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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]  29 May 2008, 10:56
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
SVP
Joined: 30 Apr 2008
Posts: 1893
Location: Oklahoma City
Schools: Hard Knocks
Followers: 27

Kudos [?]: 398 [0], given: 32

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

_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$. SVP Joined: 08 Nov 2006 Posts: 1560 Location: Ann Arbor Schools: Ross '10 Followers: 12 Kudos [?]: 158 [0], given: 1 Re: GMAT Trap Ques - Please HELP! [#permalink] 29 May 2008, 13:01 I think the question is {{2}^{{(x+y)}^{2}}}/{2}^{{(x-y)}^{2}} If you expand the exponents and reduce the expression, it will become {2}^{4xy} if xy=1, then the expression then becomes {2}^{4}. The answer is 16. SVP Joined: 30 Apr 2008 Posts: 1893 Location: Oklahoma City Schools: Hard Knocks Followers: 27 Kudos [?]: 398 [0], given: 32 Re: GMAT Trap Ques - Please HELP! [#permalink] 29 May 2008, 13:06 That makes sense because when you have the same base (i.e., \frac{2^4}{2^3} = 2^1 = 2), you subtract the denominator's exponent from the numerator's exponent. ncprasad wrote: I think the question is {{2}^{{(x+y)}^{2}}}/{2}^{{(x-y)}^{2}} If you expand the exponents and reduce the expression, it will become {2}^{4xy} if xy=1, then the expression then becomes {2}^{4}. The answer is 16. _________________ ------------------------------------ J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

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Posts: 3413
Location: New York City
Schools: Wharton'11 HBS'12
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Kudos [?]: 145 [0], given: 2

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..
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