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GMATPrep Arithmetic

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Source: — Data Sufficiency |
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Re: GMATPrep Arithmetic

by parallel_chase » Sat Jul 19, 2008 3:15 pm
caramel3536 wrote:If R = 1 + 2xy +x(squared)y(squared)
What is the value of xy
(1) R = 0
(2) x>0

Ans = A
The answer is indeed A

R=1+2xy+x^2y^2 => (1+xy)^2

Statement I

R=0, therefore (1+xy)^2=0
xy=-1

Statement II
x>0

It does not gives us any specific value of x or y or R

Not Sufficient.


Hence A.
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by caramel3536 » Sun Jul 20, 2008 6:44 pm
Thanks
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by bhumika.k.shah » Wed Feb 03, 2010 10:55 am
parallel_chase wrote:
R=1+2xy+x^2y^2 => (1+xy)^2

Statement I

R=0, therefore (1+xy)^2=0
xy=-1
Hi, could you explain me the boldfaced part???
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by thephoenix » Wed Feb 03, 2010 11:00 am
bhumika.k.shah wrote:
parallel_chase wrote:
R=1+2xy+x^2y^2 => (1+xy)^2

Statement I

R=0, therefore (1+xy)^2=0
xy=-1
Hi, could you explain me the boldfaced part???
sq of any non zero no. will be a non zero number only
since after squaring the no. is zero -----> the no. itself is zero---->1+xy=0---->xy=-1
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by bhumika.k.shah » Wed Feb 03, 2010 7:55 pm
thephoenix wrote:
sq of any non zero no. will be a non zero number only
since after squaring the no. is zero -----> the no. itself is zero---->1+xy=0---->xy=-1
Again this is what i wanted to learn. The concept. THanks :-)
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by HPengineer » Sat Dec 25, 2010 12:02 pm
I solved this by saying X^2 x Y^2 = A

Then saying A^2 + 2A +1 = 0

(A + 1 ) (A +1)

A = -1 so XY = -1

Is this safe?
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by anshumishra » Sat Dec 25, 2010 12:22 pm
HPengineer wrote:I solved this by saying X^2 x Y^2 = A

Then saying A^2 + 2A +1 = 0

(A + 1 ) (A +1)

A = -1 so XY = -1

Is this safe?
Yes, it is safe.
I guess you meant to write : xy = A. (not X^2*Y^2=A).
Last edited by anshumishra on Sat Dec 25, 2010 5:21 pm, edited 1 time in total.
Thanks
Anshu

(Every mistake is a lesson learned )
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by HPengineer » Sat Dec 25, 2010 5:20 pm
u got where i was going! Thanks!
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