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Question: Is X the brother of Y? Statements: (I) X is the son of Z, who is the father of Y. (II) Y is the daughter of Z.
Data in statement (I) alone is sufficient
Data in statement (II) alone is sufficient
Data in either statement alone is sufficient
Data in both statements are needed
Data in statement (I) alone is sufficient
Analyze the gender and parent-child link separately; statement I establishes both parentage and sibling connection, whereas statement II only establishes parentage without defining X's gender or relation to Y.
Analyze the gender and parent-child link separately; statement I establishes both parentage and sibling connection, whereas statement II only establishes parentage without defining X's gender or relation to Y.
Analyze Statement I
Statement (I) says X is the son of Z, and Z is the father of Y. This means Z is the parent of both X and Y. Since X is the 'son', X is male. Therefore, X is the brother of Y. This statement alone is sufficient.
Analyze Statement II
Statement (II) says Y is the daughter of Z. This establishes Y's gender and parent, but provides no information about X. Therefore, it is impossible to determine X's relation to Y.
Evaluate Options
Since statement (I) provides sufficient information to confirm X is the brother of Y, and statement (II) is insufficient, the correct answer is that (I) alone is sufficient.
B is wrong because statement II does not mention X. C is wrong because statement II is insufficient on its own. D is wrong because statement I already contains the required information, making statement II redundant.
A is correct because statement (I) establishes X as the son of Z (making X male) and Y as the child of Z, confirming X is the brother of Y.
In blood relation data sufficiency questions, always check if the gender of the subject in question is explicitly provided; if not, you cannot confirm the relationship (e.g., if X's gender isn't known, you cannot call X a 'brother').