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A question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient to answer the question. Five people, A, B, C, D and E, have different weights each. Who is the heaviest? (I) A is heavier than C but lighter than D. (II) B is not the heaviest and E is not the lightest.
Both Statements I and II put together (and not independently) are sufficient to answer the question.
Data in Statement II alone is sufficient to answer the question, while data in Statement I is not.
Data in Statement I alone is sufficient to answer the question, while data in Statement II is not.
Both Statements I and II put together are not sufficient to answer the question.
Both Statements I and II put together are not sufficient to answer the question.
To find the heaviest among 5, you need the relative position of all 5 or a definitive constraint for the top. Two separate negative constraints are rarely sufficient.
To find the heaviest among 5, you need the relative position of all 5 or a definitive constraint for the top. Two separate negative constraints are rarely sufficient.
Analyze Statement I
Statement I provides D > A > C. This establishes a partial order for three people, but B and E remain unplaced.
Analyze Statement II
Statement II provides negative constraints: B тЙа Heaviest, E тЙа Lightest. It does not establish any relative weight comparison between the individuals.
Synthesize Both Statements
Even combined, we know D > A > C, B is not the heaviest, and E is not the lightest. However, we cannot determine if B or E is heavier than D. Therefore, the heaviest cannot be determined.
A: Combining does not resolve the placement of B and E relative to D. B: Statement II alone gives no comparative data. C: Statement I only ranks 3 of the 5 people.
D is correct because even after combining both statements, the weights of B and E relative to D are unknown, making it impossible to identify the heaviest person.
In Data Sufficiency puzzles involving ranking, if the statements fail to link all variables (or provide a unique anchor for the 'heaviest'/'lightest'), the answer is almost always that data is insufficient.
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