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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 could be the range of a set consisting of odd multiples tagged by: VJesus12 ##### This topic has 1 expert reply and 1 member reply ## What could be the range of a set consisting of odd multiples What could be the range of a set consisting of odd multiples of 7? A. 21 B. 24 C. 35 D. 62 E. 70 The OA is E . I don't understand this PS question. What is the range of a set of numbers? How can I find it with an infinite set? Experts, I need your help, please. Junior | Next Rank: 30 Posts Joined 30 Aug 2017 Posted: 13 messages ACTUALLY THE QUESTION 'IS WHICH ONE OF THEM CAN ONLY BE RANGE OF A SET CONTAINING ODD MULTIPLES OF 7?' So the range of odd multiples of 7 is even multiple of 7 for ex- (7,21)=14 7,35=28 so out of the options only 70 is even multiple of 7.\i.e 10 ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: What could be the range of a set consisting of odd multiples of 7? A. 21 B. 24 C. 35 D. 62 E. 70 The OA is E . I don't understand this PS question. What is the range of a set of numbers? How can I find it with an infinite set? Experts, I need your help, please. Hi VJesus12, Let's take a look at your question. Range of a set is the difference between the largest value and the smallest value of that set. We are asked to find the range of a set consisting of odd multiples of 7. Odd multiples of 7 will be: $$7\times1,\ 7\times3,\ 7\times5,\ 7\times7,\ ...,\ 7\times\left(2n+1\right)$$ Range = Largest Odd Multiple - Smallest Odd Multiple $$Range=\left[7\times\left(2n+1\right)\right]-\left[7\times1\right]$$ $$Range=7\left[\left(2n+1\right)-1\right]$$ $$Range=7\left[2n+1-1\right]$$ $$Range=7\left[2n\right]$$ 2n represents an even number, therefore, range will be an even multiple of 7. We need to check all the given options and find which one is an even multiple of 7. Option A: 21 = 7 x 3 ; 21 is an odd multiple of 7. Option B: 24; it is not a multiple of 7. Option C: 35 = 7 x 5 ; 35 is an odd multiple of 7. Option D: 62; It is not a multiple of 7. Option E: 70; 7 x 10 ; 70 is an even multiple of 7. Which shows that the range of a set consisting of odd multiples of 7 is 70. Therefore, Option E is correct. Hope it helps. I am available if you'd like any follow up. _________________ 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. • Free Practice Test & Review How would you score if you took the GMAT 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 • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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