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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 ##### This topic has 1 expert reply and 1 member reply ### 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 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. OA D Source: Official Guide ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1610 messages Followed by: 27 members Upvotes: 470 BTGmoderatorDC wrote: 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. OA D Source: Official Guide Say # of students who study only French = F; # of students who study only Spanish = S; # of students who study both French and Spanish = B Thus, we have 300 = F + B + S Given that 100 of these students do not study French, we have S = 100. Thus, from 300 = F + B + S, we have F + B = 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 = 60. Thus, from F + B = 200, we have B = 200 - 60 = 140. Sufficient. (2) A total of 240 of the students study Spanish. => S + B = 240 Thus, 100 + B = 240 => B = 140. Sufficient. The correct answer: D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Chennai | Hyderabad | GRE Prep New Delhi | Tarnaka GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 721 messages Followed by: 1 members Given that 300 students study French , spanish or both and there is none who study neither french nor Spanish 300=French + Spanish -(Both french and spanish) If 100 of the students do not study french, that means (Spanish)-(Both) =100 hence 300=(French) + 100 French = 300-100=200 Question= How many of these students study both Spanish and French? Statement 1 Of the 300 students, 60 do not study Spanish. (French)- (Both)= 60 From the question, we know that (French)= 200 200-(Both)= 60 Both=200-60=140 students Statement 1 alone is INSUFFICIENT Statement 2 A total of 240 students study Spanish. (Spanish)=240 (Spanish)-Both=100 Both= (Spanish)-100 Both=240-100=140 students Statement 2 alone is also sufficient Both statement alone are SUFFICIENT $$answer\ is\ Option\ D$$ • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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