Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 26 Sep 2016, 07:49

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Is xy + z = z, is |x-y| > 0 ? (1) x 0 (2) y = 0

Author Message
TAGS:

### Hide Tags

Manager
Joined: 17 Aug 2009
Posts: 235
Followers: 5

Kudos [?]: 208 [1] , given: 25

Is xy + z = z, is |x-y| > 0 ? (1) x 0 (2) y = 0 [#permalink]

### Show Tags

03 Jan 2010, 09:49
1
KUDOS
6
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

59% (01:50) correct 41% (00:57) wrong based on 197 sessions

### HideShow timer Statistics

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

(1) x ≠ 0
(2) y = 0
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 Jul 2015, 08:24, edited 1 time in total.
a
Verbal Forum Moderator
Joined: 02 Aug 2009
Posts: 4050
Followers: 272

Kudos [?]: 2822 [1] , given: 98

Re: Is xy + z = z, is |x-y| > 0 ? (1) x 0 (2) y = 0 [#permalink]

### Show Tags

03 Jan 2010, 09:56
1
KUDOS
Expert's post
2
This post was
BOOKMARKED
A...
from eq xy+z=z , we know xy is 0...
for lx-yl>0 x-y ≠ 0...
si) x ≠ 0 so y=0 and x-y will be a -ive or +ive no... suff
sii) y=0... x can be 0 or any other no ...not suff
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Intern
Joined: 30 Aug 2015
Posts: 31
Concentration: Marketing, Finance
WE: Brand Management (Manufacturing)
Followers: 2

Kudos [?]: 22 [0], given: 355

Re: Is xy + z = z, is |x-y| > 0 ? (1) x 0 (2) y = 0 [#permalink]

### Show Tags

02 Sep 2015, 05:01
zaarathelab wrote:
Is xy + z = z, is |x-y| > 0 ?

(1) x ≠ 0
(2) y = 0

KINDLY EXPLAIN STEP BY STEP
_________________

Please award kudos if you like my explanation.
Thanks

Math Expert
Joined: 02 Sep 2009
Posts: 34861
Followers: 6483

Kudos [?]: 82666 [0], given: 10114

Re: Is xy + z = z, is |x-y| > 0 ? (1) x 0 (2) y = 0 [#permalink]

### Show Tags

02 Sep 2015, 05:48
Expert's post
1
This post was
BOOKMARKED
shakticnb wrote:
zaarathelab wrote:
Is xy + z = z, is |x-y| > 0 ?

(1) x ≠ 0
(2) y = 0

KINDLY EXPLAIN STEP BY STEP

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

xy + z = z;
Cancel z: xy = 0. This implies that either x or y (or both) is 0.

(1) x ≠ 0. Since x is not 0, then y = 0. Thus the question becomes is |x| > 0. The absolute value of a non-zero number (x) is always positive. So, we have a definite YES answer to the question. Sufficient.

(2) y = 0. The question becomes is |x| > 0. If x = 0, then the answer is NO but if x ≠ 0, then the answer is YES. Not sufficient.

Hope it's clear.
_________________
Senior Manager
Joined: 20 Aug 2015
Posts: 398
Location: India
GMAT 1: 760 Q50 V44
Followers: 22

Kudos [?]: 180 [0], given: 10

Is xy + z = z, is |x-y| > 0 ? (1) x 0 (2) y = 0 [#permalink]

### Show Tags

02 Sep 2015, 23:44
shakticnb wrote:
zaarathelab wrote:
Is xy + z = z, is |x-y| > 0 ?

(1) x ≠ 0
(2) y = 0

KINDLY EXPLAIN STEP BY STEP

Given: xy + z = z or xy = 0
Required: |x-y| > 0.

Statement 1: x ≠ 0
Under the given situation, xy = 0 only if y =0
Hence we have |x| > 0

The absolute value of any non zero number is always greater than 0
Hence we can definitely say that |x-y| > 0
SUFFICIENT

Statement 2: y = 0
This leaves us with |x| >0
But by xy = 0 we have either x = 0 or x ≠ 0

So, |x| = 0,
or |x| >0

Not a definitive answer for |x-y|
INSUFFICIENT
_________________

Reach out to us at bondwithus@gmatify.com

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 1786
GPA: 3.82
Followers: 127

Kudos [?]: 1057 [0], given: 0

Is xy + z = z, is |x-y| > 0 ? (1) x 0 (2) y = 0 [#permalink]

### Show Tags

03 Sep 2015, 04:35
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and equations ensures a solution.

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

(1) x ≠ 0
(2) y = 0

in the original condition we have xy+z=z, xy=0 and the question asks for |x-y|>0?
Since we have 2 variables and 1 equation, in order to match the number of variables and equations we need 1 more equation. Since there is 1 each in 1) and 2), D is likely the answer.

In case of 1), y = 0 thus the answer is always yes. Therefore it is sufficient.
In case of 2), x = 2 and y = 0 thus the answer is yes, but if x = 0 and y = 0 the answer is no. Therefore it is not sufficient.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
Unlimited Access to over 120 free video lessons - try it yourself

Is xy + z = z, is |x-y| > 0 ? (1) x 0 (2) y = 0   [#permalink] 03 Sep 2015, 04:35
Similar topics Replies Last post
Similar
Topics:
1 If xy < 0, is x/y > z ? (1) xyz < 0 (2) x > yz 2 17 Sep 2015, 00:53
Is X^2Y^3Z^2>0 ? (1) XY>0 (2) YZ<0 3 17 Aug 2015, 14:59
22 If xyz ≠ 0, is x(y + z) >= 0? 17 28 Oct 2010, 22:37
16 If xy + z = z, is |x - y| > 0? 21 19 Sep 2010, 01:37
7 If xyz ≠ 0, is x(y + z) >= 0? 8 26 Jul 2008, 00:41
Display posts from previous: Sort by