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A, B, C, D and E are seated in a single row facing north, seats numbered 1 (extreme left) to 5 (extreme right). Who occupies seat 3? Statement I: E sits at the extreme left, and exactly two people sit between E and C. Statement II: A sits immediately to the right of B. Which statement(s) is/are sufficient to answer?

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

I gives E in seat 1 and C in seat 4, but seats 2, 3, 5 could hold A, B, D in any order. II alone allows many arrangements. Together, B and A must be adjacent among seats 2, 3, 5, so B is in 2 and A in 3 (D in 5). Seat 3 = A; both statements are needed.
Answer: D) Both statements together are needed (neither alone is sufficient)

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