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Of the 200 students at College T majoring in one or more of

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Intern
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Of the 200 students at College T majoring in one or more of [#permalink] New post 12 Oct 2005, 18:21
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A
B
C
D
E

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Of the 200 students at College T majoring in one or more of the sciences, 130 are majoring in chem and 150 are majoring in bio. If at least 30 of the students are not majoring in either chem or bio, then the number of students majoring in both chem and bio could be any number from
A) 20 to 50
B) 40 to 70
C) 50 to 130
D) 110 to 130
E) 110 to 150
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 [#permalink] New post 12 Oct 2005, 19:21
g1 + g2 + neither - both = total

130 + 150 + 30 - x = 200

x = 110

with 30 we get both as 110

question asks for atleast 30 and we can increase the neither to max of 50 ... so the range is 110 to 130 (which is D)

What is OA? Correct?
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 [#permalink] New post 13 Oct 2005, 06:25
I've narrowed down the two choices to D and E.

I just drew Venn diagrams.

N=200
Students not taking Bio or Chem = 30
Students taking Chem = 130
Students taking Bio = 150
Total Students taking Bio and Chem = 280
Students taking Bio or Chem = 200-30 = 170
Excess = 280-170 = 110

Not sure where to go from here. If this were test day I would just select D and move on.
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 [#permalink] New post 13 Oct 2005, 14:10
OA is D :)
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 [#permalink] New post 03 Nov 2005, 23:06
chriswil2005 wrote:
why is the neither poriton maxed out at 50?


Desiguy and Sudhagar are on track, didnt reach the platform. Max is 130 because you cant have studends doing both more than number of chem students.
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  [#permalink] 03 Nov 2005, 23:06
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