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# IS (X+Y)^3 an even integer? (1)X and Y are integers. (2)XY=9

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Director
Joined: 01 Apr 2008
Posts: 875

Kudos [?]: 843 [0], given: 18

Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
IS (X+Y)^3 an even integer? (1)X and Y are integers. (2)XY=9 [#permalink]

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04 Jul 2009, 21:45
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IS (X+Y)^3 an even integer?
(1)X and Y are integers.
(2)XY=9

Kudos [?]: 843 [0], given: 18

Manager
Joined: 28 Jan 2004
Posts: 202

Kudos [?]: 28 [0], given: 4

Location: India

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05 Jul 2009, 00:07
1
This post was
BOOKMARKED
C.

Stmt 1 -
Only tell X,Y are integers. Clearly insuff.

Stmt 2 -
XY = 9
There can be many values of X,Y which can satisfy this like
X = 2/3 Y = 27/2 etc.

Combine -
Since X and Y are integers so only possible vaues of X and Y are
X = 1,-1 and Y = 9,-9
X = 3,-3 and Y = 3,-3
In either case x + y is even so (x+y)^3 is also even.

Kudos [?]: 28 [0], given: 4

Director
Joined: 01 Apr 2008
Posts: 875

Kudos [?]: 843 [0], given: 18

Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014

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05 Jul 2009, 07:51
OA is C. Thanks

I was trapped by the Shell Game I got B coz i assumed X and Y to be integers.

Kudos [?]: 843 [0], given: 18

Manager
Joined: 28 Jan 2004
Posts: 202

Kudos [?]: 28 [0], given: 4

Location: India

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05 Jul 2009, 10:00
Man when it comes to DS.................NEVER ASSUME

Kudos [?]: 28 [0], given: 4

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16730

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Re: IS (X+Y)^3 an even integer? (1)X and Y are integers. (2)XY=9 [#permalink]

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27 Jul 2015, 22:23
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: IS (X+Y)^3 an even integer? (1)X and Y are integers. (2)XY=9   [#permalink] 27 Jul 2015, 22:23
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