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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 ## If m is a positive integer and m^2 is divisible by 48, then tagged by: rolandprowess ##### This topic has 1 expert reply and 0 member replies ## If m is a positive integer and m^2 is divisible by 48, then If m is a positive integer and m^2 is divisible by 48, then the largest positive integer that must divide m is? (A) 3 (B) 6 (C) 8 (D) 12 (E) 16 Is there a strategic approach to this question? Can any experts help? ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: If m is a positive integer and m^2 is divisible by 48, then the largest positive integer that must divide m is? (A) 3 (B) 6 (C) 8 (D) 12 (E) 16 Is there a strategic approach to this question? Can any experts help? Hi ardz24, Let's take a look at your question. The question states: "If m is a positive integer and m^2 is divisible by 48, then the largest positive integer that must divide m is? " The largest positive integer that must divide m will be m itself. One way to solve this question is to check each of the option if it is true or not. For that purpose, square each of the given options and find out if it is divisible by 48 or not. Let's start from option A. Let m = 3 then m^2 = 9 9 is not divisible by 48 because it is less than 48. Option B Let m = 6 then m^2 = 36 36 is not divisible by 48 because it is less than 48. Option C Let m = 8 then m^2 = 64 64 is not divisible by 48 because it gives a decimal quotient when we try to divide 64 by 48. Option D Let m = 12 then m^2 = 144 144 is divisible by 48 because 144/48 = 3 Hence, the largest positive integer that must divide m is 12. Therefore, Option D is correct. Hope it helps. I am available if you'd like any follow up. _________________ 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. • Award-winning private GMAT tutoring Register now and save up to$200

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