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A question is followed by two statements (I) and (II). Among 6 friends P, Q, R, S, T and U, who is the heaviest? I: P is heavier than Q and R but lighter than S. II: U is heavier than S but lighter than T.
Data in statement I alone is sufficient.
Data in statement II alone is sufficient.
Data in both statements together are required.
Data in neither statement is sufficient.
Data in both statements together are required.
Combine the inequalities from both statements using the common element S to form a single continuous weight chain.
Combine the inequalities from both statements using the common element S to form a single continuous weight chain.
Analyze Statement I
Statement I establishes the partial order S > P > Q and S > P > R, but provides no information about T and U.
Analyze Statement II
Statement II establishes the partial order T > U > S, but provides no information about P, Q, and R.
Combine Both Statements
Using S as the bridge, merging the statements yields the complete sequence T > U > S > P > Q/R, clearly identifying T as the heaviest.
A: Statement I alone is insufficient because T and U are missing. B: Statement II alone is insufficient because P, Q, and R are missing. D: Incorrect because both statements together successfully determine the heaviest person.
C is correct because combining both statements yields the complete sequence T > U > S > P > Q/R, proving T is the heaviest.
Always look for a common overlapping element across statements to bridge separate inequality chains in data sufficiency questions.
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