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05 Apr 2017, 04:58
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D
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A soccer tournament is organized with 32 teams participating, so that every game must end with a winner and the losing team is eliminated from the tournament until there is one team left. If each game is between two teams, what is the total number of games played in the tournament?
A. 5
B. 15
C. 16
D. 31
E. 32
A. 5
B. 15
C. 16
D. 31
E. 32
05 Apr 2017, 06:17
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Bunuel
A soccer tournament is organized with 32 teams participating, so that every game must end with a winner and the losing team is eliminated from the tournament until there is one team left. If each game is between two teams, what is the total number of games played in the tournament?
A. 5
B. 15
C. 16
D. 31
E. 32
A. 5
B. 15
C. 16
D. 31
E. 32
Fact #1: The tournament begins with 32 teams
Fact #2: With each game played, 1 team leaves
Fact #3: The tournament continues until only 1 team remains.
So, if there are 31 games, there will be 31 teams that leave the tournament, leaving only 1 team (the winning team).
Answer: D
Cheers,
Brent
05 Apr 2017, 08:31
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32/2 = 16
16/2 = 8
8/ 2 = 4
4/2 = 2
2/2 = 1
16 + 8 + 4 + 2 + 1 = 31
Answer is D
16/2 = 8
8/ 2 = 4
4/2 = 2
2/2 = 1
16 + 8 + 4 + 2 + 1 = 31
Answer is D
