• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
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 4 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 22 Aug 2016 Posted: 1616 messages Followed by: 27 members Upvotes: 470 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: 14945 messages Followed by: 1855 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: 12443 messages Followed by: 1244 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 our video course along with Sign up for our free Question of the Day emails And check out all of our 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 09 Oct 2010 Posted: 1005 messages Followed by: 27 members Upvotes: 59 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 :: https://GMATH.net (Math for the GMAT) or https://GMATH.com.br (Portuguese version) Course release PROMO : finish our test drive till 30/Dec with (at least) 50 correct answers out of 92 (12-questions Mock included) to gain a 50% discount! • 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

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

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

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

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 GMAT Exam
Know how you'd score today for \$0

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

### Top First Responders*

1 fskilnik@GMATH 62 first replies
2 Brent@GMATPrepNow 62 first replies
3 Jay@ManhattanReview 50 first replies
4 GMATGuruNY 35 first replies
5 Rich.C@EMPOWERgma... 25 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 fskilnik@GMATH

GMATH Teacher

126 posts
2 Brent@GMATPrepNow

GMAT Prep Now Teacher

99 posts
3 Max@Math Revolution

Math Revolution

90 posts
4 Jay@ManhattanReview

Manhattan Review

84 posts
5 Rich.C@EMPOWERgma...

EMPOWERgmat

63 posts
See More Top Beat The GMAT Experts