If xy + z = z, is |x - y| > 0? : GMAT Data Sufficiency (DS) - Page 2
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

It is currently 06 Dec 2016, 09:54
GMAT Club Tests

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If xy + z = z, is |x - y| > 0?

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

Hide Tags

Intern
Intern
avatar
Joined: 01 Aug 2006
Posts: 35
Followers: 0

Kudos [?]: 27 [0], given: 0

Re: If xy + z = z, is |x - y| > 0? [#permalink]

Show Tags

New post 07 Feb 2014, 19:08
If xy + z = z, is |x - y| > 0? or given xy = 0 (either x or y or both 0), is |x-y|> 0? Squaring, is x^2 + y^2 -2xy > 0 ?

(1) x # 0 (Not equal to): x^2 is +ve. y = 0. So, x^2 + y^2 -2xy > 0
(2) y = 0: if x = 0, NO. If x = 1, x^2 + y^2 -2xy > 0. YES.

A.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 12882
Followers: 561

Kudos [?]: 158 [0], given: 0

Premium Member
Re: If xy + z = z, is |x - y| > 0? [#permalink]

Show Tags

New post 24 Sep 2015, 04:04
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 12882
Followers: 561

Kudos [?]: 158 [0], given: 0

Premium Member
Re: If xy + z = z, is |x - y| > 0? [#permalink]

Show Tags

New post 08 Nov 2016, 14:42
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Senior Manager
Senior Manager
User avatar
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 425
Location: United States (CA)
Followers: 13

Kudos [?]: 126 [0], given: 2

Re: If xy + z = z, is |x - y| > 0? [#permalink]

Show Tags

New post 11 Nov 2016, 07:14
amitjash wrote:
If xy + z = z, is |x - y| > 0?

(1) x ≠ 0
(2) y = 0



We can start by simplifying the given equation:

xy + z = z

xy = 0

We see that either x or y or both x and y must be zero.

We also see that the question is asking whether the absolute value of x - y is greater than zero. Since the absolute value of any quantity will be positive except when the quantity is 0, the only way in which absolute value of x - y won’t be greater than zero is if it’s equal to zero, and that will only occur if x = y. Let’s keep this in mind as we analyze our statements.

Statement One Alone:

x ≠ 0

Since xy = 0, if x does not equal zero, then y MUST equal zero. Thus, since x cannot equal y, the absolute value of x - y will always be greater than zero. Statement one alone is sufficient to answer question. We can eliminate answer choices B, C, and E.

Statement Two Alone:

y = 0

Since y = 0, x could or could not equal zero, and thus we do not have enough information to answer the question. For instance, if y = 0 and x = 1, then |x - y| is greater than zero; however, if y = 0 and x = 0, then |x - y| is not greater than zero.

Answer: A
_________________

Image
Jeffrey Miller
Scott Woodbury-Stewart
Founder and CEO

Re: If xy + z = z, is |x - y| > 0?   [#permalink] 11 Nov 2016, 07:14

Go to page   Previous    1   2   [ 24 posts ] 

    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic If xy + x = z, is |x+y|>z? Bunuel 1 29 Apr 2016, 01:44
24 Experts publish their posts in the topic If xyz ≠ 0, is x(y + z) >= 0? monirjewel 17 28 Oct 2010, 21:37
5 Experts publish their posts in the topic Is |x-z| > |x-y| ? Hussain15 13 14 Jul 2010, 10:18
14 Experts publish their posts in the topic Is xy + z = z, is |x-y| > 0 ? (1) x 0 (2) y = 0 zaarathelab 6 03 Jan 2010, 08:49
9 Experts publish their posts in the topic If xyz ≠ 0, is x(y + z) >= 0? judokan 8 25 Jul 2008, 23:41
Display posts from previous: Sort by

If xy + z = z, is |x - y| > 0?

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


cron

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

Powered by phpBB © phpBB Group and phpBB SEO

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®.