1314.1: Logic Roommates


In my logic class, there are three sets of roommates, all living in doubles: Ashleigh, Belinda, Camille, Debra, Edna, and Farah. On a recent test, Ashleigh got a 96, Belinda got a 92, Camille got a 90, and Debra got an 84. Edna and Farah did not put their names on the test. When I first graded the tests, I only knew that their two scores were 88 and 86. I did not know which grade Edna received and which Farah received.


When Edna and Farah came to class and identified their papers, it turned out that two pairs of roommates had the same total grades. (To be clear: the total grade for a pair of roommates is the sum of their two grades.) Camille lives in South. Belinda lives in Babbitt. Debra's roommate had a lower grade than Edna's roommate.


1. Identify the three pairs of roommates.

2. What are Edna and Farah's scores?




Solutions to Puzzle #1314.1: Logic Roommates, with a brief statement of your reasoning, may be sent to puzzle@hamilton.edu, or, via campus mail, to Russell Marcus, Philosophy Department. Bald solutions do not merit prizes; you must explain your reasoning. Make sure to include your contact information, including class year, with your solution. A winner will be chosen among those who submit satisfactory solutions. Any one may play the puzzle, but only current Hamilton College students may win prizes.



Prize winners receive a t-shirt or mug from Lulasail, home of the best philosophy t-shirts on the web.

The Deadline for Puzzle #1314.1: Logic Roommates is Monday, October 28, at 4pm. All entries must be received by then.