It is currently 22 Nov 2017, 00:45

### 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

# If xy not equal 0 and x^2*y^2 -xy = 6, which of the followin

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 13 Jun 2005
Posts: 252

Kudos [?]: 19 [2], given: 0

Location: Haverhill, MA
If xy not equal 0 and x^2*y^2 -xy = 6, which of the followin [#permalink]

### Show Tags

18 Jan 2006, 20:15
2
KUDOS
6
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

74% (01:29) correct 26% (01:57) wrong based on 284 sessions

### HideShow timer Statistics

If xy not equal 0 and x^2*y^2 -xy = 6, which of the following could be y in terms of x?

I. 1/2x
II. -2/x
III. 3/x

A. I only
B. II only
C. I and II
D. I and III
E. II and III

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-xy-0-and-x-2-y-2-xy-6-which-of-the-following-could-be-y-126166.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 07 Nov 2013, 09:37, edited 1 time in total.
Renamed the topic, edited the question and added the OA.

Kudos [?]: 19 [2], given: 0

VP
Joined: 21 Sep 2003
Posts: 1057

Kudos [?]: 82 [8], given: 0

Location: USA

### Show Tags

18 Jan 2006, 20:42
8
KUDOS
2
This post was
BOOKMARKED
Is it E?

Let xy = k

So the eqn becomes k^2 -k -6 = 0
=> (k-3) (k+2) = 0

k =3 or k = -2

xy = 3 or xy = -2

y = 3/x or y = -2/x ---> II & III
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

Kudos [?]: 82 [8], given: 0

Senior Manager
Joined: 05 Jan 2006
Posts: 381

Kudos [?]: 94 [0], given: 0

### Show Tags

18 Jan 2006, 22:49
x2y2 â€“ xy = 6
x2y2-xy-6 = 0
(xy-3)(xy+2)=0

xy = 3 or xy=-2
y = 3/x or y = -2/x

II and III only ans E

Kudos [?]: 94 [0], given: 0

CEO
Joined: 20 Nov 2005
Posts: 2892

Kudos [?]: 336 [0], given: 0

Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

### Show Tags

19 Jan 2006, 04:01
Instead of solving the main equation, I validated all three choices and then found E as answer.

But I agree that approach of solving will certainly save you time.
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Kudos [?]: 336 [0], given: 0

Senior Manager
Joined: 13 Jun 2005
Posts: 252

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

Location: Haverhill, MA

### Show Tags

19 Jan 2006, 20:39
good job guys the OA is E.

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

Non-Human User
Joined: 09 Sep 2013
Posts: 15562

Kudos [?]: 283 [0], given: 0

Re: If xy ≠ 0 and x2y2 xy = 6, which of the following [#permalink]

### Show Tags

07 Nov 2013, 09:04
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.
_________________

Kudos [?]: 283 [0], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 42302

Kudos [?]: 133002 [4], given: 12402

Re: If xy not equal 0 and x^2*y^2 -xy = 6, which of the followin [#permalink]

### Show Tags

07 Nov 2013, 09:44
4
KUDOS
Expert's post
2
This post was
BOOKMARKED
sperumba wrote:
If xy not equal 0 and x^2*y^2 -xy = 6, which of the following could be y in terms of x?

I. 1/2x
II. -2/x
III. 3/x

A. I only
B. II only
C. I and II
D. I and III
E. II and III

x^2*y^2-xy=6 --> (xy)^2-xy-6=0 --> factor quadratics for xy: (xy-3)(xy+2)=0 (or just solve quadratics for xy) --> either xy-3=0 and in this case y=3/x or xy+2=0 and in this case y=-2/x.

Hope it helps.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-xy-0-and-x-2-y-2-xy-6-which-of-the-following-could-be-y-126166.html
_________________

Kudos [?]: 133002 [4], given: 12402

Re: If xy not equal 0 and x^2*y^2 -xy = 6, which of the followin   [#permalink] 07 Nov 2013, 09:44
Display posts from previous: Sort by