1.  The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner?

A. 10
B. 15
C. 29
D. 61

Answer: Option C

Explanation:

Clearly, every member except one must lose one gain to decide the winner.
Thus, minimum number of matches to be played = 30 - 1 = 29.