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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 the number 892,132,24x is divisible by 11, what must . . tagged by: VJesus12 ##### This topic has 1 expert reply and 2 member replies ### Top Member ## If the number 892,132,24x is divisible by 11, what must . . If the number 892,132,24x is divisible by 11, what must be the value of x? A) 1 B) 2 C) 3 D) 4 E) 5 The OA is the option A. How can I prove that option A is the only one possible? Can any expert give me some help? Please. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello Vjesus12. Let's take a look at your question. First, let's remember the multiplication rule of 11: (Sum of digits at odd places - Sum of digits at even places) should be divisible by 11. We have the number 892,132,24x, then: $$\left(8+2+3+2+x\right)-\left(9+1+2+4\right)=\left(15+x\right)-\left(16\right)=x-1.$$ The only option that makes 1-x a multiple of 11 is x=1. This is why the correct option is A=1. I hope this answer can help you. Feel free to ask me again if you have any question. 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. Newbie | Next Rank: 10 Posts Joined 14 Jan 2018 Posted: 2 messages One of the number properties is that to see if a number is multiple of 11 you must: If the number is "abc", then c-b+a = 0 or 11. In this case 892 132 24x needs to bee multiple of 11, so: x - 4 + 2 - 2 + 3 - 1 + 2 - 9 - 8 must equal 0 or 11 x - 1 must equal 0 or 11 x must be 1, because is a number with one digit. Senior | Next Rank: 100 Posts Joined 15 Jan 2018 Posted: 83 messages 8 - 9 + 2 - 1 + 3 - 2 + 2 - 4 + x = 11n (because 11n always = sum of digits alternating + - + -, etc.) so x = 11n + 1. When n = 0, then x = 1. • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 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 Practice Test & Review How would you score if you took the GMAT 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 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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