GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Jan 2019, 15:06

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winners of the GMAT game show

     January 22, 2019

     January 22, 2019

     10:00 PM PST

     11:00 PM PST

    In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
  • Key Strategies to Master GMAT SC

     January 26, 2019

     January 26, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Senior Manager
Senior Manager
User avatar
Status: Getting strong now, I'm so strong now!!!
Affiliations: National Institute of Technology, Durgapur
Joined: 04 Jun 2013
Posts: 430
Location: India
GPA: 3.32
WE: Information Technology (Computer Software)
GMAT ToolKit User Premium Member Reviews Badge
If w, x, and y are consecutive odd positive integers and w < x < y  [#permalink]

Show Tags

New post 27 Dec 2014, 11:05
5
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

85% (00:40) correct 15% (00:36) wrong based on 248 sessions

HideShow timer Statistics

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
Senior Manager
Senior Manager
User avatar
Status: Getting strong now, I'm so strong now!!!
Affiliations: National Institute of Technology, Durgapur
Joined: 04 Jun 2013
Posts: 430
Location: India
GPA: 3.32
WE: Information Technology (Computer Software)
GMAT ToolKit User Premium Member Reviews Badge
Re: If w, x, and y are consecutive odd positive integers and w < x < y  [#permalink]

Show Tags

New post 27 Dec 2014, 11:09
1
I will also post the solution, should someone require at any point..
Given:w, x, and y are consecutive odd positive integers and w < x < y
Let take value of X as a ; value of y=x+2(consecutive odd integer) ; and w=x-2
So;
y-x-w = x+2 - x - (X+2)
therefore , y-x-w = 4-x
Now,
X is odd and x>= 3
so x can assume values= 3,5,7 ...
therefore when x=5
4-5= -1
As the question asks which could be possible a value we can say that C fits in.
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13375
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If w, x, and y are consecutive odd positive integers and w < x < y  [#permalink]

Show Tags

New post 27 Dec 2014, 11:14
1
1
Hi WaterFlowsUp,

This question can be solved in a couple of different ways: algebraically, with Number Properties, or with "brute force"

Here is an approach that combines Algebra with Number Properties.

We're told that W, X and Y are CONSECUTIVE ODD INTEGERS and W < X < Y. We're asked for a POSSIBLE value of Y - X - W

Since all 3 values are CONSECUTIVE ODD INTEGERS, we can write these terms as...

W = A
X = A+2
Y = A+4

So...
Y - X - W = (A+4) - (A+2) - A = -A +2

Since we know that A is an ODD integer, adding 2 to it will give us ANOTHER ODD integer. Since -A is a NEGATIVE INTEGER, adding 2 CANNOT get us to +3, so there's only one answer that fits: -1

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Senior Manager
Senior Manager
User avatar
Joined: 13 Jun 2013
Posts: 275
Premium Member
Re: If w, x, and y are consecutive odd positive integers and w < x < y  [#permalink]

Show Tags

New post 27 Dec 2014, 11:42
WaterFlowsUp 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


w=2k+1
x=2k+3
y=2k+5

here k can be 0,1,2,3,4----

now y-x-w = 2k+5-2k-3-2k-1
=1-2k

we know that odd-odd-odd will always be odd. hence answer choices a,b and d are out. Also, maximum value of 1-2k is 1, when k=0. hence option E is also out. thus answer must be option C.
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13375
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If w, x, and y are consecutive odd positive integers and w < x < y  [#permalink]

Show Tags

New post 27 Dec 2014, 16:26
1
Hi All,

I mentioned earlier that this question could be approached with "brute force" - that's a concept that I haven't seen used too often on this site, so here's how to use that approach to get to the correct answer. Essentially, "brute force" in this case will involve TESTing VALUES until we get a solution that matches one of the 5 answer choices.

Since W, X and Y are CONSECUTIVE ODD POSITIVE INTEGERS and W < X < Y, we can start with the easiest set of values that comes to mind:

W = 1
X = 3
Y = 5

The question asks for what COULD be the value of Y - X - W.
In this case, the value would be...
5 - 3 - 1 = 1
+1 is NOT among the answer choices, so we have to keep working...

The next easiest set of values would be...
W = 3
X = 5
Y = 7

Here, Y - X - W is....
7 - 5 - 3 = -1

-1 IS among the answer choices, so we're done.

