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: If x^3*y = 24, what is the value of x^2*y^3 - x^2*y^2? [#permalink]

Show Tags

20 Apr 2010, 07:13

Hussain15 wrote:

If \(X^3Y = 24\), what is the value of \(X^3Y^3\) – \(X^2Y^2\)? (1) \(X^2Y^2 = 36\). (2) \(X^3Y^2 = 72\).

1. you can write it as X*X*Y*Y = 36. there are 2 pairs of X*Y so X*Y = +-6 since we dont know if the 6 is positive or negative and the questions has you raise to an odd power A is INSUFF

2. we know from the question X^3 * Y =24 and this choice has an extra Y so the difference is a factor of 3 so Y=3. now plugging back in Y you find X=2 so SUFF.

Re: If x^3*y = 24, what is the value of x^2*y^3 - x^2*y^2? [#permalink]

Show Tags

26 Sep 2010, 00:39

answer is A....explanation:- Statement 1 tells that XY =+6 or -6 but it is given that X2*XY is possitive hence XY has to be positive.....2nd statement tells that X is posstive but you can not derive the value of XY.

Re: If x^3*y = 24, what is the value of x^2*y^3 - x^2*y^2? [#permalink]

Show Tags

26 Sep 2010, 00:44

deeplakshya wrote:

answer is A....explanation:- Statement 1 tells that XY =+6 or -6 but it is given that X2*XY is possitive hence XY has to be positive.....2nd statement tells that X is posstive but you can not derive the value of XY.

Statement 2 says X is positive -----correct

the question says \(x^3 *y\) = 24 = positive => only possible when x and y are of same sign =>either -ve or +ve

since x is positive y will also be positive.
_________________

Re: If x^3*y = 24, what is the value of x^2*y^3 - x^2*y^2? [#permalink]

Show Tags

29 Dec 2014, 07:25

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.
_________________

Re: If x^3*y = 24, what is the value of x^2*y^3 - x^2*y^2? [#permalink]

Show Tags

02 Jan 2015, 01:45

If x^3*y = 24, what is the value of x^3*y^3 - x^2*y^2?

(1) x^2*y^2 = 36. (2) x^3*y^2 = 72.

From Stmnt.1 we can deduce XY = 6(square of a number can be negative but a square root can't be negative..correct me if am wrong), which will suffice to get unique value for the given question.

From Stmnt.2, here we need to do some substitution: x^3*y^2 = 72 --> Y(X^3*Y)=72 --> Y(24)=72 --> Y=3 If Y=3, X^3*Y=24 -->X^3=8 --> X=2 With X=2 and Y=3 we will be able to get unique value for the given question.

Re: If x^3*y = 24, what is the value of x^2*y^3 - x^2*y^2? [#permalink]

Show Tags

02 Apr 2016, 23:29

I think the trick to this one is recognizing the following:

1.) x^2*y^2 = (x*y)^2 = 36 ==> x*y = 6. We know this has to be positive 6 because of the fact x^3*y = 24. Therefore, sufficient. 2.)x^3*y^2 = 72 = 8*9 = 2^3*3^2. Therefore, x = 2 and y = 3. Sufficient

D is the answer

gmatclubot

Re: If x^3*y = 24, what is the value of x^2*y^3 - x^2*y^2?
[#permalink]
02 Apr 2016, 23:29

Since my last post, I’ve got the interview decisions for the other two business schools I applied to: Denied by Wharton and Invited to Interview with Stanford. It all...

[rss2posts title=The MBA Manual title_url=https://mbamanual.com/2016/11/22/mba-vs-mim-guest-post/ sub_title=MBA vs. MiM :3qa61fk6]Hey, guys! We have a great guest post by Abhyank Srinet of MiM-Essay . In a quick post and an...

Marketing is one of those functions, that if done successfully, requires a little bit of everything. In other words, it is highly cross-functional and requires a lot of different...