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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) N is shorter than A. E is shorter than R.
(II) E is taller than N.
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
Both statements I and II together are NOT sufficient to answer the question
Both statements I and II together are NOT sufficient to answer the question
Identify the relative positions of all five poles. If the statements leave any pole's relative position with the others ambiguous, data is insufficient.
Identify the relative positions of all five poles. If the statements leave any pole's relative position with the others ambiguous, data is insufficient.
Analyze Statement I
Statement I gives us two relations: N < A and E < R. This establishes two pairs, but we have no link between the pairs (N, A) and (E, R).
Analyze Statement II
Statement II tells us N < E. Combining this with I: N < E < R. We know N is shorter than E, R, and A. However, we have no information about pole M.
Evaluate Sufficiency
Since the height of pole M relative to N is never defined, we cannot determine if N or M is the shortest. Thus, the information is insufficient.
A: Statement II only gives N < E, which doesn't identify the shortest. B: Statement I only provides partial relations without linking all poles. C: Combined, M is still an unknown variable, so even together they fail.
D is correct because even after combining all given statements, the relative height of pole M remains unknown, making it impossible to confirm if N or M is the shortest.
In ranking-based data sufficiency questions, if an element is mentioned in the question but missing in all statements, the data is almost certainly insufficient.
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