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If the drama club and music club is combined, what percent

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If the drama club and music club is combined, what percent  [#permalink]

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21 Feb 2011, 05:23
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36% (01:06) correct 64% (01:07) wrong based on 524 sessions

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If the drama club and music club is combined, what percent of the combined membership is male?

(1) Of the 16 members of the drama club, 15 are male.

(2) Of the 20 members of the music club, 10 are male.
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21 Feb 2011, 06:25
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fluke wrote:
1) 15 are male and 1 female in Drama club. Tells nothing about music club. Not sufficient.
2) 10 are male and 10 female in Music club. Tells nothing about drama club. Not sufficient.

Combining both;

25 Males out of 36 members; % of male found.
Sufficient.

Ans: "C"

No C is not right. We cannot assume that there is no overlap between the clubs.

If the drama club and music club is combined, what percent of the combined membership is male?

(1) Of the 16 members of the drama club, 15 are male. Not sufficient.

(2) Of the 20 members of the music club, 10 are male. Not sufficient.

(1)+(2) Since we don't know how many members of the drama club were also the members of the music club then we can not assume that there wasn't any overlap between the clubs and simply write (15+10)/(16+20), so even taken together statements are not sufficient.

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Re: Tough GMAT prep DS  [#permalink]

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21 Feb 2011, 05:51
1) 15 are male and 1 female in Drama club. Tells nothing about music club. Not sufficient.
2) 10 are male and 10 female in Music club. Tells nothing about drama club. Not sufficient.

Combining both;

25 Males out of 36 members; % of male found.
Sufficient.

Ans: "C"
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25 Mar 2012, 11:41
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If the drama club and music club are combined, what percent of the combined membership will be male?
1- Of the 16 members of the drama club, 15 are male.
2- Of the 20 members of the music club, 10 are male.

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Re: If the drama club and music club is combined, what percent  [#permalink]

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13 Oct 2013, 06:44
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mydreambschool wrote:
If the drama club and music club is combined, what percent of the combined membership is male?

(1) Of the 16 members of the drama club, 15 are male.

(2) Of the 20 members of the music club, 10 are male.

One important takeaway here is that questions in GMAT are NEVER that easy, I guess unless you are doing extremely bad in the exam but even then. Always think twice before answering something that seems really easy or "obvious"
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Re: If the drama club and music club is combined, what percent  [#permalink]

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09 Sep 2015, 17:54
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Hi All,

DS questions are built to test a variety of skills besides 'math skills', including organization, accuracy, thoroughness, attention-to-detail, ability to see that there is more than one possible answer and the ability to prove that you're correct (when dealing with limited information).

While this prompt looks (and is) relatively simple, it does test the thoroughness of your thinking....

Does the prompt say that the members of each club are unique? Is it possible that someone could be in BOTH clubs at the same time? And how would THAT impact the math involved?

It's important to consider what the answer to any given DS question could be. In many cases, there is more than just the 'obvious' solution.

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Rich
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Re: If the drama club and music club is combined, what percent  [#permalink]

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21 Dec 2016, 06:23
Bunuel wrote:
fluke wrote:
1) 15 are male and 1 female in Drama club. Tells nothing about music club. Not sufficient.
2) 10 are male and 10 female in Music club. Tells nothing about drama club. Not sufficient.

Combining both;

25 Males out of 36 members; % of male found.
Sufficient.

Ans: "C"

No C is not right. We cannot assume that there is no overlap between the clubs.

If the drama club and music club is combined, what percent of the combined membership is male?

(1) Of the 16 members of the drama club, 15 are male. Not sufficient.

(2) Of the 20 members of the music club, 10 are male. Not sufficient.

(1)+(2) Since we don't know how many members of the drama club were also the members of the music club then we can not assume that there wasn't any overlap between the clubs and simply write (15+10)/(16+20), so even taken together statements are not sufficient.

