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y is not zero, is (2^x/y)^x<1? 1). x>y 2). y< 0

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rampuria
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y is not zero, is (2^x/y)^x<1? 1). x>y 2). y< 0 [#permalink] New post   27 Oct 2008, 05:31
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A
B
C
D
E

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y is not zero, is (2^x/y)^xy
2). y< 0

Please explain your approach



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Re: y is not zero, is (2^x/y)^x<1? 1). x>y 2). y< 0 [#permalink] New post   27 Oct 2008, 07:41
(2^x/y)^x = (2^x)^x/(y)^x

from (1) x > y --> x^x > y^x --> 2^x^x > y^x --> (2^x/y)^x > 1 and hence Sufficient

(2) does not talk about x ..Not Suffcient

Hence answer should be (A).
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Re: y is not zero, is (2^x/y)^x<1? 1). x>y 2). y< 0 [#permalink] New post   27 Oct 2008, 07:55
i would go with B..

if y is negative then we have a fraction..
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Re: y is not zero, is (2^x/y)^x<1? 1). x>y 2). y< 0 [#permalink] New post   27 Oct 2008, 09:36
rampuria wrote:
y is not zero, is (2^x/y)^x<1?
1). x>y
2). y< 0

Please explain your approach


agree with B.

(2^x/y)^x = 2^(x^2/y)

1) x > y : not sure about y, which could be -ve or +ve. Either is suff but we need to know y whether it is -ve or +ve.

2) y< 0 : y is -ve. suff. the power of 2 becomes -ve, yeilding a +vwe fraction value.
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Re: y is not zero, is (2^x/y)^x<1? 1). x>y 2). y< 0 [#permalink] New post   27 Oct 2008, 13:25
GMAT TIGER wrote:
rampuria wrote:
y is not zero, is (2^x/y)^x<1?
1). x>y
2). y< 0

Please explain your approach


agree with B.

(2^x/y)^x = 2^(x^2/y)

1) x > y : not sure about y, which could be -ve or +ve. Either is suff but we need to know y whether it is -ve or +ve.

2) y< 0 : y is -ve. suff. the power of 2 becomes -ve, yeilding a +vwe fraction value.


Oh.. I got the question wrong. I read it as 2^x is divided by y and complete thing raised ti power x. It looks like the stem is 2 raised to the power x/y and complete thing raised to power x.
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Re: y is not zero, is (2^x/y)^x<1? 1). x>y 2). y< 0 [#permalink] New post   27 Oct 2008, 14:08
krishan wrote:
GMAT TIGER wrote:
rampuria wrote:
y is not zero, is (2^x/y)^xy
2). y y : not sure about y, which could be -ve or +ve. Either is suff but we need to know y whether it is -ve or +ve.

2) y< 0 : y is -ve. suff. the power of 2 becomes -ve, yeilding a +vwe fraction value.


Oh.. I got the question wrong. I read it as 2^x is divided by y and complete thing raised ti power x. It looks like the stem is 2 raised to the power x/y and complete thing raised to power x.


Yep! I was wondering whether the Q is

\(( 2 ^ (x/y) ) ^ x or ( ( 2 ^ x) / y ) ^ x\)



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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gmatclubot
Re: y is not zero, is (2^x/y)^x<1? 1). x>y 2). y< 0 [#permalink]
27 Oct 2008, 14:08
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