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

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

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New post Updated on: 24 Feb 2015, 12:35
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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

Originally posted by Bhai on 24 Dec 2005, 21:20.
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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New post 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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Re: In a sample of college students, 40 percent are third year students an [#permalink]

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New post 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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Re: College students [#permalink]

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New post 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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Re: College students [#permalink]

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New post 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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Re: College students [#permalink]

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New post 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

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

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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


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

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

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New post 28 Feb 2015, 06:56
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Hi,

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

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

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New post 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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New post 13 Dec 2017, 17:24
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


We can let the total number of students be 100. Since 40% are third-year students, 40 students are third-year. Thus, 60 students are not third-year. Since 70% are not second-year, 70 students are not second-year. Thus, 100 - 70 = 30 students are second-year.

Since 60 students are not third-year and 30 students are second-year, the fraction of students who are not third-year but are second-year is:

30/60 = 1/2

Answer: D
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Re: In a sample of college students, 40 percent are third year students an   [#permalink] 13 Dec 2017, 17:24
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