Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 23 May 2017, 18:27

### 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

# X Y and Z are positive integers. Is (X-Y)(Y-Z)(X-Z) > 0?

Author Message
CEO
Joined: 21 Jan 2007
Posts: 2747
Location: New York City
Followers: 11

Kudos [?]: 938 [0], given: 4

X Y and Z are positive integers. Is (X-Y)(Y-Z)(X-Z) > 0? [#permalink]

### Show Tags

15 Dec 2007, 16:36
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (01:36) wrong based on 3 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

X Y and Z are positive integers.
Is (X-Y)(Y-Z)(X-Z) > 0?

1. X^2 + YZ = XY + XZ
2. XY - Y^2 = XZ - YZ
SVP
Joined: 29 Aug 2007
Posts: 2476
Followers: 70

Kudos [?]: 774 [0], given: 19

Re: Algebra - Is (X-Y)(Y-Z)(X-Z) > 0? [#permalink]

### Show Tags

15 Dec 2007, 18:56
bmwhype2 wrote:
X Y and Z are positive integers.
Is (X-Y)(Y-Z)(X-Z) > 0?

1. X^2 + YZ = XY + XZ
2. XY - Y^2 = XZ - YZ

1. x^2 - xy = xz - yz
x (x-y) = z (x - y)
x = z
suff.

2. XY - Y^2 = XZ - YZ
y (x - y) = z (x - y)
y = z

suff.

D.
CEO
Joined: 29 Mar 2007
Posts: 2562
Followers: 21

Kudos [?]: 453 [0], given: 0

Re: Algebra - Is (X-Y)(Y-Z)(X-Z) > 0? [#permalink]

### Show Tags

15 Dec 2007, 22:17
bmwhype2 wrote:
X Y and Z are positive integers.
Is (X-Y)(Y-Z)(X-Z) > 0?

1. X^2 + YZ = XY + XZ
2. XY - Y^2 = XZ - YZ

1: X^2-XZ=XY-YZ -> X(X-Z)=Y(X-Z) X=Y So suff b/c one of the above terms will be 0.

2: XY-XZ=Y^2-YZ --> X(Y-Z)=Y(Y-Z) X=Y

again one of the above terms will be 0.
Intern
Joined: 09 Nov 2009
Posts: 1
Followers: 0

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

Re: Algebra - Is (X-Y)(Y-Z)(X-Z) > 0? [#permalink]

### Show Tags

09 Nov 2009, 04:59
x<y<z would make it negative..so the answer to your question is a big NO.
Manager
Joined: 23 Jun 2009
Posts: 149
Followers: 1

Kudos [?]: 14 [0], given: 9

Re: Algebra - Is (X-Y)(Y-Z)(X-Z) > 0? [#permalink]

### Show Tags

11 Nov 2009, 20:18
Good question,
"D".
Re: Algebra - Is (X-Y)(Y-Z)(X-Z) > 0?   [#permalink] 11 Nov 2009, 20:18
Display posts from previous: Sort by