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# In a sample of college students, 40 percent are third year

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Director
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In a sample of college students, 40 percent are third year [#permalink]

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30 Jan 2008, 18:29
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In a sample of college students, 40 percent are third year
students and 70 percent are not second-year
students. What fraction of those students who are not
third-year students are second-year students?
(A) 3/4
(B) 2/3
(C) 4/7
(D) 1/2
(E) 3/7
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Re: PS: Gmat Paper test [#permalink]

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30 Jan 2008, 19:35
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jimmyjamesdonkey wrote:
In a sample of college students, 40 percent are third year
students and 70 percent are not second-year
students. What fraction of those students who are not
third-year students are second-year students?
(A) 3/4
(B) 2/3
(C) 4/7
(D) 1/2
(E) 3/7

total - 100
TY - 40
FY + TY = 70 => FY = 30 => SY = 30
SY/(FY+SY) = 30/60 = 1/2

Ans D

Very good question +1. I was not able to crack it in 2 mins....
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Director
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Re: PS: Gmat Paper test [#permalink]

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30 Jan 2008, 20:19
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Correct, I used a table to solve this.
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Re: PS: Gmat Paper test [#permalink]

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31 Jan 2008, 15:39
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Pretty straight forward: always use a total of 100

40% [u]are[/u] 3rd years = 40 students means the remaining 60 are 2nd year students

70% [u]are not[/u] 2nd years = 30 students

Not 3rd years = 60 and 2nd years = 30 students

= 30 / 60 = 1/2
Re: PS: Gmat Paper test   [#permalink] 31 Jan 2008, 15:39
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# In a sample of college students, 40 percent are third year

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