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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) M is taller than L. L is taller than D.
(II) D is shorter than I but taller than O.
Data in both statements I and II together are not sufficient to answer the question.
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 I alone is sufficient to answer the question while data in statement II is not.
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.
Whenever comparing 5 variables with 2 statements, check if the tallest variable is constrained. If any variable (e.g., I, O) is not linked to the full hierarchy, the tallest cannot be determined.
Whenever comparing 5 variables with 2 statements, check if the tallest variable is constrained. If any variable (e.g., I, O) is not linked to the full hierarchy, the tallest cannot be determined.
Analyze Statement I
From M > L and L > D, we get the partial order: M > L > D. O and I are missing.
Analyze Statement II
From D < I and D > O, we get the partial order: I > D > O. M and L are missing.
Evaluate Combined Data
Combining both, we have M > L > D and I > D > O. We know D is the tallest among {D, O} and M is the tallest among {M, L, D}, but we cannot compare I with M or L. Thus, the tallest could be M or I.
B: Incorrect, because 'I' and 'M' have no defined relationship. C: Incorrect, because Statement I lacks info on 'I' and 'O'. D: Incorrect, because Statement II lacks info on 'M' and 'L'.
A is correct because the provided statements do not establish a complete hierarchical link between all poles to determine the tallest one uniquely.
In ranking-based Data Sufficiency, if you cannot bridge the two groups (e.g., M-L-D and I-D-O) into a single sequence including all elements, the answer is usually 'Data insufficient'.
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