What fraction of this year's graduating students at a : GMAT Data Sufficiency (DS)
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# What fraction of this year's graduating students at a

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Intern
Joined: 23 Jun 2009
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21 Jul 2009, 20:15
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Question Stats:

60% (01:43) correct 40% (00:31) wrong based on 414 sessions

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What fraction of this year's graduating students at a certain college are males?

(1) Of this year's graduating students, 33 percent of the males and 20 percent of the females transfered from another college.
(2) Of this year's graduating students, 25 percent transfered from another college.

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-fraction-of-this-year-s-graduating-students-at-a-97716.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 09 Sep 2012, 02:57, edited 2 times in total.
Renamed the topic and edited the question.
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Re: Take a shot at this DS question? Why is the answer C, not E? [#permalink]

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21 Jul 2009, 21:04
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Let us consider there are m male and f female students.
1) 33% male students are transferred from other college = m/3
20% female students are transferred from other college = f/5
Total no: of students transferred = m/3 + f/5

2) 25% students are transferred from other college, so
Total no: of students transferred = (m+f)/4

from 1 & 2

m/3 + f/5 = (m + f)/4

on solving we get m/f = 3/5

So "C" is the answer not "E"
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Re: Take a shot at this DS question? Why is the answer C, not E? [#permalink]

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21 Jul 2009, 21:15
Aleehsgonji wrote:
Let us consider there are m male and f female students.
1) 33% male students are transferred from other college = m/3
20% female students are transferred from other college = f/5
Total no: of students transferred = m/3 + f/5

2) 25% students are transferred from other college, so
Total no: of students transferred = (m+f)/4

from 1 & 2

m/3 + f/5 = (m + f)/4

on solving we get m/f = 3/5

So "C" is the answer not "E"

Hey, thanks for the response. However, the question is asking for the fraction of the graduating students (i.e m+f) that are males, and not the ratio males to females amongst the graduating students. Having said that, it suggest to me that we are looking for m/(m+f) and not just m/f. If we are looking for m/f, then it looks to me like we would be able to solve. However, looking for m/(m+f), what am I missing?
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Re: Take a shot at this DS question? Why is the answer C, not E? [#permalink]

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21 Jul 2009, 21:31
Fraction of male students graduating = m/(m+f)
= 3/(3 +5)
= .375

In this scenario, if we get the m/f ratio, then it is possible to find male, female fraction.
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08 Sep 2012, 10:22
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It should be C.

Let x be the no of males in the college
Let y be the no of females in the college

To find x/x+y

1) From statement 1 we know

.33x and .20y out of x and y transferred from another college. We cant find x+y or x/x+y

Insufficient

2) .25(x+y) transferred from other college. We cant find x/x+y with just this Insufficient

From 1) and 2)
we know
.33x+.20y = .25(x+y)

From this we can find the ratio x/x+y
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08 Sep 2012, 16:35
nandy163 wrote:
It should be C.

Let x be the no of males in the college
Let y be the no of females in the college

To find x/x+y

1) From statement 1 we know

.33x and .20y out of x and y transferred from another college. We cant find x+y or x/x+y

Insufficient

2) .25(x+y) transferred from other college. We cant find x/x+y with just this Insufficient

From 1) and 2)
we know
.33x+.20y = .25(x+y)

From this we can find the ratio x/x+y

I still feel that it is E. We know the percent who transferred in, but not how the original size of the girls and boys. For example, the there could have been 3 boys (one of which transferred) and 100 girls (20 of which transferred) or there could have been 100 boys (33 of which transferred) and 5 girls (1 of which transferred). Both of these would make two different fractions (I think). What you did was find the fraction of boys who transferred to total people who transferred. I could be wrong though...
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09 Sep 2012, 02:58
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Expert's post
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uzonwagba wrote:
What fraction of this year's graduating students at a certain college are males?

(1) Of this year's graduating students, 33 percent of the males and 20 percent of the females transfered from another college.
(2) Of this year's graduating students, 25 percent transfered from another college.

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-fraction-of-this-year-s-graduating-students-at-a-97716.html

Question: $$\frac{m}{m+f}=?$$

Obviously taken separately each statement is not sufficient.

(1)+(2) # of transferred students from (1) equals to $$033m+0.2f$$ and from (2) it equals to $$0.25(m+f)$$ --> $$0.33m+0.2f=0.25m+0.25f$$ --> $$\frac{m}{f}=\frac{5}{8}$$ --> $$\frac{m}{m+f}=\frac{5}{13}$$. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-fraction-of-this-year-s-graduating-students-at-a-97716.html
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Re: What fraction of this year's graduating students at a   [#permalink] 09 Sep 2012, 02:58
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