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After grading the advanced-math test but before handing it back, the teacher asked the five students in the class to predict how well other members of the class (but not themselves) did on the test.

The class had four boys, Art, Bill, Chuck, and Ed, and one girl, Debbie.

The teacher received the following five pairs of statements, each pair being made by a different student:

  1. Bill did better than Ed;
    Chuck did better than Bill.
  2. Debbie did better than Chuck;
    Art did better than Debbie.
  3. Ed did better than Art;
    Chuck did better than Ed.
  4. Bill did better than Ed;
    Debbie did better than Bill.
  5. Chuck did better than Bill;
    Art did better than Chuck.
The student with the highest grade was completely correct; the boy who came in last was completely wrong; and the other students had one correct prediction and one incorrect prediction.

Rank the students from highest to lowest grade. There were no ties.

(No Solution Yet, 1 Comments) Submitted on 2025-02-06 by K Sengupta   
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