Last visit was: 17 Sep 2026, 12:55 It is currently 17 Sep 2026, 12:55
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
   1   2 
User avatar
haihai89
User avatar
Joined: 09 May 2013
Last visit: 26 Feb 2016
Posts: 28
Own Kudos:
110
Given Kudos: 64
Location: United States
Concentration: Entrepreneurship, Marketing
Schools: DeGroote FT 15 Alberta University
GPA: 3.28
WE:Business Development (Consumer Packaged Goods)
Schools: DeGroote FT 15 Alberta University
Posts: 28
Kudos: 110
In which quadrant of the coordinate plane does the point 08 Dec 2014, 02:47
Kudos
Add Kudos
Bookmarks
Bookmark this Post
kunaljain1701
Bunuel , can u pls give one complete solution for this question. It is simplest to learn from your solutions which are short and apt.
Show more

In which quadrant of the coordinate plane does the point (x, y) lie?

(1) |xy| + x|y| + |x|y + xy > 0
(2) -x < -y < |y|

(1) SUFFICIENT:
Set |xy| + x|y| + |x|y + xy = A
There are 4 cases (equivalent to 4 quadrant) which we need to consider:
• x > 0, y > 0: A = xy + xy + xy + xy = 4xy > 0 => (x,y) belongs to the first quadrant
• x < 0, y > 0: xy – xy + xy – xy = 0 ; contradict with the first condition A>0 => (x,y) does not belong to the second quadrant
• x > 0, y < 0: xy + xy – xy – xy = 0 ; contradict with the first condition A>0 => (x,y) does not belong to the third quadrant
• x < 0, y < 0: xy – xy – xy + xy = 0; contradict with the first condition A>0 => (x,y) does not belong to the fourth quadrant
Either x or y must be not equal 0; otherwise A = 0; contradict with the first condition A>0
(2) SUFFICIENT:
|y|> -y => y>0 => x>y>0 => (x,y) belongs to the first quadrant

The correct answer is D.

Hope it helps!
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 17 Sep 2026
Posts: 7,355
Own Kudos:
17,522
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
My Reviews
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 7,355
Kudos: 17,522
In which quadrant of the coordinate plane does the point 17 Nov 2016, 21:48
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
In which quadrant of the coordinate plane does the point (x,y) lie?

(1) |xy| + x|y| + |x|y + xy > 0
(2) -x < -y < |y|
Show more


Please check the solution as attached

Answer: option D
Attachments

File comment: www.GMATinsight.com
1.jpg
1.jpg [ 96.6 KiB | Viewed 3118 times ]

User avatar
In which quadrant of the coordinate plane does the point 21 Apr 2018, 01:30
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
In which quadrant of the coordinate plane does the point (x,y) lie?

(1) |xy| + x|y| + |x|y + xy > 0
(2) -x < -y < |y|
Show more

Hi,
How can Statement 2 be true ?
Let's say x,y is (1,1)
so, the statement becomes -1<-1< |-1|
i.e -1<-1<1
It is not true.

Please explain what I'm missing.
Thanks in advance.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 17 Sep 2026
Posts: 113,630
Own Kudos:
841,919
Given Kudos: 111,614
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,630
Kudos: 841,919
In which quadrant of the coordinate plane does the point 21 Apr 2018, 01:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Shivikaa
Bunuel
In which quadrant of the coordinate plane does the point (x,y) lie?

(1) |xy| + x|y| + |x|y + xy > 0
(2) -x < -y < |y|

Hi,
How can Statement 2 be true ?
Let's say x,y is (1,1)
so, the statement becomes -1<-1< |-1|
i.e -1<-1<1
It is not true.

Please explain what I'm missing.
Thanks in advance.
Show more

-x < -y < |y| is true for ONLY positive values of x and y (which means that the point (x,y) lies in the first quadrant) but it's not true for ALL positive values of x and y.
User avatar
sriramkrishnan
User avatar
Joined: 03 Jan 2016
Last visit: 18 May 2021
Posts: 15
Own Kudos:
3
Given Kudos: 6
Schools: IIMA PGPX"18 IIMC PGPEX"18 ISB '15 IIMB'17
Schools: IIMA PGPX"18 IIMC PGPEX"18 ISB '15 IIMB'17
Posts: 15
Kudos: 3
In which quadrant of the coordinate plane does the point 08 May 2018, 06:44
Kudos
Add Kudos
Bookmarks
Bookmark this Post
For stmt 1 to be true, both x & y have to be +ve.
For stmt 2, lets deal it in two parts.
for -y<|y|; Y has to be positive.
now since Y is positive,
for -x<-y; x has to be positive and greater that Y.

In both cases X and Y are positive hence D.
avatar
righthand
avatar
Joined: 20 Jan 2020
Last visit: 05 Sep 2026
Posts: 31
Own Kudos:
285
Given Kudos: 66
Posts: 31
Kudos: 285
In which quadrant of the coordinate plane does the point 14 Aug 2020, 06:01
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
In which quadrant of the coordinate plane does the point (x,y) lie?

(1) |xy| + x|y| + |x|y + xy > 0
(2) -x < -y < |y|
Show more

here's what inequality plots of 2 inequalities look like:
Attachments

Inequality plots.jpg
Inequality plots.jpg [ 26.15 KiB | Viewed 1889 times ]

User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,220
Own Kudos:
1,160
Posts: 39,220
Kudos: 1,160
In which quadrant of the coordinate plane does the point 17 Jun 2025, 15:35
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
   1   2 
Moderators:
Bunuel
Math Expert
113630 posts
FrozenDragon
DI Forum Moderator
409 posts