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# Out of 50 people, there are 35 people with college degrees and 30 fema

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7252
GMAT 1: 760 Q51 V42
GPA: 3.82
Out of 50 people, there are 35 people with college degrees and 30 fema  [#permalink]

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17 Jul 2017, 01:58
00:00

Difficulty:

25% (medium)

Question Stats:

83% (01:15) correct 17% (01:14) wrong based on 71 sessions

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Out of 50 people, there are 35 people with college degrees and 30 females. How many females with college degree are there?

1) 10 are males with college degree.
2) 5 are females without college degree.

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Joined: 24 Apr 2016
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Re: Out of 50 people, there are 35 people with college degrees and 30 fema  [#permalink]

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17 Jul 2017, 10:39

Please refer to the detailed solution.
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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7252
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: Out of 50 people, there are 35 people with college degrees and 30 fema  [#permalink]

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19 Jul 2017, 01:57
==> If you modify the original condition and the question, it is a 2 by 2 question that appears most frequently on gmat math.

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7.19.png [ 2.96 KiB | Viewed 636 times ]

According to the table above, there are 4 variables (w,x,y,z) and 3 equations (w+x+y+z=50, w+y=35, w+x=30). In order to match the number of variables to the number of equations, there must be 1 more equation. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer. You get con 1) = con 2), and then you get w=25.

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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Re: Out of 50 people, there are 35 people with college degrees and 30 fema   [#permalink] 19 Jul 2017, 01:57
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