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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 200 candidates who were interviewed for a position... tagged by: BTGmoderatorLU This topic has 2 expert replies and 0 member replies Top Member Of the 200 candidates who were interviewed for a position... Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two-wheeler and mobile phone and 10 had all three. How many candidates had none of the three? A. 0 B. 10 C. 18 D. 20 E. 25 The OA is B. Experts, any suggestion about how to solve this PS question? Thanks in advance. GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1599 messages Followed by: 27 members Upvotes: 470 LUANDATO wrote: Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two-wheeler and mobile phone and 10 had all three. How many candidates had none of the three? A. 0 B. 10 C. 18 D. 20 E. 25 The OA is B. Experts, any suggestion about how to solve this PS question? Thanks in advance. The total number of employees = 200 are distributed as following: Employees with 2-Wheeler = x = 100; Employees with Credit Card = y = 70; Employees with Mobile phone = z = 140; Employees with 2-Wheeler & Credit Card = (x & y) = 40; Employees with 2-Wheeler & Mobile phone = (x & z) = 60; Employees with Credit Card & Mobile phone = (y & z) = 30; Employees with all the three = (x & y & z) = 10 Employees with none of the three = p We have to get the value of p. Thus, 200 = x + y + z - (x&y) - (y&z) - (x&z) + (x & y & z) + p 200 = 100 + 70 + 140 - 40 - 60 - 30 + 10 + p p = 10 The correct answer: B Hope this helps! _________________ Manhattan Review GMAT Prep Locations: New York | Jakarta | Nanjing | Berlin | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1461 messages Followed by: 17 members Upvotes: 39 LUANDATO wrote: Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two-wheeler and mobile phone and 10 had all three. How many candidates had none of the three? A. 0 B. 10 C. 18 D. 20 E. 25 We can create the equation: Total = two-wheeler + credit card + mobile phone - doubles + triple + neither 200 = 100 + 70 + 140 - (40 + 30 + 60) + 10 + n 200 = 310 - 130 + 10 + n 200 = 190 + n 10 = n Answer: B _________________ Jeffrey Miller Head of GMAT Instruction • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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