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Data sufficiency (family roles): Who is A’s father? Given: A and B are children of D. Which statements are necessary to identify A’s father? (1) C is the brother of A and the son of E. (2) F is the mother of B. Choose the correct necessity condition.

Difficulty: Easy

Only (1)
Only (2)
Either (1) or (2)
(1) and (2) both

Correct Answer: Only (2)

Explanation:

Analyze statements

: C is A's brother and son of E ⇒ E is a parent of C (and likely A), but E's relation to D is unknown; cannot identify A's father.
: F is mother of B. Since B is a child of D and already has mother F, D must be the father of B. Therefore D is male (father). A is also a child of D ⇒ A's father is D.

Conclusion
Statement (2) alone suffices; (1) alone does not.

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