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Is X the brother of Y? I: X is the son of Z, who is the mother of Y. II: Y is the daughter of Z.
Data in I alone is sufficient
Data in II alone is sufficient
Data in both I and II are needed
Data in either I or II is sufficient
Data in both I and II are needed
Determine gender first; if the sibling relationship is established but the gender of the subject remains unknown, data is insufficient.
Determine gender first; if the sibling relationship is established but the gender of the subject remains unknown, data is insufficient.
Analyze Statement I
Statement I says X is the son of Z and Z is the mother of Y. This establishes X is male and a child of Z, but Y could be male or female. Thus, we know X is a sibling of Y, but we do not know if X is the brother because the gender of Y is unknown.
Analyze Statement II
Statement II says Y is the daughter of Z. This establishes Y is female, but it gives no information about X.
Combine Statements I and II
From I, we know X is the son of Z (X is male). From I and II combined, we know Z is the mother of both X and Y. Since X is the son of Z and Y is the child of Z, X is the brother of Y. Both statements are required to confirm X is male and both share the same parent.
A: Statement I is insufficient as Y's gender is unknown. B: Statement II is insufficient as X is not mentioned. D: Neither I nor II independently provides the necessary info to confirm X's gender and the sibling connection simultaneously.
C is correct because combining both statements confirms X is a male child of Z and Y is a child of Z, establishing the brother-sister relationship.
In blood relation data sufficiency, always check if the gender of the person in question is defined; if not, the answer is usually insufficient.
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