## BACK-TO-SCHOOL   Logic Problem

L. Puzzle

Losstown High School faced numerous challenges in moving to their new semester schedule this year. Just as academic coordinator Robert Purr thought he had solved all the scheduling glitches, several teachers (including Gary O'Brent and Nancy Dale) pointed out that the number of desks in their room did not correlate with the number of students in their largest class. The overworked Mr. Purr assigned the 2 humanities teachers involved (English & History) to gather the information and the 2 analytical teachers (Algebra & Chemistry) to work out a solution. No teacher had more than 30 or less than 20 in their largest class; each largest class was a different size. The algebra teacher pointed out that the original number of desks in the four rooms were four consecutive numbers. Use the following clues to determine the subject taught, the largest class and the original number of desks in the rooms of the four teachers.

1. The number of students in each teacher's largest class has at least 6 whole number divisors. (Example: the whole number divisors of 18 are 1, 2, 3, 6, 9, 18 for a total of 6.)
2. Luke Furrier contributed or received exactly 2 desks.
3. The teacher who originally had 25 desks contributed at least one.
4. A female teacher had the largest class.
5. Both humanities teachers needed desks; neither analytical teacher needed desks.
6. The English teacher contributed or received exactly 4 desks.
7. A humanities teacher originally had exactly 24 desks.
8. Kris Schenkl contributed the most desks.
9. There were originally more desks in the chemistry room than in the algebra room.

TEACHER  SUBJECT   # of DESKSCLASS SIZE

A special thanks to L. Puzzle for contributing the September 1997 Logic Problem of the Month to the Logic Problems Home Page (http://www.oocities.com/Heartland/Plains/4484/logic.htm) for the enjoyment of all of us.

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This problem has had visitors since 12/17/97.

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