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Bunuel
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A new sport is played with teams made up of 2 forwards, 3 guards, and 21 Dec 2018, 05:41
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

81% (01:48) correct 19% (02:23) wrong based on 64 sessions

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A new sport is played with teams made up of 2 forwards, 3 guards, and 1 goalie. There are 23 players available to play forward, 21 other players available to play guard, and 9 other players available to play goalie. If the maximum possible number of complete teams are formed, how many of the available players will not be on a team?

A. 7
B. 9
C. 11
D. 23
E. 42
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C
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A new sport is played with teams made up of 2 forwards, 3 guards, and 21 Dec 2018, 09:37
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Bunuel
A new sport is played with teams made up of 2 forwards, 3 guards, and 1 goalie. There are 23 players available to play forward, 21 other players available to play guard, and 9 other players available to play goalie. If the maximum possible number of complete teams are formed, how many of the available players will not be on a team?

A. 7
B. 9
C. 11
D. 23
E. 42


Fwd : max can be grouped to 11 teams, guards to 7 teams and goalie to 9 teams

seeing above pattern we can say that at max only 7 teams are possible

so left over players would be from fwd and goalie :

Fwd : 23-14= 9 and goalie 9-7 = 2

9+2 ; 11 IMO C
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A new sport is played with teams made up of 2 forwards, 3 guards, and 08 Jun 2022, 08:20
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Given,
Needed Forwards 2 from 23 players. 23/2=11.5=11 teams
Guards 3 from 21 players. 21/3=7 teams
Goalic 1 from 9 players. 9/1=9 teams
Minimum number of team can be formed 7 teams.
Now for 7 teams
7*2=14-23=-9
7*3=21=0
7*1=7-9=-2
Total=11 players will not be on a
team (C) answer
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Bunuel
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