# Q. In a tournament of Chess having 150 entrants, a player is eliminated whenever he loses a match. It is given that no match results in a tie/draw. How many matches are played in the entire tournament?

a. 151

b. 150

c. 149

d. 148

Correct Answer: c. 149

#### Question from UPSC Prelims 2022 CSAT Paper

**Explanation : **

## In a tournament of Chess

In a **knockout chess tournament** like this, each player is eliminated after losing a match. Since there are **150 entrants**, only one player remains undefeated at the end of the tournament, and this player is the winner.

To find out how many matches are played, we can think about it in terms of elimination: for every player except the winner, they have to lose exactly one match to be eliminated. Since there are 150 entrants and only one winner, 150 – 1 = 149 players need to be eliminated.

Each elimination comes from one match, so there are 149 matches played in the entire tournament.