Puzzle of the Day : 43
The Tournament
Mr. and Mrs. Aye and Mr. and Mrs. Bee competed in a chess tournament. Of the three games played:
[1]In only the first game were the two players married to each other.
[2]The men won two games and the women won one game.
[3]The Ayes won more games than the Bees.
[4]Anyone who lost game did not play the subsequent game.
Who did not lose a game?
Source: The Great Book Of Puzzles & Teasers
From [2] and [3], either:
I. Mr. Aye won one game, Mrs. Aye won one game, and Mr. Bee won one game; or
II. Mr. Aye won two games and Mrs. Aye won one game; or
III. Mr. Aye won two games and Mrs. Bee won one game.
If I is correct, then [1] and [4] , Mr. Bee beat Mrs. Bee in the first game. Then, from [4], only Mr. Bee could have lost to Mr. Aye or Mrs. Aye in the second game. Then from [1] and [4], no one could have played against the last winner in the last game. So I is not correct.
II cannot be correct from [1] and [4].
so III is correct. If Mrs Bee won the first game, then she beat Mr. Bee in that game, from [1]. But then from [1] and [4], no one could have played against Mr. Aye in the second game. So Mr. Aye won the first game against Mrs. Aye, from [1]. Then , from [4], Mr Aye beat Mr. Bee in the second game . Then from [4], Mrs. Bee beat Mr. Aye in the third game.
So only Mrs. Bee did not lose a game.
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