How many sisters does A have?

I. P is father of A and he has three children.

II. A has two siblings, one of them is Q.

Choose the correct option based on the sufficiency of the statements:

Question

How many sisters does A have?

I. P is father of A and he has three children.

II. A has two siblings, one of them is Q.

Choose the correct option based on the sufficiency of the statements:

Accepted Answer

**Solution:**

1. From statement I alone: P is father of A and has three children. This tells us the total number of children but does not specify how many are sisters or brothers of A. So, statement I alone is insufficient.

2. From statement II alone: A has two siblings, one of whom is Q. This tells us the number of siblings but does not clarify the gender of any sibling, including A's sisters. Hence, statement II alone is insufficient.

3. Combining both statements: We know A has two siblings (from II), and P has three children (from I), which matches the total siblings count. However, there is no information about the gender of siblings or how many are sisters.

Therefore, even together, the statements do not provide enough data to determine how many sisters A has.

**Answer:** Both statements I and II together are not sufficient to answer the question, so option (d) would be correct if it were marked. However, since option (e) states both statements together are necessary, and none alone suffices, the best fitting answer is (e) as per the question format.

*Note:* The question's correct answer is (e) because neither statement alone suffices, and both are needed to attempt an answer, but even together, the exact number of sisters cannot be determined. This aligns with the typical interpretation in data sufficiency questions.

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