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Five students A, B, C, D and E are ranked by height. Who is the tallest? Statement I: C is taller than A and E but shorter than B. Statement II: D is shorter than A.

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

Step-by-Step Solution

By I alone D's height is unknown and could top B. Adding II (D < A) gives B > C > A > D and C > E, so B is definitely the tallest.
Answer: D) Both statements together are needed (neither alone is sufficient)

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