Question: Who did not play a game?
Explanation:
Sharma win more matches than Oberois, i.e., Sharmas should win at least 2 out of 3 matches.
Case 1: Considering Sharmas play the first match.
Case 1(i): Mr. Sharma wins the match
If Mr. Sharma wins the 1st match he can’t win the 2nd match. (A person cannot win more than 1 match)
Mrs. Sharma will have to play the 3rd match and win it since Sharmas have to win at least 2 matches.
Since men have to win 2 matches, Mr. Oberoi will have to win the 2nd match.
Case 1(ii): Mrs. Sharma wins the match
If Mrs. Sharma wins the 1st match she can’t win the 2nd match. (A person cannot win more than 1 match)
Mr. Sharma will have to play the 3rd match and win it since Sharmas have to win at least 2 matches.
Since men have to win 2 matches, Mr. Oberoi will have to win the 2nd match.
Case 2 : Considering Oberois play the first match.
Case 2 (i): Mr. Oberoi wins the match
If Mr. Oberoi wins the 1st match he can’t win the 2nd match.
Sharma have to win the remaining 2 games.
Since men have to win 2 matches, Mr. Oberoi will have to win the 2nd match.
This is not possible since in only the first match a couple played.
Case 2(ii): Mrs. Oberoi wins the match
If Mrs. Oberoi wins the first match, Sharmas will have to win the next two matches.
But men have to win 2 matches hence Mr. Sharma will have to win the remaining matches which is not possible since a person cannot win more than one match.
∴ This can is also not possible.
∴ Only two cases are possible:
Final Case 1:
Final Case 2:
Hence, option (c).