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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 x is even integer, which of the following must be an odd tagged by: BTGmoderatorLU ##### This topic has 2 expert replies and 0 member replies ### Top Member ## If x is even integer, which of the following must be an odd ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: GMAT Prep If x is even integer, which of the following must be an odd integer? $$A.\ \frac{3x}{2}$$ $$B.\ \frac{3x}{2}+1$$ $$C.\ 3x^2$$ $$D.\ \frac{3x^2}{2}$$ $$E.\ \frac{3x^2}{2}+1$$ The OA is E. ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12924 messages Followed by: 1248 members Upvotes: 5254 GMAT Score: 770 BTGmoderatorLU wrote: Source: GMAT Prep If x is even integer, which of the following must be an odd integer? $$A.\ \frac{3x}{2}$$ $$B.\ \frac{3x}{2}+1$$ $$C.\ 3x^2$$ $$D.\ \frac{3x^2}{2}$$ $$E.\ \frac{3x^2}{2}+1$$ The OA is E. A quick approach is the plug in a even number for x and see what happens. A super easy number to use us x = 0 We get..... A) (3)(0)/2 = 0, which is NOT odd. ELIMINATE A. B) (3)(0)/2 + 1 = 1, which IS odd. KEEP B. C) (3)(0)Â² = 0, which is NOT odd. ELIMINATE C. D) (3)(0Â²)/2 = 0, which is NOT odd. ELIMINATE D. E) (3)(0Â²)/2 + 1 = 1, which IS odd. KEEP E. We're down to just B and E Now plug in a different value for x. How about x = 2 We get..... B) (3)(2)/2 + 1 = 4, which is NOT odd. ELIMINATE B. Answer: E ASIDE: E) (3)(2Â²)/2 + 1 = 7, which IS odd. KEEP E. 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 25 Apr 2015 Posted: 2634 messages Followed by: 18 members Upvotes: 43 BTGmoderatorLU wrote: Source: GMAT Prep If x is even integer, which of the following must be an odd integer? $$A.\ \frac{3x}{2}$$ $$B.\ \frac{3x}{2}+1$$ $$C.\ 3x^2$$ $$D.\ \frac{3x^2}{2}$$ $$E.\ \frac{3x^2}{2}+1$$ Since x is even (i.e., it has at least one factor of 2), 3x^2 must have at least two factors of 2. So 3x^2/2 would still be even and 3x^2/2 + 1 would then be odd since even + 1 = odd. Answer: E _________________ 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. Read our reviews • 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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