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?

The tournament starts with 150 players. After first round 75 remain (75 matches are held & 75 players are eliminated). After second round 38 remain (37 matches are held & 37 players are eliminated, 1 qualifies directly to next round) Similarly, after third round 19 remain.(19 matches) After fourth round, 10 remain.(9 matches) After fifth round 5 remain.(5 matches) After sixth round 3 remain.(2 matches) 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