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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 noncompressible ball in the shape of a sphere is to tagged by: AbeNeedsAnswers ##### This topic has 2 expert replies and 0 member replies ## A noncompressible ball in the shape of a sphere is to ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult A noncompressible ball in the shape of a sphere is to be passed through a square opening in a board. What is the perimeter of the opening? (1) The radius of the ball is equal to 2 inches. (2) The square opening is the smallest square opening through which the ball will fit. C Source: Official Guide 2020 ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1979 messages Followed by: 30 members Upvotes: 470 AbeNeedsAnswers wrote: A noncompressible ball in the shape of a sphere is to be passed through a square opening in a board. What is the perimeter of the opening? (1) The radius of the ball is equal to 2 inches. (2) The square opening is the smallest square opening through which the ball will fit. C Source: Official Guide 2020 Let's take each statement one by one. (1) The radius of the ball is equal to 2 inches. Certainly insufficient. The square of any dimension: sufficient enough to let the ball pass to very large. (2) The square opening is the smallest square opening through which the ball will fit. Certainly insufficient. (1) and (2) together => Side of the square = Diameter of the ball = 2*2 = 4 inches => Perimeter of the square = 4*4 = 16 inches. Sufficient. _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT Tutoring San Antonio | GRE Prep Courses Boston | Houston IELTS Tutoring | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 496 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that a non-compressible ball in the shape of a SPHERE is to be passed through a SQUARE opening in a board. We're asked for the perimeter of the opening. While this question might seem a bit quirky, it's actually based on some basic Geometry rules. To start, it's worth noting that the 'widest' part of a sphere is the DIAMETER, so for the sphere to fit through a square hole, we will have to compare the diameter to the side length of the square. (1) The radius of the ball is equal to 2 inches. With Fact 1, we know that the diameter of the sphere is 4 inches, but we don't know anything about the square hole. Fact 1 is INSUFFICIENT (2) The square opening is the smallest square opening through which the ball will fit. With Fact 2, we know that the sphere WILL fit through the hole, but we still don't know the exact perimeter of the square. Fact 2 is INSUFFICIENT Combined, we know... -The radius of the ball is equal to 2 inches. -The square opening is the smallest square opening through which the ball will fit. We know that the square opening is as small as possible, but would still have to accommodate the diameter of 4. Thus, we have a 4x4 square and the answer to the question is 16. Combined, SUFFICIENT Final Answer: C GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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