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.
It appears that you are browsing the GMAT Club forum unregistered!
Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club
Registration gives you:
Tests
Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.
Applicant Stats
View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more
Books/Downloads
Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Re: Quadrant for the point [#permalink]
12 Nov 2009, 17:58
Bunuel wrote:
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. Given condition is true only if both X and Y are positive, so (X,Y) is in I quadrant. SUFFICIENT 2. Given condition is true only if both X and Y are positive, so (X,Y) is in I quadrant. SUFFICIENT
Re: Quadrant for the point [#permalink]
15 Nov 2009, 02:20
If this is 600-700 level question, i cant imagine 700-800level qs. Bunuel, We want more problems on co-ordinate DS and inEquality DS. Is it possible to post it in sets and then you set the time for each set...say 10qs 15mins...something like that?
Re: In which quadrant of the coordinate plane does the point [#permalink]
18 Jun 2012, 04:58
4
This post received KUDOS
Bunuel wrote:
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|
A remark regarding statement (1):
Since |xy|=|x||y|, the given expression can be written as (|x|+x)(|y|+y)>0. If either x or y is non-positive, the given expression equals 0. Otherwise, it is positive. So, necessarily, both x and y must be positive, and Statement (1) is sufficient. _________________
PhD in Applied Mathematics Love GMAT Quant questions and running.
Re: In which quadrant of the coordinate plane does the point [#permalink]
27 Mar 2013, 01:37
In which quadrant of the coordinate plane does the point (x, y) lie?
(1) |xy| + x|y| + |x|y + xy > 0 Case quadrant I (x,y)=(+,+) \(|xy| + x|y| + |x|y + xy\) \(xy +xy + xy + xy >0\) The first term is positive, the second the third and the fourt also. The sum of 4 positive integers is >0. so quadrant I is possible Case quadrant II (x,y)=(-,+) The first term is positive(as always will be), the second is negative, the third is positive, the fourth is negative \(|(-x)y| + (-x)|y| + |(-x)|y + (-x)y\) \(xy -xy + xy - xy =0\) and not >0 so quadrant II is not possible Case quadrant III (x,y)=(+,-) The first term is positive(as always will be), the second is positive, the third is negative, the fourth is negative \(|x(-y)| + x|(-y)| + |x|(-y) + x(-y)\) \(xy + xy - xy - xy =0\) not >0 so quadrant III is not possible Case quadrant IV (x,y)=(-,-) The first term is positive(as always will be), the second is negative, the third is negative, the fourth is positive \(|(-x)(-y)| + (-x)|(-y)| + |(-x)|(-y) + (-x)(-y)\) \(xy -xy - xy + xy =0\) and not >0 so quadrant IV is not possible
SUFFICIENT
(2) -x < -y < |y|
\(|y|>-y\) case y>0 \(y>-y\) \(y>0\) case y<0 \(-y>-y\) So \(y>0\) must be the case here We know that -y >-x and that y>0, we can sum these elements \(-y+y>-x+0\) \(0>-x\) \(x>0\) and given that x>0 and that y>0 the point is in the first quadrant
SUFFICIENT _________________
It is beyond a doubt that all our knowledge that begins with experience.
Re: In which quadrant of the coordinate plane does the point [#permalink]
27 Mar 2013, 03:47
Expert's post
mun23 wrote:
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|
Need help............
From F.S 1, for x,y>0, we can see that the sum will always be positive. For cases where x and y have opposite signs, the term |x|y and |y|x will cancel out each other and similarly, the terms |xy| and xy. Thus it will always be 0 hence not greater than 0. For the case where both x,y<0; the terms |x|y and |y|x will add upto give -2xy and the other two will give 2xy , thus again a 0. Thus Only in the first quadrant, is the given condition possible. Sufficient.
From F.S 2, we know that -y<|y|. Thus we can conclude that y>0. This leads to only the first or the second quadrant. Also, we have -x<-y or x>y. As, in the second quadrant, x<0, thus this is possible only in the first quadrant.Sufficient.
Re: In which quadrant of the coordinate plane does the point [#permalink]
29 Jul 2014, 16:17
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. _________________
As I’m halfway through my second year now, graduation is now rapidly approaching. I’ve neglected this blog in the last year, mainly because I felt I didn’...
Perhaps known best for its men’s basketball team – winners of five national championships, including last year’s – Duke University is also home to an elite full-time MBA...
Hilary Term has only started and we can feel the heat already. The two weeks have been packed with activities and submissions, giving a peek into what will follow...