Membership Matters (Issue 28)
Brain Teaser
Seven amateur billiards players gather to play a billiards tournament. The players were divided into two sections:
- Section A has 4 players; and
- Section B has 3 players.
Each player played against every other player in his/her Section. With the information below, can you determine each person’s section, and to whom they won and lost.
Players: Betty, Chris, Greg, Jill, John, Mary, and Tina.
- Every player from Section B has the same win-loss record.
- John lost all of his games.
- Mary, who defeated Jill, won more games than exactly 5 of the players.
- Jill lost to Greg, and Tina defeated Chris.
Solution at the bottom of the page.
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Brain Teaser Solution
Section A: John: Lost to everyone. Jill: Beat John, Lost to Mary and Greg. Mary: Beat John, and Jill. Lost to Greg. Greg: Beat everyone.
Section B: Betty: Beat Tina. Lost to Chris. Tina: Beat Chris. Lost to Betty. Chris: Beat Betty. Lost to Tina.
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