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

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Intern
Joined: 15 Oct 2011
Posts: 41

Kudos [?]: 9 [0], given: 37

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

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02 Nov 2012, 13:50
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Difficulty:

65% (hard)

Question Stats:

53% (01:20) correct 47% (01:19) wrong based on 77 sessions

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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.

Kudos [?]: 9 [0], given: 37

Math Expert
Joined: 02 Sep 2009
Posts: 41889

Kudos [?]: 129205 [0], given: 12196

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

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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.

_________________

Kudos [?]: 129205 [0], given: 12196

Intern
Joined: 15 Oct 2011
Posts: 41

Kudos [?]: 9 [0], given: 37

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

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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.

Kudos [?]: 9 [0], given: 37

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16576

Kudos [?]: 273 [0], given: 0

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

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22 Jul 2014, 04:54
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Kudos [?]: 273 [0], given: 0

Re: x, y are non zero integers: Is x^y < y^x   [#permalink] 22 Jul 2014, 04:54
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