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A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Is P the brother of Q? I. P is the son of R, and Q is the daughter of R. II. R has only two children.
Data I alone is sufficient
Data II alone is sufficient
Data I and II together are sufficient
Data I and II together are not sufficient
Data I and II together are sufficient
Combine parent-child links from Statement I with the exact family size constraint from Statement II to establish the complete sibling relationship.
Combine parent-child links from Statement I with the exact family size constraint from Statement II to establish the complete sibling relationship.
Analyze Statement I
Statement I tells us that P is the son of R (making P male) and Q is the daughter of R (making Q female), establishing that both share the same parent R.
Analyze Statement II
Statement II states that R has only two children, which bounds the total children of R to exactly two.
Combine and Verify
Using both statements together, we confirm that P and Q are the only two children of R, and since P is male and Q is female, P is the definitive brother of Q.
A: Statement I alone does not specify the total number of children, leaving ambiguity about the family structure. B: Statement II alone gives only the number of children without any gender or identity details. D: Both statements together successfully provide all necessary details to determine the relationship.
C is correct because Statement I establishes P as a son and Q as a daughter of R, while Statement II confirms R has only two children, jointly proving P is the brother of Q.
In blood relation data sufficiency, always check if gender and total family members are both accounted for before concluding sibling relationships.
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