Each question is followed by two statements I and II 1 If the question can be answered by any one of...........

Math and Mental Ability Data Sufficiency

Each question is followed by two statements, I and II.

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 statements together.

What are the ages of two individuals, X and Y?

I. The age difference between them is 6 years.

II.The product of their ages is divisible by 6.

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Explanation:

- Statement I alone: This tells us the age difference between X and Y is 6 years, but without further information, we cannot determine their exact ages. Multiple pairs of ages could satisfy this condition.

- Statement II alone: This states that the product of their ages is divisible by 6. This does not give any direct information about their specific ages, only that one age is even or the sum of both ages is a multiple of 3.

- Using both statements together: Even when combined, the information does not point to unique ages for X and Y. The conditions allow for multiple pairs that fit both the conditions.

- Correct Answer: Option 4: The question cannot be answered even by using both statements together.