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Data Sufficiency - Highest rank in quiz contest

CAT 2007 Slot 1 · Data Interpretation & Logical Reasoning · Medium · Data Sufficiency

This is a medium Data Interpretation & Logical Reasoning question from the CAT 2007 Slot 1 paper. It tests Data Sufficiency. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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Five students Atul, Bala, Chetan, Dev and Ernesto were the only ones who participated in a quiz contest. They were ranked based on their scores in the contest. Dev got a higher rank as compared to Ernesto, while Bala got a higher rank as compared to Chetan. Chetan's rank was lower than the median. Who among the five got the highest rank?

A. Atul was the last rank holder. B. Bala was not among the top two rank holders.

  1. A.

    Statement A alone is sufficient but statement B alone is not sufficient

  2. B.

    Statement B alone is sufficient but statement A alone is not sufficient

  3. C.

    Either statement alone is sufficient

  4. D.

    Both statements together are sufficient but neither alone is sufficient

  5. E.

    Statements A and B together are not sufficient

Answer

D

Explanation

Given: Dev > Ernesto, Bala > Chetan, Chetan is ranked 4 or 5. Combining A and B:

  • A: Atul is 5th.
  • Chetan must be 4th (since rank lower than median and 5th is Atul).
  • B: Bala is not in top 2, so Bala must be 3rd.
  • Remaining top two ranks must be Dev (1st) and Ernesto (2nd). So Dev got the highest rank. Both together are sufficient.

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