Brain Teasers
Mad Ade's Chess Night
Mr. and Mrs. Mad Ade & Mr. and Mrs. Potato competed in a Chess tournament. Of the three games played:
In only the first game were the two players married to each other,
The men won two games and the women won one game.
The Mad Ades won more games than the Potatos.
Anyone who lost a game did not play a subsequent game.
Who did not lose a game?
In only the first game were the two players married to each other,
The men won two games and the women won one game.
The Mad Ades won more games than the Potatos.
Anyone who lost a game did not play a subsequent game.
Who did not lose a game?
Answer
Mrs. Potato did not lose a game.List out all the possibilities and remove the possibilities which contradict the given conditions.
There are only 3 possibilities:
Mr. Mad Ade won one game, Mrs. Mad Ade won one game and Mr. Potato won one game.
Mr. Mad Ade one two games and Mrs. Mad Ade won one game.
Mr. Mad Ade won two games and Mrs. Potato won one game.
If (I) is correct, then Mr. Potato beats Mrs. Potato in the first game. Then Mr. Potato would have lost to either Mr. Mad Ade or Mrs. Mad Ade in the second game. And Mr. and Mrs. Mad Ade would have played the third game which contradicts the statement (1). So (I) is not correct.
Similarly, (II) is not correct.
(III) is correct. Mr. and Mrs. Mad Ade played the first game and Mr. Mad Ade won the game. Mr. Mad Ade won the second game against Mr. Potato and lost the third game against Mrs. Potato.
Thus, only Mrs. Potato did not lose a game.
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