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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 ## Arithmetic tagged by: BTGmoderatorRO ##### This topic has 1 expert reply and 0 member replies ## Arithmetic In a certain game, each player scores either 2 or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 50, what is the least possible difference between n and m? a.1 b.3 c.5 d.7 e.9 OA is B Pls can an expert give the breakdown in solving this question? Thanks in anticipation. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello Roland2rule. Let's see your question. We have that $$2\cdot n+5\cdot m=50.$$ The possible options are: $$\left(1\right)\ \ \ \ n=0\ and\ m=10.\ Then\ \left|m-n\right|=10.\$$ $$\left(2\right)\ \ \ \ n=5\ and\ m=8.\ Then\ \left|m-n\right|=3.\$$ $$\left(3\right)\ \ \ \ n=10\ and\ m=6.\ Then\ \left|m-n\right|=4.\$$ $$\left(3\right)\ \ \ \ n=15\ and\ m=4.\ Then\ \left|m-n\right|=11.\$$ $$\left(4\right)\ \ \ \ n=20\ and\ m=2.\ Then\ \left|m-n\right|=18.\$$ $$\left(5\right)\ \ \ \ n=25\ and\ m=0.\ Then\ \left|m-n\right|=25.\$$ Therefore the least possible difference between n and m is 3. So, the correct option is B. I really hope this explanation may help you. I'm available if you'd like a follow-up. Regards. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • 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 • FREE GMAT Exam Know how you'd score today for$0

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