x, y are non zero integers: Is x^y < y^x

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x, y are non zero integers: Is x^y < y^x [#permalink]

02 Nov 2012, 13:50

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x, y are non zero integers: Is x^y < y^x

(1) x<y
(2) x and y are consecutive integers

What's the fastest method to solve this problem?

[Reveal] Spoiler: OA

Last edited by Bunuel on 02 Nov 2012, 14:22, edited 1 time in total.

Renamed the topic and edited the question.

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Re: x, y are non zero integers: Is x^y < y^x [#permalink]

02 Nov 2012, 14:28

prep wrote:

x, y are non zero integers: Is x^y < y^x

(1) x<y
(2) x and y are consecutive integers

What's the fastest method to solve this problem?

I'd say number plugging.

For (1)+(2) if x=1 and y=2, then the answer is YES but if x=3 and y=4, then the answer is NO. Not sufficient.

Answer: E.
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Intern

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Posts: 35

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Kudos [?]: 1 [0], given: 21

Re: x, y are non zero integers: Is x^y < y^x [#permalink]

02 Nov 2012, 15:36

Brilliant, thanks! I was trying negative no's and using Y as -2 to evaluate all alternatives!

Bunuel wrote:

prep wrote:

x, y are non zero integers: Is x^y < y^x

(1) x<y
(2) x and y are consecutive integers

What's the fastest method to solve this problem?

I'd say number plugging.

For (1)+(2) if x=1 and y=2, then the answer is YES but if x=3 and y=4, then the answer is NO. Not sufficient.

Answer: E.

Re: x, y are non zero integers: Is x^y < y^x [#permalink] 02 Nov 2012, 15:36

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x, y are non zero integers: Is x^y < y^x

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x, y are non zero integers: Is x^y < y^x

x, y are non zero integers: Is x^y < y^x

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