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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
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Joined: 01 Apr 2008
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Schools: IIM Lucknow (IPMX) - Class of 2014
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IS (X+Y)^3 an even integer? (1)X and Y are integers. (2)XY=9 [#permalink] New post 04 Jul 2009, 20:45
00:00
A
B
C
D
E

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(N/A)

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IS (X+Y)^3 an even integer?
(1)X and Y are integers.
(2)XY=9
Manager
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Joined: 28 Jan 2004
Posts: 203
Location: India
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Re: XY [#permalink] New post 04 Jul 2009, 23:07
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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.
Director
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Schools: IIM Lucknow (IPMX) - Class of 2014
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Re: XY [#permalink] New post 05 Jul 2009, 06:51
OA is C. Thanks

I was trapped by the Shell Game :) I got B coz i assumed X and Y to be integers.
Manager
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Joined: 28 Jan 2004
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Location: India
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Re: XY [#permalink] New post 05 Jul 2009, 09:00
Man when it comes to DS.................NEVER ASSUME :-)
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Re: IS (X+Y)^3 an even integer? (1)X and Y are integers. (2)XY=9 [#permalink] New post 27 Jul 2015, 21:23
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Re: IS (X+Y)^3 an even integer? (1)X and Y are integers. (2)XY=9   [#permalink] 27 Jul 2015, 21:23
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