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Difficulty:
35%
(medium)
Question Stats:
73% (01:46) correct
27%
(02:03)
wrong
based on 828
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7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?
A. 3
B. 4
C. 5
D. 6
E. 7
A. 3
B. 4
C. 5
D. 6
E. 7
29 Mar 2015, 19:08
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Hi earnit,
As wordy as this prompt is, it's really just a 'limit' question - you have to think about minimum and maximum possibilities given the restrictions in the question.
We're told a few facts about a track competition:
1) 7 teams compete in the competition.
2) There are 20 events in the competition
3) There are NO ties in the competition.
4) No team wins MORE than 3 events
We're asked for the MINIMUM number of teams that would win at least 1 event at this competition.
It's the last fact that is the most 'limiting' piece of information: NO team won more than 3 events....
Let's start by trying to MAXIMIZE the number of events that each team wins.....
If each of the first 6 teams won the MAXIMUM number of events possible, then that would account for 6(3) = 18 of the events. There are 20 total events though - so who won THOSE last 2 events?
It would have to be the only team that's left: the 7th team.
This means that EVERY team won at least one event (and it really means that every team won at least 2 events).
Final Answer:
GMAT assassins aren't born, they're made,
Rich
As wordy as this prompt is, it's really just a 'limit' question - you have to think about minimum and maximum possibilities given the restrictions in the question.
We're told a few facts about a track competition:
1) 7 teams compete in the competition.
2) There are 20 events in the competition
3) There are NO ties in the competition.
4) No team wins MORE than 3 events
We're asked for the MINIMUM number of teams that would win at least 1 event at this competition.
It's the last fact that is the most 'limiting' piece of information: NO team won more than 3 events....
Let's start by trying to MAXIMIZE the number of events that each team wins.....
If each of the first 6 teams won the MAXIMUM number of events possible, then that would account for 6(3) = 18 of the events. There are 20 total events though - so who won THOSE last 2 events?
It would have to be the only team that's left: the 7th team.
This means that EVERY team won at least one event (and it really means that every team won at least 2 events).
Final Answer:
GMAT assassins aren't born, they're made,
Rich
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