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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 ## Which one of the following is the minimum value of tagged by: M7MBA ##### This topic has 2 expert replies and 1 member reply ### Top Member ## Which one of the following is the minimum value of Which one of the following is the minimum value of the sum of two integers whose product is 36? (A) 37 (B) 20 (C) 15 (D) 13 (E) 12 The OA is the option E. Is there a formula that I can use here? Experts, can you help me here, please? Thanks for your help. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello M7MBA. Let's take a look at your question. We have two numbers which product is 36, that is to say, $$a\cdot b=36.$$ The options for a and b are: a=1, b=36 --------a+b=37. a=2, b=18 --------a+b=20. a=3, b=12 --------a+b=15. a=4, b=9 ----------a+b=13. a=6, b=6-----------a+b=12. b=9, a=4-----------a+b=13. ..... According to the list above, the minimum value of a+b is 12. Hence, the correct answer is the option E. I hope it helps. Feel free to ask me again if you have a doubt. 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. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15254 messages Followed by: 1861 members Upvotes: 13060 GMAT Score: 790 M7MBA wrote: Which one of the following is the minimum value of the sum of two integers whose product is 36? (A) 37 (B) 20 (C) 15 (D) 13 (E) 12 Factor pairs of 36: 1*36 2*18 4*9 6*6 The smallest sum is yielded by the option in blue: 6+6 = 12. The correct answer is E. For any fixed product xy, the least possible value for x+y occurs when x=y. If xy = 16, where x and y are positive integers, we get the following options: x=1 and y=16, with the result that x+y = 1+16 = 17. x=2 and y=8, with the result that x+y = 2+8 = 16. x=y=4, with the result that x+y = 4+4 = 16. The least possible value for x+y is yielded when x=y. For any fixed sum x+y, the greatest possible value for xy occurs when x=y. If x+y=10, where x and y are positive integers, we get the following options: x=1 and y=9, with the result that xy = 1*9 = 9. x=2 and y=8 with the result that xy = 2*8 = 16. x=3 and y=7, with the result that xy = 3*7 = 21. x=4 and y=6, with the result that xy = 4*6 = 24. x=y=5, with the result that xy = 5*5 = 25. The greatest possible value for xy is yielded when x=y. _________________ 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. ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 966 messages Followed by: 2 members Factors of 36 includes: (1,36), (2,18), (3,12), (4,9), and (6,6) The pair that gives the minimum sum is 4+9=13 that is if we require distinct integers o and 6+6 =12 if we don't require distinct integer Therefore, we will go for the option with the overall minimum value which is 12. The correct option is e • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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