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In this question, 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. Read both the statements and decide the appropriate answer.
Among the five poles—R, A, M, E, and N—each having a different height, which one is the shortest?
(I) E is taller than only one pole. R is taller than A.
(II) E is taller than N.
Both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question
Both statements I and II together are NOT 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 together (and not statement I alone or statement II alone) are sufficient to answer the question
Analyze constraints step-by-step: combine 'taller than only one' with 'R > A' to establish relative positioning and fix the shortest pole.
Analyze constraints step-by-step: combine 'taller than only one' with 'R > A' to establish relative positioning and fix the shortest pole.
Analyze Statement I
E is taller than only one pole means E is the 2nd shortest. Since R > A, there are at least two poles (R and A) taller than E. Remaining positions: N is the only one left to be shorter than E.
Analyze Statement II & Integration
Statement II says E > N. Combined with Statement I (E is 2nd shortest), this confirms N is the shortest pole among the five (R, A, M, E, N).
B: Incorrect, both statements together provide enough information to order them. C: Incorrect, Statement II alone only shows E > N, not the position of the others. D: Incorrect, Statement I alone does not explicitly define N as the shortest relative to the other three poles without E > N.
A is correct because Statement I places E at the 4th position from the top (as it is taller than only one), and Statement II identifies N as the pole smaller than E, confirming N is the shortest.
In 'Data Sufficiency' questions, always check if the combination of statements eliminates all ambiguity; don't assume missing variables are inherently unsolvable.
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