So you are telling when we encounter such question we should assume overlap even without it explicityly mentioning it?? it is pretty confusing that way.
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Re: If the drama club and music club is combined, what percent  [#permalink]

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21 Dec 2016, 08:52
AmritaSarkar89 wrote:
Bunuel wrote:
fluke wrote:
1) 15 are male and 1 female in Drama club. Tells nothing about music club. Not sufficient.
2) 10 are male and 10 female in Music club. Tells nothing about drama club. Not sufficient.

Combining both;

25 Males out of 36 members; % of male found.
Sufficient.

Ans: "C"

No C is not right. We cannot assume that there is no overlap between the clubs.

If the drama club and music club is combined, what percent of the combined membership is male?

(1) Of the 16 members of the drama club, 15 are male. Not sufficient.

(2) Of the 20 members of the music club, 10 are male. Not sufficient.

(1)+(2) Since we don't know how many members of the drama club were also the members of the music club then we can not assume that there wasn't any overlap between the clubs and simply write (15+10)/(16+20), so even taken together statements are not sufficient.

So you are telling when we encounter such question we should assume overlap even without it explicityly mentioning it?? it is pretty confusing that way.

It's the other way around: we cannot assume that there is no overlap between the clubs.
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Re: If the drama club and music club is combined, what percent  [#permalink]

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12 Feb 2017, 01:05
We don't know the overlap, i.e the number of folks in the drama club, who are also members of the music club and vice versa.
Take this example,
20 members of the music club - 10 are male
all those 10 are also part of the drama club,
total ## of unique members: (16+ 20) - 10 = 26
## of males = 15
so % of males : 15/26 * 100

what if all members were exclusive, ie. no overlap
then % of males : 25/26 * 100

Therefore: E
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Re: If the drama club and music club is combined, what percent  [#permalink]

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30 Aug 2018, 08:55
i dont know why gmat trick us this way. tricking should be on logic not on wording of question.
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Re: If the drama club and music club is combined, what percent  [#permalink]

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27 Jan 2019, 08:08
mydreambschool wrote:
If the drama club and music club is combined, what percent of the combined membership is male?

(1) Of the 16 members of the drama club, 15 are male.

(2) Of the 20 members of the music club, 10 are male.

$$? = {{\# \,{\rm{drama}}\,{\rm{males}}\,\,\, + \,\,\,\# \,{\rm{music}}\,{\rm{males}}\,\,\, - \,\,\,\# \left( {\,{\rm{drama}}\,{\rm{and}}\,{\rm{music}}\,\,\,{\rm{males}}} \right)} \over {\# \,{\rm{drama}}\,\,\, + \,\,\,\# \,{\rm{music}}\,\,\, - \,\,\,\# \left( {\,{\rm{drama}}\,{\rm{and}}\,{\rm{music}}} \right)}}$$

$$\left( {1 + 2} \right)\,\,\left\{ \matrix{ \,\# \,{\rm{drama}}\,\, = \,\,16\,\,\,\,,\,\,\,\,\# \,\,{\rm{drama}}\,{\rm{males}}\,\,{\rm{ = 15}} \hfill \cr \,\# \,{\rm{music}}\,\,{\rm{ = }}\,\,{\rm{20}}\,\,\,\,,\,\,\,\,\# \,\,{\rm{music}}\,{\rm{males}}\,\,{\rm{ = 10}} \hfill \cr} \right.$$

$$? = {{15\,\, + \,\,10\,\, - \,\,\# \left( {\,{\rm{drama}}\,{\rm{and}}\,{\rm{music}}\,\,\,{\rm{males}}} \right)} \over {16\,\, + \,\,20\,\, - \,\,\# \left( {\,{\rm{drama}}\,{\rm{and}}\,{\rm{music}}} \right)}}$$

Now I believe the (1+2) bifurcation viability is trivially seen, hence the answer is (E), indeed.

We follow the notations and rationale taught in the GMATH method.

Regards,
Fabio.
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Re: If the drama club and music club is combined, what percent   [#permalink] 27 Jan 2019, 08:08
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