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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. Read both the statements and select the most appropriate answer.
Question:
Among 5 poles, I, L, O, M and D each having a different height, which pole is the tallest?
Statements:
(I) L is taller than D. D is shorter than only one pole.
(II) I is shorter than O but taller than M.
Data in both statements I and II together (and not statement I alone or statement II alone) 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 both statements I and II together are not sufficient to answer the question.
Data in statement I alone is sufficient to answer the question while data in statement II is not.
Data in statement I alone is sufficient to answer the question while data in statement II is not.
Quick Trick: Statement I gives the exact rank position: 'D is shorter than only one pole' means D is 2nd tallest. Since L is taller than D, L MUST be the 1st (tallest) pole!
Statement I gives the exact rank position: 'D is shorter than only one pole' means D is 2nd tallest. Since L is taller than D, L MUST be the 1st (tallest) pole!
Analyze Statement (I)
There are 5 poles in total. Statement I says 'D is shorter than only one pole'. This explicitly means exactly one pole is taller than D, so D is the 2nd tallest pole (Rank 2). The statement also says 'L is taller than D'. Since L is taller than the 2nd tallest pole D, L MUST be the 1st tallest pole (Rank 1). Therefore, Statement I alone uniquely identifies L as the tallest pole.
Analyze Statement (II)
Statement II states 'I is shorter than O but taller than M', which gives the relative order O > I > M. However, it gives no information regarding poles L and D. Therefore, we cannot determine whether O or L is the tallest pole overall. Thus, Statement II alone is not sufficient.
Conclusion
Statement I alone provides enough data to answer the question, whereas Statement II alone does not. This directly matches Option D.
A: Both statements together are not required because Statement I alone is already sufficient. B: Statement II alone gives only O > I > M, leaving L and D unknown, so it is insufficient. C: Incorrect because Statement I alone is indeed sufficient to find the tallest pole.
D is correct because Statement I alone uniquely proves L is the tallest pole since D is 2nd tallest and L is taller than D.
In height/ranking questions with words like 'shorter than ONLY ONE', convert that immediately into a fixed rank position (e.g., 2nd from top) to solve the question instantly without combining unnecessary statements.