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If xy=1, what is the value of / ? A)2 B)4 C)8 D)16 E)32 Is

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If xy=1, what is the value of / ? A)2 B)4 C)8 D)16 E)32 Is [#permalink] New post 29 May 2008, 10:56
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If xy=1, what is the value of [2(x+y)^2]/[2(x-y)^2]?

A)2
B)4
C)8
D)16
E)32


Is integer x positive ?

1) x > x^3
2) x < x^2

If p,q,r are even numbers such that 2<p<q<r
what is the value of q ?
1) r<10
2)p<6
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Re: GMAT Trap Ques - Please HELP! [#permalink] New post 29 May 2008, 11:31
Do you mean it to be this...

\(\frac{2(x+y)^2}{2(x-y)^2}\)

If so, that would become

\(\frac{2(x^2 + 2xy + y^2)}{2(x^2 - 2xy + y^2)}\)

\(\frac{2x^2 + 4xy + 2y^2}{2x^2 - 4xy + 2y^2}\)

If xy=1, then...

\(\frac{2x^2 + 4 + 2y^2}{2x^2 - 4 + 2y^2}\)

From this, if I did it right, none of the answer choices fit.

Extremepbs wrote:
If xy=1, what is the value of [2(x+y)^2]/[2(x-y)^2]?

A)2
B)4
C)8
D)16
E)32


Is integer x positive ?

1) x > x^3
2) x < x^2

If p,q,r are even numbers such that 2<p<q<r
what is the value of q ?
1) r<10
2)p<6

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J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

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Re: GMAT Trap Ques - Please HELP! [#permalink] New post 29 May 2008, 13:01
I think the question is

\({{2}^{{(x+y)}^{2}}}/{2}^{{(x-y)}^{2}}\)

If you expand the exponents and reduce the expression, it will become \({2}^{4xy}\)

if xy=1, then the expression then becomes \({2}^{4}\). The answer is 16.
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Re: GMAT Trap Ques - Please HELP! [#permalink] New post 29 May 2008, 13:06
That makes sense because when you have the same base (i.e., \(\frac{2^4}{2^3} = 2^1 = 2\)), you subtract the denominator's exponent from the numerator's exponent.

ncprasad wrote:
I think the question is

\({{2}^{{(x+y)}^{2}}}/{2}^{{(x-y)}^{2}}\)

If you expand the exponents and reduce the expression, it will become \({2}^{4xy}\)

if xy=1, then the expression then becomes \({2}^{4}\). The answer is 16.

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Re: GMAT Trap Ques - Please HELP! [#permalink] New post 29 May 2008, 15:39
ncprasad wrote:
I think the question is

\({{2}^{{(x+y)}^{2}}}/{2}^{{(x-y)}^{2}}\)

If you expand the exponents and reduce the expression, it will become \({2}^{4xy}\)

if xy=1, then the expression then becomes \({2}^{4}\). The answer is 16.


i too get 2^4... assuming thats what the question asks..
Re: GMAT Trap Ques - Please HELP!   [#permalink] 29 May 2008, 15:39
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