Mr. and Mrs. Aye and Mr. and Mrs. Bee competed in a chess tournament.Of the three games played:
a)In only the first game werethe two players married to each other.
b)The men won two games and the women won one game.
c)The Ayes won more games than the Bees.
d)Anyone who lost game did not play the subsequent game.
Who did not lose a game?

• Game 1: Mr. Aye beats Mrs. Aye
  Game 2: Mr. Aye beats Mr. Bee
  Game 3: Mrs. Bee beats Mr. Aye
  
  Mrs. Bee is the player who didn't lose a game.
• 13 years agoHelpfull: Yes(11) No(3)
• Case 1: Mr. Aye vs Mrs. Aye
  
  Given condition 1: three games of chess were played and in only the first game, the two players were married to each other thus two possibilities of 1st match arise as shown below.
  
  Case A: Mr. Aye wins and Mrs. Aye lost
  
  Case B: Mrs. Aye wins and Mr. Aye lost
  
  Then next match must be
  
  i) Mr. Aye vs Mr. Bee
  
  ii) Mr. Aye vs Mrs. Bee
  
  iii) Mrs. Aye vs Mr. Bee
  
  iv) Mrs. Aye vs Mrs. Bee
  
  Given conditions are:
  
  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.
  
  × Not possible
  
  If Mr. Aye wins and Mr. Bee wins then the next match will be between Mr. Aye and Mr. Bee thus even if either of them wins then all matches are won by men which is wrong.
  
  True
  
  If Mr. Aye wins and Mrs. Bee wins then the next game will be between Mr. Aye and Mrs. Bee and which must be win by Mr. Aye to complete all conditions.
  
  × Not possible
  
  If Mrs. Aye wins and Mr. Bee wins then next match must be won by Mr. Bee as men wins 2 matches but Aye’s wins more matches then Bee’s, hence contradict the condition.
  
  × Not possible
  
  As women wins only one match.
  
  
  
  Case 2: Mr. Bee wins vs Mrs. Bee
  
  Given condition 1: three games of chess played and in only the first game were the two players married to each other thus two possibilities of 1st match arise as shown below.
  
  
  Case C: Mr. Bee wins and Mrs. Bee lost
  
  Case D: Mrs. Bee wins and Mr. Bee lost
  
  
  
  Then next match must be
  
  
  v) Mr. Bee vs Mr. Aye
  
  vi) Mr. Bee vs Mrs. Aye
  
  vii) Mrs. Bee vs Mr. Aye
  
  viii) Mrs. Bee vs Mrs. Aye
  
  
  Given conditions are:
  
  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.
  
  
  × Not possible
  
  If Mr. Bee wins then 2 out of 3 matches will be won by Bee’s but it is given that Bee’s won less matches than Aye’s, hence contradict the conditions.
  
  × Not possible
  
  If Mr. Bee wins then 2 out of 3 matches will be won by Bee’s but it is given that Bee’s won less matches than Aye’s, hence contradict the conditions.
  
  × Not possible
  
  If Mrs. Bee wins then two out of three matches won by women this is wrong because women win only 1 match.
  
  × Not possible
  
  Women win only one game, hence contradicts the condition.
  
  
  
  
  Thus Mr. Aye does not lose any match.
• 6 years agoHelpfull: Yes(1) No(0)