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# What percent of the drama club members enrolled at a certain

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SVP
Joined: 16 Oct 2003
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What percent of the drama club members enrolled at a certain [#permalink]

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19 Jul 2004, 19:46
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Difficulty:

5% (low)

Question Stats:

86% (00:49) correct 14% (00:53) wrong based on 71 sessions

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What percent of the drama club members enrolled at a certain school are female students?

(1) Of the female students enrolled at the school, 40 percent are members of the drama club.
(2) Of the male students enrolled at the school, 25 percent are members of the drama club.

Official Guide 12 Question

 Question: 21 Page: 274 Difficulty: 600

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[Reveal] Spoiler: OA

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Director
Joined: 05 Jul 2004
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20 Jul 2004, 00:24
Agree with Ian.. (E)..

We have to find (female drama club members(fdcm) / (Total drama club members(tdcm))
= fdcm / (fdcm + mdcm)

Let 100 Total student
m - male
f - female
f + m = 100 ... 1
1 says : fdcm = 0.4f INSUFFICIENT
2 says : mdcm = 0.25m INSUFFICIENT

Combining : INSUFFICIENT.. (Two variables... 1 equatiton..)

(E)

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Director
Joined: 12 Jul 2007
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14 Dec 2007, 09:08
E.

We can't say until we know the ratio of female:male students at the school.

As it stands there could 1,000 females and 500 males or 4 females and 5,000 males.

Until we get the numbers (or at least a ratio) there's no way to tell.

now if you assume that the number of females at school = number of males

200 students
100 females and 100 males

40% of 100 females = 40 females in drama
25% of 100 males = 25 males in drama

40/65 = 8/13 = ~60%

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Manager
Joined: 10 Jul 2009
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Re: Percent of drama club members? [#permalink]

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10 Aug 2009, 19:16
Let m be the total number of male students and f be the total number of female students in the school.
Number of female students who are part of drama club = .4f
Number of male students who are part of drama club = .25m
Number of drama club members who are females = .4f/(.4f + .25m)
As values of m and f are not known, the value of the above expression cannot be determined.
So answer is E.

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Senior Manager
Joined: 20 Mar 2008
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Re: Percent of drama club members? [#permalink]

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10 Aug 2009, 19:52
You are right, OA is E

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Re: Percent of drama club members?   [#permalink] 10 Aug 2009, 19:52
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# What percent of the drama club members enrolled at a certain

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