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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 ## In Jefferson School, 300 students study French or Spanish or tagged by: AAPL ##### This topic has 2 expert replies and 0 member replies ### Top Member ## In Jefferson School, 300 students study French or Spanish or ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Official Guide In Jefferson School, 300 students study French and Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish? (1) Of the 300 students, 60 do not study French. (2) A total of 240 of the students study Spanish. OA D. ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1756 messages Followed by: 28 members Upvotes: 470 AAPL wrote: Official Guide The question is posted correctly. In Statement 1, Spanish should be there for French. In Jefferson School, 300 students study French and Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish? (1) Of the 300 students, 60 do not study Spanish. (2) A total of 240 of the students study Spanish. OA D. Say, S = Students who study Spanish F = Students who study French B = Students who study both Thus, 300 = S + F - B We are given that S - B = 100 Thus, from 300 = S + F - B, we have F = 200. We have to get the value of B. Let's take each statement one by one. (1) Of the 300 students, 60 do not study Spanish. => F - B = 60 From F = 200 and F - B = 60, we have B = 140. Sufficient. (2) A total of 240 of the students study Spanish. => S = 240 From 300 = S + F - B, F = 200, and S = 240, we have B = 140. Sufficient. The correct answer: D Hope this helps! -Jay _________________ Manhattan Review GRE Prep Locations: GRE Classes Raleigh NC | GRE Prep Course Singapore | GRE Prep Philadelphia | SAT Prep Classes Toronto | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1273 messages Followed by: 29 members Upvotes: 59 Quote: In Jefferson School, 300 students study French OR Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish? (1) Of the 300 students, 60 do not study Spanish. (2) A total of 240 of the students study Spanish. $? = {\text{French}} \cap {\text{Spanish}} = x\,\,\,\,\left( {{\text{see}}\,\,{\text{image}}\,\,{\text{attached}}} \right)$ $\left( 1 \right)\,\,\,300 = 60 + x + 100\,\,\,\,\, \Rightarrow \,\,\,\,x\,\,\,{\text{unique}}$ $\left( 2 \right)\,\,\,240 = x + 100\,\,\,\,\, \Rightarrow \,\,\,\,x\,\,\,{\text{unique}}$ This solution follows 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 • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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