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If the drama club and music club are combined, what percent [#permalink]
13 Aug 2009, 21:12
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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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prude_sb wrote: 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 Do you know - the members in Drama club and Music club are mutually exclusive?
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GMAT TIGER wrote: prude_sb wrote: 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 Do you know - the members in Drama club and Music club are mutually exclusive? That is the key ...i did not consider that ... i picked c but ans is e
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GMAT TIGER wrote: prude_sb wrote: 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 Do you know - the members in Drama club and Music club are mutually exclusive? Good one GMAT TIGER!! +1 for you !!
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pretty good answer.
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GMATTIGER, could you explain this more clearer, please. Or, maybe, someone else. What do you mean by saying they are mutually exclusive? How can this be? I do not get it... picked choice C... Will kudos for clarity. Thanks in advance.
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Here, we need to know whether some people might belong to both the drama club and the music club - that's what GMAT TIGER is getting at when he asks if the clubs are mutually exclusive. If we knew that no one belonged to both clubs, the answer would be C (and 25/36 would be male), but if some people might belong to both clubs, we might have, for example, 10 men who are in both clubs, 5 men and 1 woman in the drama club only, and 10 women in the music club only, leaving us with 15/26 who are male. Of course there are many other possibilities.
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IanStewart wrote: Here, we need to know whether some people might belong to both the drama club and the music club - that's what GMAT TIGER is getting at when he asks if the clubs are mutually exclusive. If we knew that no one belonged to both clubs, the answer would be C (and 25/36 would be male), but if some people might belong to both clubs, we might have, for example, 10 men who are in both clubs, 5 men and 1 woman in the drama club only, and 10 women in the music club only, leaving us with 15/26 who are male. Of course there are many other possibilities. aaaa, I got it! Didn't even think about this possibility. Thank you, IanStewart. Kudos, as promised.
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Just had a doubt. Are we making here an assumption that both the sets are not mutually exclusive? This information is not mentioned in the question anyway. Also do we need to assume similar information when not given in GMAT ques?
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Quote: Are we making here an assumption that both the sets are not mutually exclusive? Nope. We are refraining from assuming that they are. This doesn't mean that we are assuming that they aren't. Instead, we are acknowledging the possibility that they may not be. | Also do we need to assume similar information when not given in GMAT ques? |
...not sure I know what you mean by "similar information". In DS, we can only ever make (and should always make) 2 assumptions: --The statements provide TRUE information --The statements will never contradict each other.
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To Kaplan GMAT Instructor, I am not clear. Should we assume here that there are no common members between these clubs? rp
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Hi rpgmat, We should not assume anything, yes or no. We have no idea whether or not there is any overlap--there could be maximum possible overlap, with all 10 music men in the drama club and the 1 female drama clubber in the music club, but there could also be no overlap at all. And, depending on the overlap (or lack thereof), we get different answer to the percentage of male students in the new, combined club. Since this unknown variable affects our answers, it means the question is unanswerable--and that means that the Data Sufficiency answer is (E), the statements are NOT sufficient even TOGETHER.
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good reinforcement for me "not to assume"
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Ans is : E since either of the statements, total number of the members are not available. so E wins
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