• 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 Prep
    VERITAS PRACTICE GMAT EXAMS
    Earn 10 Points Per Post
    Earn 10 Points Per Thanks
    Earn 10 Points Per Upvote
    REDEEM NOW

If w, x, and y are consecutive odd positive integers and w &

This topic has 4 expert replies and 0 member replies

If w, x, and y are consecutive odd positive integers and w &

Post

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

  • +1 Upvote Post
  • Quote
  • Flag
Post
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.

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post
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

  • +1 Upvote Post
  • Quote
  • Flag
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

Post
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 – Creator of GMATPrepNow.com
Use our video course along with Beat The GMAT's free 60-Day Study Guide

Sign up for our free Question of the Day emails
And check out all of our free resources

  • +1 Upvote Post
  • Quote
  • Flag
GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!
Post
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!

  • +1 Upvote Post
  • Quote
  • Flag
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep

Top First Responders*

1 fskilnik@GMATH 65 first replies
2 Brent@GMATPrepNow 64 first replies
3 Jay@ManhattanReview 50 first replies
4 GMATGuruNY 36 first replies
5 Rich.C@EMPOWERgma... 24 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 image description fskilnik@GMATH

GMATH Teacher

127 posts
2 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

102 posts
3 image description Max@Math Revolution

Math Revolution

93 posts
4 image description Jay@ManhattanReview

Manhattan Review

84 posts
5 image description GMATGuruNY

The Princeton Review Teacher

64 posts
See More Top Beat The GMAT Experts