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Among five students ranked 1 (highest) to 5 (lowest) by marks with no ties, who is ranked third? Statement I: A scored more than B but less than C. Statement II: D scored more than C, and E scored the least.

Competition practiceData Sufficiency
  • AStatement I alone is sufficient but Statement II alone is not
  • BBoth statements together are needed (neither alone is sufficient)
  • CStatement II alone is sufficient but Statement I alone is not
  • DEither statement alone is sufficient

Step-by-Step Solution

Together the order is D > C > A > B > E, so A is third; neither statement alone fixes the full order.
Answer: B) Both statements together are needed (neither alone is sufficient)

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