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A question is followed by two statements numbered (I) and (II). Who is the tallest among A, B, C, and D? I. B is taller than A but shorter than D. II. C is shorter than B but taller than A.
Only I is sufficient
Only II is sufficient
Both I and II are needed
Neither I nor II is sufficient
Both I and II are needed
Combine the order of heights from both statements to see if a single unique maximum can be determined.
Combine the order of heights from both statements to see if a single unique maximum can be determined.
Analyze Statement I
Statement I gives the relation: D > B > A. Here, D is taller than B, and B is taller than A. C's position is unknown, so Statement I alone is not sufficient.
Analyze Statement II
Statement II gives the relation: B > C > A. Here, B is taller than C, and C is taller than A. D's position is unknown, so Statement II alone is not sufficient.
Combine Both Statements
Combining both statements, we get D > B and B > C > A, which results in the complete order D > B > C > A. Thus, D is clearly the tallest among all four.
A: Only I is insufficient because C's position relative to D and B is unknown. B: Only II is insufficient because D's position is completely missing. D: Neither is incorrect because combining both statements successfully gives the complete height order.
C is correct because both statements together are needed to establish the full hierarchical order D > B > C > A, identifying D as the tallest.
In data sufficiency questions involving inequalities, always check each statement independently first before attempting to combine them.
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