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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 ## Venn diagram? ##### This topic has 1 member reply ## Venn diagram? Each of 3 charities in Ginglo Kiru has 8 persons serving on its board of directors. if exactly 4 persons serve on 3 board each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more boards of directors? A. 8 B. 13 C. 16 D. 24 E. 27 How can we do this with Venn diagram Answer is B But can't trust this completely. Master | Next Rank: 500 Posts Joined 08 Jul 2009 Posted: 342 messages Followed by: 19 members Upvotes: 214 Test Date: 24/04/2009 GMAT Score: 740 Check the attachment. x=y=z comes out to be 2 each. This makes it 6 people. 4 people are common to all three charities. Finally, 1 each is common to pairs of charities. Notice that since 5 are common to each pair of charities and 4 are already common to all three charities, therefore, only 1 more ( as common to a pair of charity) is needed to make it 5! Therefore, total = 6+4+1+1+1 = 13. Hence, B! _________________ Folks please check this out https://www.youtube.com/watch?v=H7p56NzAVKc • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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