In a tournament of Chess having 150 entrants a player is eliminated whenever he loses a match It is ...........

Math and Mental Ability Simplification

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?

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151

150

149

148

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Explanation:

The tournament starts with 150 players.
After first round (in which 75 matches are held): 75 players are eliminated, and 75 remain.
After second round (in which 37 matches are held): 37 players are eliminated, and 38 remain.
After third round (in which 19 matches are held): 19 players are eliminated, and 19 remain.
After fourth round (in which 9 matches are held): 9 players are eliminated, and 10 remain.
After fifth round (in which 5 matches are held): 5 players are eliminated, and 5 remain.
After sixth round (in which 2 matches are held): 2 players are eliminated, and 3 remain.
After seventh round (in which 1 match is held): 1 player is eliminated, and 2 remain.
After eighth round (in which 1 match is held): 1 player is eliminated, and 1 remain.
So, total number of matches = 75 + 37 + 19 + 9 + 5 + 2 + 1 + 1 = 149