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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 ## This year, x people won an Olympic medal for water ##### This topic has 2 expert replies and 0 member replies ### Top Member ## This year, x people won an Olympic medal for water ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult This year, x people won an Olympic medal for water competitions. One-third of the winners earned a medal for swimming and one-fourth of those who earned a medal for swimming also earned a medal for diving. How many people won an Olympic medal for water competitions but did not both receive a medal for swimming and a medal for diving? (A) 11x/12 (B) 7x/12 (C) 5x/12 (D) 6x/7 (E) x/7 OA A Source: Veritas Prep ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10129 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that X people won a medal for water competitions. Of those X people, 1/3 won a medal for swimming; of those who won a medal for SWIMMING, 1/4 also won a medal for diving. This question can be solved by TESTing VALUES (and taking a few notes). The common denominator between 1/3 and 1/4 is 12, so let's TEST X = 12.... X = 12 medal winners (1/3)(12) = 4 won a medal for swimming (1/4)(4) = 1 of the swimming winners ALSO won a medal for diving We're asked how many of the X people did NOT win a medal for BOTH swimming and diving. Since there were 12 people, and only 1 won BOTH medals, the other 11 won JUST ONE medal - thus, the answer to the question is 11 (when X = 12). The answers are written in such a way that you don't have to do much math to find the correct answer. Final Answer: A GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2424 messages Followed by: 18 members Upvotes: 43 BTGmoderatorDC wrote: This year, x people won an Olympic medal for water competitions. One-third of the winners earned a medal for swimming and one-fourth of those who earned a medal for swimming also earned a medal for diving. How many people won an Olympic medal for water competitions but did not both receive a medal for swimming and a medal for diving? (A) 11x/12 (B) 7x/12 (C) 5x/12 (D) 6x/7 (E) x/7 OA A Source: Veritas Prep We see that 1/3(x/4) = (1/12)x = x/12 people won a medal in both swimming and dividing. Thus x - x/12 = 12x/12 - x/12 = 11x/12 people did not win a medal in both swimming and dividing. Answer: A _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • FREE GMAT Exam Know how you'd score today for$0

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