statements alone, but cannot be answered by 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 the statements together, but cannot be answered by using either statement alone.
4. if the question cannot be answered even by using both the 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.

Answer & solution

Correct answer: 3

  • A

    1

  • B

    2

  • 3

  • D

    4

Solution

From I, we know A and B passed the examination.
From II, we know the condition that among C and D at least one passed (or both passed) is false.
Therefore, it is obvious that both C and D have failed.
Thus, both statements are necessary to find the answer.

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CAT 1999 QA Q55: Directions: Each question is followed by two statements I and II. Mark: 1. if the question can be answered by — Solution | TheCATExam