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

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SVP
Joined: 16 Oct 2003
Posts: 1801
In a sample of college students, 40 percent are third year students an [#permalink]

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24 Dec 2005, 21:20
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Question Stats:

76% (02:34) correct 24% (01:47) wrong based on 279 sessions

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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
[Reveal] Spoiler: OA

Last edited by Bunuel on 24 Feb 2015, 12:35, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
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Re: In a sample of college students, 40 percent are third year students an [#permalink]

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24 Dec 2005, 22:23
D

First Year = F
Second Year = S
Third Year = T = 40

F + T = 70
So F = (F+T) - T = 70-40 = 30 and S = Total - (F+T) = 100 - 70 = 30

Not third year students = F + S = 30 + 30 = 60

Fraction = S/(F + S) = 30/60 = 1/2
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Director
Joined: 10 Oct 2005
Posts: 717
Re: In a sample of college students, 40 percent are third year students an [#permalink]

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25 Dec 2005, 06:45
ps_dahiya wrote:
D

First Year = F
Second Year = S
Third Year = T = 40

F + T = 70
So F = (F+T) - T = 70-40 = 30 and S = Total - (F+T) = 100 - 70 = 30

Not third year students = F + S = 30 + 30 = 60

Fraction = S/(F + S) = 30/60 = 1/2

Agree!Good approach
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Joined: 15 Apr 2005
Posts: 415
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Re: In a sample of college students, 40 percent are third year students an [#permalink]

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26 Dec 2005, 01:18
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Bhai 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

Let the number of students be 100.

3rd year = 40
First year or 3rd year = 70 => First year = 30
and Second year = 30
Second /First + Second = 30/60 = 1/2
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06 May 2011, 11:47

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06 May 2011, 12:04
if the total sample is 100

then T T!

s 0 30 30

s! 40 30 70
40 60 100

30/60 gives 1/2
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06 May 2011, 15:14
= 30/60. = 1/2

Intern
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08 May 2011, 00:16
Assume Total students = 100

3rd year students = 40 -- Frm the Question

So, 1st + 3rd + 4th year students = 70

2nd year students = 30

students who are not third year = 60

Fraction of 2nd years in those 60 sudents = 30/60 = 1/2.
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08 May 2011, 07:52
0.4S - 3rd yr students

0.7S - not 2nd yr students

0.6S - not 3rd yr students

0.3S - 2nd yr Students

=> 0.3S/0.6S = 1/2

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

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24 Feb 2015, 12:30
Bhai 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

Hi there! Here is the approach I took:

Third year students: 40%
Not Third Year: 60%

Not Second Year: 70%
Second Year: 30%

What fraction of those students who are not third-year students are second-year students?

We know those who are not third year are 60% and we know second year students are 30%

30/60 simplifies to 1/2

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

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28 Feb 2015, 06:56
3
KUDOS
Hi,

I used the table method. Assume, there are 100 students in total. As you can see, 30/60 = 1/2, hence ANSWER: D

TO

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

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28 Feb 2015, 08:22
Bhai 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

Since we're talking till third year students so we have first year, second year and third year students.
Given that
T = 40 ----- (I)
F + T = 70 ----- (II)

From (I) and (II),
F = 30
Hence S = 100 - 40 - 30 = 30

Those who are not third year students = F + S = 30 + 30 = 60
Fraction of second year and those who are not third year students = 30/60
= 1/2
Hence option D

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

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28 Apr 2016, 23:04
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In a sample of college students, 40 percent are third year students an   [#permalink] 28 Apr 2016, 23:04
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