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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. Who is the tallest among P, Q, R, S and T? I: P is taller than Q but shorter than T. II: S is taller than R but shorter than Q.
Only I is sufficient
Only II is sufficient
Both I and II are needed
Neither I nor II is sufficient
Both I and II are needed
Always link the two independent sets of inequalities into a single chain (T > P > Q and Q > S > R) to identify the global tallest individual.
Always link the two independent sets of inequalities into a single chain (T > P > Q and Q > S > R) to identify the global tallest individual.
Analyze Statement I
From statement I, P is taller than Q but shorter than T. The sequence is T > P > Q. This identifies T as the tallest among the subset {T, P, Q}, but it does not account for S and R.
Analyze Statement II
From statement II, S is taller than R but shorter than Q. The sequence is Q > S > R. This relates Q, S, and R but does not mention T or P.
Combine Statements I and II
By combining the chains (T > P > Q) and (Q > S > R), we get the complete order: T > P > Q > S > R. We can now clearly see that T is the tallest of all five individuals.
A: Insufficient because it ignores S and R; B: Insufficient because it ignores T and P; D: Incorrect because the combined data provides a definitive answer.
C is correct because combining both statements creates a unified inequality chain (T > P > Q > S > R) identifying T as the tallest person.
In comparison puzzles, always look for the 'bridge element' (in this case, Q) that connects two separate information segments to form a single sequence.
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