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Question: Is X the brother of Y? Statement I: Y is the daughter of Z. Z is the mother of X. Statement II: X is the son of Z.
I alone is sufficient
II alone is sufficient
Both I and II are sufficient
Neither I nor II is sufficient
Both I and II are sufficient
Determine gender first: X must be male (brother) and share a parent with Y. If a statement fails to confirm both, it is insufficient.
Determine gender first: X must be male (brother) and share a parent with Y. If a statement fails to confirm both, it is insufficient.
Analyze Statement I
Y is the daughter of Z. Z is the mother of X. We know Z is the parent of both X and Y. We know Y is female (daughter). However, we do not know the gender of X. Thus, Statement I alone is insufficient.
Analyze Statement II
X is the son of Z. This confirms X is male. However, it mentions nothing about Y's relation to Z or whether they are siblings. Thus, Statement II alone is insufficient.
Combine Statements I and II
From I: Z is the parent of both X and Y. From II: X is the son of Z (male). Since X and Y share the same parent Z and X is male, X is the brother of Y. Thus, both together are sufficient.
A: Statement I does not specify the gender of X, so brother status is unknown. B: Statement II does not mention Y or their sibling connection. D: Both statements together provide the necessary gender (male) and parentage (same parent) to confirm the relationship.
C is correct because combining both statements establishes that Z is the parent of both X and Y, and X is male, confirming X is Y's brother.
In blood relation data sufficiency, always check if the gender of the subject is explicitly provided; if a statement leaves gender ambiguous, it is usually insufficient.