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

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Senior Manager
Joined: 04 Sep 2008
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Schools: La Martiniere for Boys
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y is not zero, is (2^x/y)^x<1? 1). x>y 2). y< 0 [#permalink]  27 Oct 2008, 04:31
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y is not zero, is (2^x/y)^x<1?
1). x>y
2). y< 0

Please explain your approach
_________________

Thanks
rampuria

Manager
Joined: 28 Jul 2004
Posts: 136
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
Followers: 1

Kudos [?]: 23 [0], given: 2

Re: DS [#permalink]  27 Oct 2008, 06:41
(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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kris

Current Student
Joined: 28 Dec 2004
Posts: 3387
Location: New York City
Schools: Wharton'11 HBS'12
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Kudos [?]: 186 [0], given: 2

Re: DS [#permalink]  27 Oct 2008, 06:55
i would go with B..

if y is negative then we have a fraction..
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Joined: 29 Aug 2007
Posts: 2493
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Re: DS [#permalink]  27 Oct 2008, 08:36
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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Manager
Joined: 28 Jul 2004
Posts: 136
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
Followers: 1

Kudos [?]: 23 [0], given: 2

Re: DS [#permalink]  27 Oct 2008, 12:25
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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kris

VP
Joined: 05 Jul 2008
Posts: 1431
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Kudos [?]: 260 [0], given: 1

Re: DS [#permalink]  27 Oct 2008, 13:08
krishan wrote:
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.

Yep! I was wondering whether the Q is

$$( 2 ^ (x/y) ) ^ x or ( ( 2 ^ x) / y ) ^ x$$
Re: DS   [#permalink] 27 Oct 2008, 13:08
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# y is not zero, is (2^x/y)^x<1? 1). x>y 2). y< 0

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