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# Is x an even integer? (1) x is the square of an integer. (2)

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Director
Joined: 05 Jan 2008
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Is x an even integer? (1) x is the square of an integer. (2) [#permalink]  25 May 2008, 00:39
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11. Is x an even integer?

(1) x is the square of an integer.
(2) x is the cube of an integer.
_________________

Persistence+Patience+Persistence+Patience=G...O...A...L

CEO
Joined: 17 Nov 2007
Posts: 3571
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 357

Kudos [?]: 1755 [1] , given: 358

Re: DS3-11: X even integer? [#permalink]  25 May 2008, 00:50
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Expert's post
So, the question is about C or E....

If x=m^6 where m is an integer, then x=(m^2)^3=(m^3)^2
So we can choose, for example, m=2 or m=3 and obtain odd or even x that satisfies both conditions.

E
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Director
Joined: 05 Jan 2008
Posts: 709
Followers: 2

Kudos [?]: 98 [0], given: 0

Re: DS3-11: X even integer? [#permalink]  25 May 2008, 00:56
thanks walker and all the best for your GMAT
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Persistence+Patience+Persistence+Patience=G...O...A...L

SVP
Joined: 04 May 2006
Posts: 1941
Schools: CBS, Kellogg
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Kudos [?]: 276 [0], given: 1

Re: DS3-11: X even integer? [#permalink]  25 May 2008, 00:58
walker wrote:
So, the question is about C or E....

If x=m^6 where m is an integer, then x=(m^2)^3=(m^3)^2
So we can choose, for example, m=2 or m=3 and obtain odd or even x that satisfies both conditions.

E

51 Math appoach is shorter or more time-saving than my approach!
Nice!
_________________
CEO
Joined: 17 Nov 2007
Posts: 3571
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 357

Kudos [?]: 1755 [0], given: 358

Re: DS3-11: X even integer? [#permalink]  25 May 2008, 01:23
Expert's post
prasannar wrote:
thanks walker and all the best for your GMAT

Thanks
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VP
Joined: 18 May 2008
Posts: 1300
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Re: DS3-11: X even integer? [#permalink]  25 May 2008, 08:22
When r u giving ur GMAT? All the best for that.

walker wrote:
prasannar wrote:
thanks walker and all the best for your GMAT

Thanks
CEO
Joined: 17 Nov 2007
Posts: 3571
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 357

Kudos [?]: 1755 [0], given: 358

Re: DS3-11: X even integer? [#permalink]  25 May 2008, 08:26
Expert's post
Thanks. May 28. My mind is going to boil away
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Re: DS3-11: X even integer?   [#permalink] 25 May 2008, 08:26
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