B-Guru Posted January 4, 2008 Share Posted January 4, 2008 Of the 200 members of a certain association, each member who speaks german also speaks english, and 70 of the members speak only spanish. if no member speaks all three languages, how many of the members speak two of the three languages? (1) 60 of the members speak only english. (2) 20 of the members do not speak any of the three languages. Quote Link to comment Share on other sites More sharing options...
B-Guru Posted January 4, 2008 Author Share Posted January 4, 2008 Any takers? Quote Link to comment Share on other sites More sharing options...
mbawannabe Posted January 5, 2008 Share Posted January 5, 2008 Emphasis is that nobody speaks all three language. Combining I and II So, there cant be Sp and English speaker as we know some germans speak english. Draw a venn diagram and you will see Spanish circle standing alone while German one is enclosed in English. So we need to find how many people speak German. 200 - 20 = 60 + 70 + German [they speak English as well] German = 180 - 130 C. Quote Link to comment Share on other sites More sharing options...
winjeemat Posted January 7, 2008 Share Posted January 7, 2008 Emphasis is that nobody speaks all three language. Combining I and II So, there cant be Sp and English speaker as we know some germans speak english. Draw a venn diagram and you will see Spanish circle standing alone while German one is enclosed in English. So we need to find how many people speak German. 200 - 20 = 60 + 70 + German [they speak English as well] German = 180 - 130 C. IMO the bolded text is not correct. Since all members who spk English(E) do not spk German(G), there would be some members who would spk both English and Spanish (S). Moreover, the Q stem is asking about how many members speak two of the three languages. Symbolically we need to find out the value of N(S & G only) + N(S & E only) + N(G & E only) ........where N denotes no of memebrs. Given .....N(S & G only) = 0.... &.... N(S & G & E) = 0 St 1 & St 2: N(S or G or E) = N(only S) + N(only G) + N(only E) + N (G&E only) + N(S&E only) + N (S&G only) + N (S & G & E) 200-20 .........= ...70 ......+ ...0........ + .....60.... + N(G & E only) + N(S& E only) + .......0 ........+ .........0....... N(S &E only) + N(G & E only) = 50 ........SUFF Ans IMO C Quote Link to comment Share on other sites More sharing options...
gmatcraze Posted August 23, 2008 Share Posted August 23, 2008 Of the 200 members of a certain association, each member who speaks german also speaks english, and 70 of the members speak only spanish. if no member speaks all three languages, how many of the members speak two of the three languages? (1) 60 of the members speak only english. (2) 20 of the members do not speak any of the three languages. Can someone help to explain and solve this DS problem again .... thanks .... Quote Link to comment Share on other sites More sharing options...
gmatcraze Posted August 25, 2008 Share Posted August 25, 2008 IMO the bolded text is not correct. Since all members who spk English(E) do not spk German(G), there would be some members who would spk both English and Spanish (S). Moreover, the Q stem is asking about how many members speak two of the three languages. Symbolically we need to find out the value of N(S & G only) + N(S & E only) + N(G & E only) ........where N denotes no of memebrs. Given .....N(S & G only) = 0.... &.... N(S & G & E) = 0 St 1 & St 2: N(S or G or E) = N(only S) + N(only G) + N(only E) + N (G&E only) + N(S&E only) + N (S&G only) + N (S & G & E) 200-20 .........= ...70 ......+ ...0........ + .....60.... + N(G & E only) + N(S& E only) + .......0 ........+ .........0....... N(S &E only) + N(G & E only) = 50 ........SUFF Ans IMO C How did you conclude that N(S & G only) = 0.... :hmm: Quote Link to comment Share on other sites More sharing options...
mathrupradee Posted June 5, 2012 Share Posted June 5, 2012 How did you conclude that N(S & G only) = 0.... :hmm: He comes to conclusion that (S&G)=0 because in the problem it says everyone who speaks german speaks english. And Their is no one who speaks all the three. If S&G !=0 then it will contradict the given data. So 50 is correct :) Quote Link to comment Share on other sites More sharing options...
HhjDubai Posted August 14, 2012 Share Posted August 14, 2012 IMO c Both statements are needed Quote Link to comment Share on other sites More sharing options...
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