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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 when a certain integer x is divided by 5, the remainder tagged by: swerve ##### This topic has 4 expert replies and 0 member replies ### Top Member ## If when a certain integer x is divided by 5, the remainder ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult If when a certain integer x is divided by 5, the remainder is 2, then each of the following could also be an integer EXCEPT: A. x/17 B. x/10 C. x/6 D. x/3 E. x/11 The OA is B Source: Princeton Review ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15348 messages Followed by: 1864 members Upvotes: 13060 GMAT Score: 790 swerve wrote: If when a certain integer x is divided by 5, the remainder is 2, then each of the following could also be an integer EXCEPT: A. x/17 B. x/10 C. x/6 D. x/3 E. x/11 Since dividing x by 5 yields a remainder, x is not a multiple of 5 and thus not a multiple of 10. Since x is not a multiple of 10, x/10 cannot yield an integer value. 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 GMAT Instructor Joined 08 Dec 2008 Posted: 12980 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 swerve wrote: If when a certain integer x is divided by 5, the remainder is 2, then each of the following could also be an integer EXCEPT: A. x/17 B. x/10 C. x/6 D. x/3 E. x/11 The OA is B Source: Princeton Review Here's another (longer) approach: When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc. When a certain integer x is divided by 5, the remainder is 2 So, the possible values of x are as follows: 2, 7, 12, 17, 22, 27, 32, . . . etc Let's use these values to ELIMINATE answer choices If x = 12, then x/3 is an integer. ELIMINATE D If x = 12, then x/6 is an integer. ELIMINATE C If x = 17, then x/17 is an integer. ELIMINATE A If x = 22, then x/11 is an integer. ELIMINATE E By the process of elimination, the correct answer is B Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 swerve wrote: If when a certain integer x is divided by 5, the remainder is 2, then each of the following could also be an integer EXCEPT: A. x/17 B. x/10 C. x/6 D. x/3 E. x/11 Source: Princeton Review $$x = 5M + 2,\,\,\,M\,\,\operatorname{int} \,\,\,\,\,\,\left( * \right)$$ $$?\,\,\,:\,\,\,{\text{not}}\,\,\,{\text{integer}}$$ $$\left( {\text{A}} \right)\,\,M = 3\,\,{\text{refutes}}$$ $$\left( {\text{B}} \right)\,\,\frac{x}{{10}} = \operatorname{int} \,\,\,\mathop \Rightarrow \limits^{ \cdot \,\,2} \,\,\,\,\frac{x}{5} = \operatorname{int} \,\,\,\, \Rightarrow \,\,\,x\,\,{\text{divisible}}\,\,{\text{by}}\,\,5\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,\,{\text{impossible}}$$ We follow the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2791 messages Followed by: 18 members Upvotes: 43 swerve wrote: If when a certain integer x is divided by 5, the remainder is 2, then each of the following could also be an integer EXCEPT: A. x/17 B. x/10 C. x/6 D. x/3 E. x/11 The OA is B Source: Princeton Review Since, when x is divisible by 5, the remainder is 2, x can be values such as: 2, 7, 12, 17, 22 So we see that x/17, x/6, x/3, and x/11 can all be integers. Thus x/10 cannot be an integer. Answer: B _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. 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