Question

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. $15$
• B. $29$
• C. $61$
• D. None of these

Answer 1

Answer: (B)

$29$

Clearly, every member except one (i.e. the winner) must lose one game to decide the winner. Thus, minimum number of matches to be played $=30-1=29$.