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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 w, x, and y are consecutive odd positive integers and w & ##### This topic has 5 expert replies and 0 member replies ### Top Member ## If w, x, and y are consecutive odd positive integers and w & ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - x - w ? (A) -4 (B) -2 (C) -1 (D) 0 (E) 3 OA C Source: GMAT Prep ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 Top Reply BTGmoderatorDC wrote: If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - x - w ? (A) -4 (B) -2 (C) -1 (D) 0 (E) 3 Source: GMAT Prep $$\left\{ \matrix{ w = 2M - 1 \hfill \cr x = 2M + 1 \hfill \cr y = 2M + 3 \hfill \cr} \right.\,\,\,\,\,\,\,\left( {M \ge 1\,\,{\mathop{\rm int}} } \right)$$ $$? = y - x - w = - 2M + 3\,\,\,\,\,\,\,\,\,\mathop \Rightarrow \limits^{{\rm{alternatives!}}} \,\,\,\, - 1\,\,\,\,\,\,\,\left( {{\rm{when}}\,\,M = 2} \right)$$ This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1952 messages Followed by: 30 members Upvotes: 470 Top Reply BTGmoderatorDC wrote: If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - x - w ? (A) -4 (B) -2 (C) -1 (D) 0 (E) 3 OA C Source: GMAT Prep An odd positive integer can be represented as 2x + 1, where x is a non-negative integer Thus, we have w = 2x + 1; x = 2x + 3; and y = 2x + 5 Thus, y - x - w = 2x + 5 - 2x - 3 - 2x - 1 = 1 - 2x y - x - w = 1 - 2x We may plug-in x = 0, 1, 2, 3, etc. in 1 - 2x to see which option value fits. @x = 0, we have y - x - w = 1 - 2x = 1 (there is no option) @x = 1, we have y - x - w = 1 - 2x = -1 (the correct answer is C) The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Mumbai | Hyderabad | GRE Prep Warangal | Begumpet GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15313 messages Followed by: 1863 members Upvotes: 13060 GMAT Score: 790 BTGmoderatorDC wrote: If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - x - w ? (A) -4 (B) -2 (C) -1 (D) 0 (E) 3 Test easy cases: 5-3-1 = 1 7-5-3 = -1 The case in green indicates that -1 is a possible value of y-x-w. The correct answer is C. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 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. ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12922 messages Followed by: 1248 members Upvotes: 5254 GMAT Score: 770 BTGmoderatorDC wrote: If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - x - w ? (A) -4 (B) -2 (C) -1 (D) 0 (E) 3 OA C Source: GMAT Prep Here's a 3rd approach: GIVEN: w, x, and y are consecutive odd positive integers and w < x < y Since consecutive odd integers go up by 2, we can write: x = w + 2, and y = w + 2 + 2 = w + 4 So, y - x - w = (w + 4) - (w + 2) - w = w + 4 - w - 2 - w = 2 - w Since w is an ODD integer, (2 - w) will be ODD, so eliminate A, B, and D Also, since w is POSITIVE, (2 - w) will be less than 2. So, eliminate E By the process of elimination, the correct answer is C Alternatively, if w = 3(a positive odd integer) than 2-w = -1 (answer C) 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 BTGmoderatorDC wrote: If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - x - w ? (A) -4 (B) -2 (C) -1 (D) 0 (E) 3 OA C Source: GMAT Prep We see that x = w + 2, and y = w + 4; thus, y - x - w is: w + 4 - (w + 2) - w = 2 - w Since w is odd and positive, then (2 - w) must be odd and no greater than 1. 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