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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 n is an integer, is (29 - n)/n an integer? tagged by: M7MBA ##### This topic has 2 expert replies and 0 member replies ### Top Member ## If n is an integer, is (29 - n)/n an integer? If n is an integer, is (29 - n)/n an integer? (1) n is prime. (2) n is an odd factor of 116. The OA is B. Why statement (1) is not sufficient? Can any expert help me? I would be thankful. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15387 messages Followed by: 1872 members Upvotes: 13060 GMAT Score: 790 Top Reply M7MBA wrote: If n is an integer, is (29 - n)/n an integer? (1) n is prime. (2) n is an odd factor of 116. (29-n)/n = 29/n - n/n = 29/n - 1. The expression in blue will be an integer if n is a FACTOR OF 29. Since 29 has only two factors -- 1 and 29 -- the question stem can be rephrased as follows: Does n=1 or n=29? Statement 1: If n=29, then the answer to the question stem is YES. If n=2, then the answer to the question stem is NO. INSUFFICIENT. Statement 2: Factor pairs of 116: 1*116 2*58 4*29. Since n must be ODD factor of 116, n must be equal to one of the green factors above. Thus, either n=1 or n=29, with the result that the answer to the question stem is YES. SUFFICIENT. The correct answer is B. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 497 members Upvotes: 2867 GMAT Score: 800 Top Reply Hi M7MBA, We're told that N is an integer. We're asked if (29 - N)/(N) an integer. This is a YES/NO question. We can solve it by TESTing VALUES. 1) N is prime. IF.... N = 2... 27/2 = 13.5 and the answer to the question is NO. N = 29... 0/29 = 0 and the answer to the question is YES. Fact 1 is INSUFFICIENT. 2) N is an ODD factor of 116. The information in Fact 2 can be dealt with in a number of different ways. The fastest way to get through it though is to prime factor 116: 116 = (2)(58) = (2)(2)(29) Thus, the only odd factors of 116 are 1 and 29: N = 1... 28/1 = 28 and the answer to the question is YES. N = 29... 0/29 = 0 and the answer to the question is YES. The answer to the question is ALWAYS YES. Fact 2 is SUFFICIENT. Final Answer: B GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • Free Veritas GMAT Class Experience Lesson 1 Live Free 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 • Award-winning private GMAT tutoring Register now and save up to$200

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