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# If W,X,Y, and Z are integers such that W/X and Y/Z are

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Current Student
Joined: 31 Aug 2007
Posts: 369
If W,X,Y, and Z are integers such that W/X and Y/Z are [#permalink]

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17 Dec 2007, 19:10
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If W,X,Y, and Z are integers such that W/X and Y/Z are integers, is W/X and Y/Z odd?

(1) WX + YZ is odd
(2) WZ + XY is odd
Manager
Joined: 01 Nov 2007
Posts: 82

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17 Dec 2007, 19:26
I think it's A

wx+yz is odd so we are looking at one of two options: wx is odd and yz is even or vice versa - either way, both of them will not be ODD
Manager
Joined: 03 Sep 2006
Posts: 233

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17 Dec 2007, 19:33
Tried to pace myself, and got D:

I: wx + yz - odd
wz = even
yz = odd

w/x = 8/4 and y/z = 9/3 --> Ans NO (Left with A and D)

II. wz + xy = odd
wz = even (18*1)
xy = odd (9*3)

w/x = 18/9 and y/z = 3/1 --> Ans NO (Got D)
CEO
Joined: 29 Mar 2007
Posts: 2559

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17 Dec 2007, 19:44
young_gun wrote:
If W,X,Y, and Z are integers such that W/X and Y/Z are integers, is W/X and Y/Z odd?

(1) WX + YZ is odd
(2) WZ + XY is odd

1) WX+YZ= odd integer. this means WX or YZ is even and one is odd.

lets say we have 2*2 + 3*3 = odd. and 2/2 and 3/3 are both odd.

But if we have 12*3 + 3*3 =odd and we have 12/3 and 3/3 which are not both odd. Insuff.

2: Again one is even and one is odd

W/X and Y/Z must hold true. WX -> 12:3 and YZ-> 9:3

12*3+9*3 = odd. 12/3=4 and 9/3=3 So both are not odd.

I think B is suff. I cant find any combos where W/X and Y/Z are both odd.

With WZ+XY = odd.
Re: DS even/odd   [#permalink] 17 Dec 2007, 19:44
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