equations

This topic has expert replies
User avatar
Junior | Next Rank: 30 Posts
Posts: 13
Joined: Wed Jun 23, 2010 10:32 pm

equations

by emiflo » Sun Jul 11, 2010 7:52 am
hi guys. i saw this question in my last gmat test by powerprep. If xy=1, what is the ans for the following

2(x+y)(x+y) .it was a tough one. thanks.
____________
2(x-y)(x-y)

PS: The ans is 16.

User avatar
Legendary Member
Posts: 1460
Joined: Tue Dec 29, 2009 1:28 am
Thanked: 135 times
Followed by:7 members

by selango » Sun Jul 11, 2010 9:23 am
Can you check the question again..I think one condition is missing in the question.
--Anand--

User avatar
GMAT Instructor
Posts: 3225
Joined: Tue Jan 08, 2008 2:40 pm
Location: Toronto
Thanked: 1710 times
Followed by:614 members
GMAT Score:800

by Stuart@KaplanGMAT » Sun Jul 11, 2010 10:41 pm
emiflo wrote:hi guys. i saw this question in my last gmat test by powerprep. If xy=1, what is the ans for the following

2(x+y)(x+y) .it was a tough one. thanks.
____________
2(x-y)(x-y)

PS: The ans is 16.
Hi,

that's definitely not an accurate restatement of the question.

Just plug in x=y=1 (satisfying xy=1) and you get:

2(2)(2)/2(0)(0) = 8/0 which is undefined, certainly not 16.

I'm guessing that one of the conditions was that xy did NOT equal 1 and there was other information as well.
Image

Stuart Kovinsky | Kaplan GMAT Faculty | Toronto

Kaplan Exclusive: The Official Test Day Experience | Ready to Take a Free Practice Test? | Kaplan/Beat the GMAT Member Discount
BTG100 for $100 off a full course

Legendary Member
Posts: 537
Joined: Fri Jan 22, 2010 10:06 pm
Thanked: 14 times
Followed by:1 members

by frank1 » Mon Jul 12, 2010 3:26 am
Stuart Kovinsky wrote:
Just plug in x=y=1 (satisfying xy=1) and you get:

2(2)(2)/2(0)(0) = 8/0 which is undefined, certainly not 16.

I'm guessing that one of the conditions was that xy did NOT equal 1 and there was other information as well.
well sir,
am i missing something here
the question doesnt say both numbers are integer that means
x=2 and y=1/2 still validates xy=1
and i get 25/9 in that case which gives some value...

so i think outcome now depends upon assumption of number like 3 and 1/3 and so on

question is not 100% correct ...
but am i missing something in what i am doing
thanks
GMAT score is equally counted as your GPA and 78 clicks can change you life.

User avatar
GMAT Instructor
Posts: 3225
Joined: Tue Jan 08, 2008 2:40 pm
Location: Toronto
Thanked: 1710 times
Followed by:614 members
GMAT Score:800

by Stuart@KaplanGMAT » Mon Jul 12, 2010 7:28 pm
frank1 wrote:
Stuart Kovinsky wrote:
Just plug in x=y=1 (satisfying xy=1) and you get:

2(2)(2)/2(0)(0) = 8/0 which is undefined, certainly not 16.

I'm guessing that one of the conditions was that xy did NOT equal 1 and there was other information as well.
well sir,
am i missing something here
the question doesnt say both numbers are integer that means
x=2 and y=1/2 still validates xy=1
and i get 25/9 in that case which gives some value...

so i think outcome now depends upon assumption of number like 3 and 1/3 and so on

question is not 100% correct ...
but am i missing something in what i am doing
thanks
You could pick values that make sense - but GMAT questions have to be true for all values, not just some of them.
Image

Stuart Kovinsky | Kaplan GMAT Faculty | Toronto

Kaplan Exclusive: The Official Test Day Experience | Ready to Take a Free Practice Test? | Kaplan/Beat the GMAT Member Discount
BTG100 for $100 off a full course