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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 ## Of the 500 consumers surveyed, 78 percent said they own... tagged by: swerve ##### This topic has 2 expert replies and 0 member replies ### Top Member ## Of the 500 consumers surveyed, 78 percent said they own... Of the 500 consumers surveyed, 78 percent said they own a toaster, 65 percent said they own a microwave oven and, 52 percent said they own both a toaster and a microwave oven. How many of the consumers surveyed said that do not own either a toaster or a microwave oven? A. 45 B. 55 C. 65 D. 95 E. 130 The OA is A. Please, can any expert explain this PS question for me? I can't get the correct answer. I need your help. Thanks. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 9942 messages Followed by: 492 members Upvotes: 2867 GMAT Score: 800 Hi swerve, We're told that of the 500 consumers surveyed, 78 percent said they own a toaster, 65 percent said they own a microwave oven and 52 percent said they own BOTH a toaster and a microwave oven. We're asked for the number of consumers surveyed who said that do not own either a toaster or a microwave oven. This question is an example of a standard Overlapping Sets question, so we can use the Overlapping Sets formula to solve it: Total = (Group 1) + (Group 2) - Both + Neither In this prompt, the total is 100%, 'Group 1' are those who own a toaster, 'Group 2' are those who own a microwave... 100% = 78% + 65% - 52% + (Neither) 100% = 91% + (Neither) 9% = Neither Since there were 500 people surveyed, the number who have neither a toaster nor a microwave is 9% of 500 = (.09)(500) = 45 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: 1776 messages Followed by: 14 members Upvotes: 43 swerve wrote: Of the 500 consumers surveyed, 78 percent said they own a toaster, 65 percent said they own a microwave oven and, 52 percent said they own both a toaster and a microwave oven. How many of the consumers surveyed said that do not own either a toaster or a microwave oven? A. 45 B. 55 C. 65 D. 95 E. 130 We can use the equation: Total = own a toaster + own a microwave - own both + own neither However, to start we can just use percents: 100 = 78 + 65 - 52 + N 100 = 91 + N 9 = N So 9% of 500 people or 500 x 0.09 = 45 people own neither a toaster nor a microwave. Answer: A _________________ Scott Woodbury-Stewart Founder and CEO • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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