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In a certain school, 50 percent of all male students and 60 percent of

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Math Expert
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Joined: 02 Sep 2009
Posts: 55639
In a certain school, 50 percent of all male students and 60 percent of  [#permalink]

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New post 07 Jan 2019, 04:13
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (01:36) correct 14% (01:43) wrong based on 54 sessions

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Location: India
Concentration: Sustainability, Marketing
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Re: In a certain school, 50 percent of all male students and 60 percent of  [#permalink]

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New post 07 Jan 2019, 04:23
Bunuel wrote:
In a certain school, 50 percent of all male students and 60 percent of all females students play a varsity sport. If 40 percent of the students at the school are male, what percent of the entire student body DO NOT play a varsity sport?

A. 44%
B. 50%
C. 55%
D. 56%
E. 60%



can be solved using 2x2 matrix grid



Male Female Total

Varsity 20 36 56
N Var 20 24 44
40 60 100
IMO A 44%
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Joined: 19 Jan 2018
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GMAT 1: 610 Q44 V30
Re: In a certain school, 50 percent of all male students and 60 percent of  [#permalink]

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New post 07 Jan 2019, 04:46
1
1
Not sport male out of total = \(\frac{1}{2}*\frac{2}{5} = \frac{1}{5}\)
Not sport women out of total = \(\frac{2}{5}*\frac{3}{5} = \frac{6}{25}\)

Together: \(\frac{11}{25} = \frac{44}{100}\), answer (A)
GMAT Club Bot
Re: In a certain school, 50 percent of all male students and 60 percent of   [#permalink] 07 Jan 2019, 04:46
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