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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If the drama club and music club are combined, what percent tagged by: BTGmoderatorLU ##### This topic has 2 expert replies and 2 member replies ### Top Member ## If the drama club and music club are combined, what percent ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: GMAT Prep 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. The OA is E ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15362 messages Followed by: 1866 members Upvotes: 13060 GMAT Score: 790 BTGmoderatorLU wrote: Source: GMAT Prep 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. The OA is E Clearly, neither statement alone is sufficient. Statements combined: Case 1: No one is a member of both clubs Total males = 15+10 = 25. Total members = 16+20 = 36. Resulting fraction: (total males)/(total members) = 25/36. Case 2: Every male in the music club is also in the drama club, but no females belong to both. Males in both clubs = 10. Males in only the drama club = (total males in drama) - (males in both) = 15-10 = 5. Total males = males in both + males in only drama = 10+5 = 15. Total members = total music + total drama - males in both = 16 + 20 - 10 = 26. Resulting fraction: (total males)/(total members) = 15/26. Since different fractions are possible, the two statements combined are INSUFFICIENT. The correct answer is E. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### Top Member Legendary Member Joined 29 Oct 2017 Posted: 975 messages Followed by: 4 members 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 the Music club. Tells nothing about drama club. Not sufficient. Combining both; 25 Males out of 36 members; % of male found. Sufficient. ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 BTGmoderatorLU wrote: Source: GMAT Prep 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. $$? = {{\# \,{\rm{drama}}\,{\rm{males}}\,\,\, + \,\,\,\# \,{\rm{music}}\,{\rm{males}}\,\,\, - \,\,\,\# \left( {\,{\rm{drama}}\,{\rm{and}}\,{\rm{music}}\,\,\,{\rm{males}}} \right)} \over {\# \,{\rm{drama}}\,\,\, + \,\,\,\# \,{\rm{music}}\,\,\, - \,\,\,\# \left( {\,{\rm{drama}}\,{\rm{and}}\,{\rm{music}}} \right)}}$$ $$\left( {1 + 2} \right)\,\,\left\{ \matrix{ \,\# \,{\rm{drama}}\,\, = \,\,16\,\,\,\,,\,\,\,\,\# \,\,{\rm{drama}}\,{\rm{males}}\,\,{\rm{ = 15}} \hfill \cr \,\# \,{\rm{music}}\,\,{\rm{ = }}\,\,{\rm{20}}\,\,\,\,,\,\,\,\,\# \,\,{\rm{music}}\,{\rm{males}}\,\,{\rm{ = 10}} \hfill \cr} \right.$$ $$? = {{15\,\, + \,\,10\,\, - \,\,\# \left( {\,{\rm{drama}}\,{\rm{and}}\,{\rm{music}}\,\,\,{\rm{males}}} \right)} \over {16\,\, + \,\,20\,\, - \,\,\# \left( {\,{\rm{drama}}\,{\rm{and}}\,{\rm{music}}} \right)}}$$ 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. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 1121 messages Followed by: 2 members We need to know the total sum of drama and music club. number and total sum of male or female member of both drama and music club Statement 1 Of the 16 members of the drama club , 15 are male 16 = 100% $$15=\left(16\cdot\frac{100}{10}\right)=93.9\%=94\%$$ 94% are male in the drama club but there is no information about the music club. Hence statement 1 is INSUFFICIENT. Statement 2 Of the 20 members in the music club, 10 are male 20 = 100% $$10=\frac{\left(100\cdot10\right)}{20}=\ 50\%$$ 50% are male in the music club but there are no information about members of the drama group. Hence statement 2 is INSUFFICIENT. Combining statement 1 and 2 together Statement 1 gives information about drama club Statement 2 gives information about the music club Total combined club = drama + music = 16 + 20 = 36 combined members. Total combined males =Male in dance club + Male in music club = 15 + 10 = 25 combined male % of combined members that are male = $$=\frac{25}{36}\cdot100=\ 69.4\%\ =\ 69\%$$ Both statements combined together are SUFFICIENT. $$answer\ is\ Option\ B$$ • Award-winning private GMAT tutoring Register now and save up to$200

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