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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 ## What is the smallest positive integer that can be multiply.. tagged by: BTGmoderatorLU ##### This topic has 1 expert reply and 0 member replies ### Top Member ## What is the smallest positive integer that can be multiply.. What is the smallest positive integer that can be multiply by 1,008 to make it a perfect square? A. 2 B. 3 C. 5 D. 7 E. 11 The OA is D. I'm confused with this PS question. Experts, any suggestion about how to solve it? Thanks in advance. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Top Reply Hello LUANDATO. Let's take a look at your question. One easy way to solve this PS question is trying number by number. Option 1: 2*1,008 = 2016, is not a perfect square. Option 2: 3*1,008 = 3024, is not a perfect square. Option 3: 5*1,008 = 5040, is not a perfect square. Option 4: 7*1,008 = 7056 = (84)^2, is a perfect square. Hence, the correct option is the option D. ----------------------------------------------------------------------------- Another way to solve it is: $$1008=2^4\cdot3^2\cdot7.$$ To have a perfect square we need an even number of 2's, 3's and 7`s. So, we need to multiply 1008 to have 2 sevens. This is why the correct option is D. I hope these explanations may help you. Feel free to ask me again if you have any 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. • 5-Day Free Trial 5-day free, full-access trial TTP Quant 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 • 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 • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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