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4353
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member CAT Tests
If w, x, and y are consecutive odd positive integers and w < x < y  [#permalink]

Show Tags

New post 07 May 2016, 09:37
WaterFlowsUp 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


Plug in some values for w < x < y

So, w < x < y = 3 < 5 < 7

Hence , y - x - w = 7 - 5 - 3 => -1

Answer will be -1 :P :-D

PS : This problem can be solved in less than 10 seconds if you plug in some values for this problem..
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Manager
Manager
avatar
S
Joined: 18 Oct 2016
Posts: 139
Location: India
WE: Engineering (Energy and Utilities)
Re: If w, x, and y are consecutive odd positive integers and w < x < y  [#permalink]

Show Tags

New post 17 Apr 2017, 03:17
1
Option C

w, x & y are consecutive Positive Odd integers, such that w < x < y. Y - X - W = ?

Assume w = 2k + 1, then x = 2k + 3 & Y = 2k + 5. For k>=0.
Hence, Y - X - W = 2k + 5 - (2k + 3) - (2k + 1) = -2k + 1 = -1, -3, -5 , . . .
_________________

Press Kudos if you liked the post!

Rules for posting - PLEASE READ BEFORE YOU POST

Intern
Intern
avatar
B
Joined: 10 Dec 2017
Posts: 26
Location: India
Concentration: Entrepreneurship, Social Entrepreneurship
GMAT 1: 710 Q48 V42
GPA: 3.41
Re: If w, x, and y are consecutive odd positive integers and w < x < y  [#permalink]

Show Tags

New post 16 Oct 2018, 07:51
RR88 wrote:
Option C

w, x & y are consecutive Positive Odd integers, such that w < x < y. Y - X - W = ?

Assume w = 2k + 1, then x = 2k + 3 & Y = 2k + 5. For k>=0.
Hence, Y - X - W = 2k + 5 - (2k + 3) - (2k + 1) = -2k + 1 = -1, -3, -5 , . . .


Thankyou.. Great explanation
Intern
Intern
avatar
Status: QUANTS TRAINER
Affiliations: THE PRINCETON REVIEW
Joined: 22 Jan 2015
Posts: 2
Location: India
WE: Education (Education)
If w, x, and y are consecutive odd positive integers and w < x < y  [#permalink]

Show Tags

New post Updated on: 16 Oct 2018, 08:23
1) Plug in any easy values satisfying the condition in the question:w,X,y are consecutive positive odd Integers and w<X<y

w=3,X=5,y=7

2) y-x-w=7-5-3=-1

3) option c


Manisha


Posted from my mobile device

Originally posted by manisha12345 on 16 Oct 2018, 08:14.
Last edited by manisha12345 on 16 Oct 2018, 08:23, edited 1 time in total.
Intern
Intern
avatar
Status: QUANTS TRAINER
Affiliations: THE PRINCETON REVIEW
Joined: 22 Jan 2015
Posts: 2
Location: India
WE: Education (Education)
Re: If w, x, and y are consecutive odd positive integers and w < x < y  [#permalink]

Show Tags

New post 16 Oct 2018, 08:15
1) Plug in any easy values satisfying the condition in the question:w,X,y are consecutive positive odd Integers and w<X<y

w=3,X=5,y=7

2) y-x-w=7-5-3=-1

3) option c

Posted from my mobile device
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4600
Location: United States (CA)
Re: If w, x, and y are consecutive odd positive integers and w < x < y  [#permalink]

Show Tags

New post 17 Oct 2018, 18:04
WaterFlowsUp 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


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, 2 - w must be odd and no greater than 1. The only answer choice that works is -1.

Answer: C
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMATH Teacher
User avatar
G
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 629
Re: If w, x, and y are consecutive odd positive integers and w < x < y  [#permalink]

Show Tags

New post 05 Dec 2018, 18:51
WaterFlowsUp 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

\(\left\{ \matrix{
w = 2M - 1 \hfill \cr
x = 2M + 1 \hfill \cr
y = 2M + 3 \hfill \cr} \right.\,\,\,\,\,\,\,\left( {M \ge 1\,\,{\mathop{\rm int}} } \right)\)

\(? = y - x - w = - 2M + 3\,\,\,\,\,\,\,\,\,\mathop \Rightarrow \limits^{{\rm{alternatives!}}} \,\,\,\, - 1\,\,\,\,\,\,\,\left( {{\rm{when}}\,\,M = 2} \right)\)


This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
_________________

Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net

GMAT Club Bot
Re: If w, x, and y are consecutive odd positive integers and w < x < y &nbs [#permalink] 05 Dec 2018, 18:51
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.