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Student Rank Order Logic

XAT 2013 · Decision Making · Hard · Logical Reasoning

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There is a lot of interest in the first five ranks for Class XI students. One student guessed the rank order as Ankita, Bhagyashree, Chanchal, Devroopa and Esha. Later upon announcement of the results, it was found that not only did he get each student out off her true position, none of the students in his ranking correctly followed her immediate predecessor. Another student guessed Devroopa, Ankita, Esha, Chanchal and Bhagyashree. Even his guess was wrong. It was found that he had got two positions correct, and two students in his ranking correctly followed their immediate predecessors. Which of the following is true about the correct rank order?

  1. A.

    Ankita got the third position

  2. B.

    Bhagyashree got the fourth position.

  3. C.

    Chanchal got the second position.

  4. D.

    Devroopa stood first.

  5. E.

    Esha got the fourth position.

Answer

A

Explanation

Analyzing the derangement constraints and conditions from both guesses yields the correct ranking as EDACB (Esha 1st, Devroopa 2nd, Ankita 3rd, Chanchal 4th, Bhagyashree 5th). Thus Ankita got the third position.

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