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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 ## A factory producing tennis balls stores them in either big b tagged by: ceilidh.erickson ##### This topic has 2 expert replies and 2 member replies ## A factory producing tennis balls stores them in either big b A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, with 17 balls per box. If 94 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed? A. 0 B. 1 C. 2 D. 3 E. 4 OA is B I just want to know if my reasoning is correct or not Case 1: 25*3 = 75 94 - 75 = 19 balls left These 19 ball can be put in a small box of 17, so 2 balls are left Case 2: 17*4 = 68 95 - 68 = 26 balls left These 26 balls can now be put in a big box of 25, so 1 ball is left Now the question asks what is the least no. of balls that can be left unboxed. So, it is 1 ball as in case 2. Please let me know if my reasoning is correct Thanks & Regards Sachin _________________ Never surrender Last edited by sachin_yadav on Sat Feb 06, 2016 12:19 pm; edited 1 time in total Legendary Member Joined 03 Feb 2014 Posted: 2063 messages Followed by: 133 members Upvotes: 955 GMAT Score: 800 What you did looks good to me. I went through and tested the other cases, 0 x 25 and 2 x 25, just to be sure. Maybe you did too. _________________ Marty Murray GMAT Coach m.w.murray@hotmail.com https://infinitemindprep.com/ In Person in the New York Area and Online Worldwide ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 9949 messages Followed by: 493 members Upvotes: 2867 GMAT Score: 800 Hi sachin_yadav, Your approach to this question is perfect. This question essentially comes down to brute force - since the numbers involved are rather specific and the total number of balls is relatively small, you really just have to do enough work to test the following options: No 25-ball boxes 1 25-ball box 2 25-ball boxes 3 25-ball boxes One of those options will produce the result that the question is asking for. GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 04 Dec 2012 Posted: 1981 messages Followed by: 236 members Upvotes: 1443 Your solution is the best - in fact, the only - solution to employ in a case like this. Whenever you are given a word problem with INTEGER CONSTRAINTS (in this case, we can't have half a ball) and it's asking you about possible combinations, your only option is to test out the numbers. My recommendation is to use a chart to keep things organized: The methodology is the same, though. _________________ Ceilidh Erickson Manhattan Prep GMAT & GRE instructor EdM in Mind, Brain, and Education Harvard Graduate School of Education Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience. Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry! Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week. Master | Next Rank: 500 Posts Joined 06 Dec 2010 Posted: 212 messages Followed by: 1 members Upvotes: 5 Target GMAT Score: 720 Thank you all. Appreciate your replies. Regards Sachin _________________ Never surrender • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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