Blood relation - How A is related to B

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This is a data sufficiency question -

Q - How is A related to B?

Statement I. B is the only son of D who is the daughter of A's father.

Statement II. B is the father of C and is the only son of A's mother.

A -

I. If statement I alone is sufficient to answer the question.

II If statement II alone is sufficient to answer the question.

III If the data either in statement I or statement II alone is sufficient to answer the question.

IV If both the statement together is not sufficient to answer the question.

V If both the statement together is necessary to answer the question.

MY ATTEMPT

I think the answer will be Option I.

From statement I, I got A is the uncle of B

From statement II, I got A is the sister or the brother of B

But I am not sure if I am right.

Please help me solve this question.

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Statement I: D has a unique male child. D's male child is named B. D is a daughter, so D is female. D is the child of an unnamed male called A's father. A is a child of an unnamed male called A's father.

(using ":" for children and "()" for collecting sibling subtrees...)

A's father - male: (A - unknown sex, D - female : B - male)

Statement II: B is a father, so is male. B has a child named C. B is a child of an unnamed female called A's mother. A is a child of an unnamed female called A's mother.

A's mother - female: (A - unknown sex, B - male: C - unknown sex)

A is an aunt or an uncle of B, but neither statement is sufficient to resolve which is the case. A is also a sibling of B, but neither statement is sufficient to resolve the sex of A and therefore whether A is a brother or a sister to B.

Interestingly, B's mother is D (statement I), D's father is A's father (statement I) and B's father is A's father (statement II). Therefore B's mother is also his half-sister.