Logic Problem

William T. Pelletier

Ten students, sitting in 2 rows of 5 each, took their 500-point final exam in advanced calculus. The students' scores were all multiples of ten with no two of them receiving the same score. Use the following clues and the professor's seating chart below to determine which students sat in which seats and the test score each student earned.

  1. Hugh sat next to both Ida and to the student making 82%, which was the lowest grade on the test.
  2. George and the student scoring 470 sat in diagonally opposite corner seats.
  3. Chuck sat somewhere between Bill and the student scoring 410, although these 3 students are not necessarily in the same row. Similarly, Ann sat somewhere between Eve and the student scoring 490.
  4. The sum of the scores of the students sitting in the first column is 880.
  5. Jerry's score was 10 points better than Dolly's but 50 points less than Frank's.
  6. The average score of those in Column 2 is the same as that of those in Column 4, but is 5 points less than the average of those in Column 3.
  7. The student with the lowest score of those in the first row sat directly in front of the student with the highest score of those in the second row.
  8. The average test score of those in the first row is 46 points higher than the average of those in the second row.
Column 1Column 2 Column 3 Column 4Column 5
ROW 2 Name6. 7. 8. 9. 10.
ROW 1 Name1. 2. 3. 4. 5.


If you get stuck, then Tips for Solving Logic Problems may be helpful.


Detailed Solution.

This is the March 1997 Logic Problem of the Month for the Logic Problems Page.
This problem has had visitors since 12/17/97.

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