Latest elitmus Aptitude Question SOLUTION: there are 137 player taking part in a tennis tournaments to be played on a knock-out bases(on personloses.he is out of the tournament).Byes will be given to players to the next rou

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(#M40036579) ELITMUS question apti Keep an EYE

there are 137 player taking part in a tennis tournaments to be played on a knock-out bases(on personloses.he is out of the tournament).Byes will be given to players to the next round if the number of players in any round is odd.How ,many matches must be played to decide the ultimate winner?

Asked In elitmus ranjeet (10 years ago)

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INDRAJEET KUMAR HAPPY  (10 years ago)

136

The matches in the championship may be visualized (starting backwards from the finals) as follows:

Match Total Matches Total Players
Finals 1 2
Semi Finals 1 + 2 = 3 4
Quarter Finals 1 + 2 + 4 = 7 8
Pre-Quarter Finals 1 + 2 + 4 + 8 = 15 16
Note that half the players lose their matches at each stage and are out of the tournament.

More importantly, the above table shows that the total number of matches played is always one less than the number of players participating in the tournament. This is basically because all players except the champion have to lose one match.

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HARSHA   (10 years ago)

answer c)136
matches players
--------- --------
1 2
2 4
4 8
8 16
16 32
32 64
64 128
128 256

in 1st round total 128 matches need to play we need 256 players but we have 137 players then for each match distribute one player again distribute rest of persons as their opponents then u can send only 9 opponents to them so only 9 matches possible in 1st round

then add all matches of other rounds 9+64+32+16+8+4+2+1=136

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ranjeet  (10 years ago)

option
a) 69 b)130 c)136 d)137

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