Latest MBA Aptitude Question SOLUTION: 139 persons have signed for an elimination tournament.All players are to be paired for the first round but because 139 is an odd number ,one player gets a bye, which promotes him t

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(#M40014815) MBA question number systems, progressions Keep an EYE

139 persons have signed for an elimination tournament.All players are to be paired for the first round but because 139 is an odd number ,one player gets a bye, which promotes him to to the second round,without playing in the first round.This continues in subsequent rounds as well.Find the minimum number of matches that must be played to determine the champion.

1) 136
2) 137
3) 138
4) 139

Asked In MBA (11 years ago)

Unsolved Read Solution (3)

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Soureek Dey  (8 years ago)

This can be logically done in the following manner. There are 139 players in all. We want to determine 1 champion among them.

So all except 1 should lose. Since a player can lose only once and since any match produces only one loser, to produce 138 losers, there should be 138 matches that should be played.

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Soureek Dey  (8 years ago)

Persons=139; 1 bye
1st round:138=2*69
2nd round=69+1=70=2*35
3rd round=35=2*17; 1 bye
4th round=17+1=18=2*9
5th round=9=2*4; 1 bye
6th round=4+1=5=2*2; 1 bye
7th round=2+1=3=2*1; 1 bye
8th round=1+1=2=2*1
Total matches=69+35+17+9+4+2+1+1=138

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rahul kumar  (7 years ago)

its like (n-1)...

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