It is currently 24 Feb 2018, 15:39

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

Events & Promotions in June
Open Detailed Calendar

If xy < 0, is x/y > z ? (1) xyz < 0 (2) x > yz

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43898
If xy < 0, is x/y > z ? (1) xyz < 0 (2) x > yz [#permalink]

Show Tags

New post 16 Sep 2015, 23:53
Expert's post
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

55% (01:28) correct 45% (01:30) wrong based on 176 sessions

HideShow timer Statistics

1 KUDOS received
Senior Manager
Senior Manager
User avatar
B
Joined: 28 Feb 2014
Posts: 296
Location: United States
Concentration: Strategy, General Management
Reviews Badge
Re: If xy < 0, is x/y > z ? (1) xyz < 0 (2) x > yz [#permalink]

Show Tags

New post 17 Sep 2015, 07:29
1
This post received
KUDOS
1
This post was
BOOKMARKED
If xy < 0, is x/y > z ?
2 scenarios
x is neg and y is pos
x is pos and y is neg


(1) xyz < 0
x is neg, y pos, z pos
x is pos, y neg, z pos
Both scenarios make z larger than x/y
Sufficient

(2) x > yz
x is neg, y pos, z neg
X is pos, y negative, z pos
If z is neg the question is yes
If z is positive question is no
Insufficient

Answer: A
Manager
Manager
avatar
Joined: 29 Jul 2015
Posts: 159
GMAT ToolKit User
Re: If xy < 0, is x/y > z ? (1) xyz < 0 (2) x > yz [#permalink]

Show Tags

New post 19 Sep 2015, 11:35
Bunuel wrote:
If xy < 0, is x/y > z ?

(1) xyz < 0
(2) x > yz

Kudos for a correct solution.


Since xy<0, x and y have opposite signs. And hence x/y is negative.

Statement 1:-
xyz<0
This is possible only when xy and z have opposite sign. We are already given that xy is negative.
So, z must be positive. and hence our question is answered.(x/y is not greater than z)
SUFFICIENT

Statement 2:-
Doesn't provide any information about sign of z.
INSUFFICIENT

Answer:- A
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13759
Premium Member
Re: If xy < 0, is x/y > z ? (1) xyz < 0 (2) x > yz [#permalink]

Show Tags

New post 15 Jan 2017, 13:24
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

VP
VP
avatar
P
Joined: 26 Mar 2013
Posts: 1442
Reviews Badge CAT Tests
Re: If xy < 0, is x/y > z ? (1) xyz < 0 (2) x > yz [#permalink]

Show Tags

New post 15 Jan 2017, 17:47
If xy < 0, is x/y > z ?

From the prompt,

x & y have different signs

(1) xyz < 0

xy is negative ....so z must be positive..... answer to question is NO (negative value can't be greater than positive one).

Sufficient

(2) x > yz

Let x =negative value then y is positive value. So z is negative.

Divide by y

x/y>z

Let x =positive value then y is negative value. So z is either positive or negative.

Divide by y then flip sign

x/y<z

Insufficient

Answer: A
Senior Manager
Senior Manager
User avatar
B
Joined: 23 Feb 2015
Posts: 473
GMAT ToolKit User
Re: If xy < 0, is x/y > z ? (1) xyz < 0 (2) x > yz [#permalink]

Show Tags

New post 03 Feb 2017, 01:03
peachfuzz wrote:
If xy < 0, is x/y > z ?
2 scenarios
x is neg and y is pos
x is pos and y is neg


(1) xyz < 0
x is neg, y pos, z pos
x is pos, y neg, z pos
Both scenarios make z larger than x/y
Sufficient

(2) x > yz
x is neg, y pos, z neg
X is pos, y negative, z pos
If z is neg the question is yes
If z is positive question is no
Insufficient

Answer: A

I'm just talking about the red part..
In the question stem: if xy<0, then
x-->(+)
y-->(-)

or,
x-->(-)
y-->(+)
If z is negative, the answer can't be YES always.
Here is test cases:
suppose,
x=-10
y=5
and z=-6
then, x/y>z?
-->-10/5>-6?
-->-2>-6?
--> YES
But, if
x=-10
y=5
and z=-1,
then, x/y>z?
-->-10/5>-1?
-->-2>-1?
-->NO....
Am I right Bunuel?
Thank you brother...
_________________

“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
― Henry Wadsworth Longfellow

Senior Manager
Senior Manager
avatar
G
Joined: 29 Oct 2016
Posts: 268
Concentration: Finance, Economics
GMAT 1: 620 Q50 V24
GRE 1: 314 Q167 V147
If xy < 0, is x/y > z ? (1) xyz < 0 (2) x > yz [#permalink]

Show Tags

New post 12 Feb 2017, 01:54
If xy < 0, is x/y > z ?

(1) xyz < 0
(2) x > yz

From stmt (1) and xy < 0,we can conclude that z > 0.
Since x and y must have the opposite sign,x/y <0.Thus,x/y < z.SUFFICIENT

From stmt (2)
x > yz.It could be transform to x/y > z ONLY if y > 0.We don't know for sure that y must be > 0.INSUFFICIENT

Ans A
If xy < 0, is x/y > z ? (1) xyz < 0 (2) x > yz   [#permalink] 12 Feb 2017, 01:54
Display posts from previous: Sort by

If xy < 0, is x/y > z ? (1) xyz < 0 (2) x > yz

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.