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Among five friends A, B, C, D and E of different heights, who is the tallest? Statement I: A is taller than both B and C. Statement II: D is taller than A, and E is shorter than B.

Competition practiceData Sufficiency
  • AStatement II alone is sufficient but Statement I alone is not
  • BStatement I alone is sufficient but Statement II alone is not
  • CEither statement alone is sufficient
  • DBoth statements together are needed (neither alone is sufficient)

Step-by-Step Solution

I says nothing about D or E; II does not link D to C. Together D > A > B, C and E < B, so D is taller than everyone — sufficient only when combined.
Answer: D) Both statements together are needed (neither alone is sufficient)

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