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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 ## GMAT Math ##### This topic has 2 expert replies and 2 member replies ## GMAT Math Is 12**66* divisible by 564 ? {Here * can be any digit but not the same } ### GMAT/MBA Expert GMAT Instructor Joined 28 Dec 2011 Posted: 768 messages Followed by: 138 members Upvotes: 387 nil_986 wrote: Is 12**66* divisible by 564 ? {Here * can be any digit but not the same } Dear nil_986, I would like to help you, but this question is somewhat unclear. First of all, it's not in GMAT question format at all, and in fact, the nature of what it is asking, I believe, well beyond the GMAT. The * digits can't be the same as each other, but it's not clear whether they can be 1, 2, or 6, the digits that already appear. If they can repeat those digits, there are 720 possible numbers. If they can't repeat them, there are 210 possible numbers. Now, given that wide range of possible numbers, it's hard to know what is meant by the question. Obviously, not all possible numbers would be divisible by 564. Is the challenge to find one number that is divisible by 564? 564 = 2*2*3*47, which is the prime factorization of 564. See this post for more on prime factorizations: http://magoosh.com/gmat/2012/gmat-math-factors/ Any number divisible by 564 would have to be divisible by all those factors. If you can clarify the question, I would be happy to help you further. Mike _________________ Magoosh GMAT Instructor https://gmat.magoosh.com/ Newbie | Next Rank: 10 Posts Joined 24 Dec 2013 Posted: 3 messages Dear Mike, First thank you very very much for your response and help.But there is no other clue to solve this problem where I found it And I'm sorry as it is not a GMAT based question.I found this site quite helpful that's why I posted this question.And again thanks to you. Newbie | Next Rank: 10 Posts Joined 24 Dec 2013 Posted: 3 messages Dear Mike, First thank you very very much for your response and help.But there is no other clue to solve this problem where I found it And I'm sorry as it is not a GMAT based question.I found this site quite helpful that's why I posted this question.And again thanks to you. ### GMAT/MBA Expert GMAT Instructor Joined 21 Jan 2009 Posted: 3650 messages Followed by: 81 members Upvotes: 267 GMAT Score: 760 nil_986 wrote: Is 12**66* divisible by 564 ? {Here * can be any digit but not the same } Mission Impossible kind of Task! nil_986 is daunting us by such Martian Missiles. Not a GMAT question for sure. _________________ The mind is everything. What you think you become. â€“Lord Buddha Sanjeev K Saxena Quantitative Instructor The Princeton Review - Manya Abroad Lucknow-226001 www.manyagroup.com 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. • 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 • Award-winning private GMAT tutoring Register now and save up to$200

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