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# Is X*Y*Z an even integer 1. X * Y is an even integer

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Is X*Y*Z an even integer 1. X * Y is an even integer [#permalink]

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01 Jul 2008, 22:10
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Good question

i got tricked by this one

Is X*Y*Z an even integer
1. X * Y is an even integer
2. Y * Z is an even integer

Source :- GMAT Club tests

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01 Jul 2008, 22:15
statement 1 X*Y = A, is even
question : Is A*Z even, yes becuase A is even

Similarly for 2 Y*Z=B
A*B has to be even, becuase B is even

EDIT : on second thoughts, the answer should be E, the question never says that X Y Z are intergers.
So we can have
X = 1.5
Y = 4
Z = 1.5

XYZ = 9 (not even)

OR

X = 2
Y = 4
Z = 2

XYZ = 16 (even)

Last edited by durgesh79 on 01 Jul 2008, 22:19, edited 1 time in total.
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01 Jul 2008, 22:19
Since the stem does not say that X, Y and Z are integers, we need both the statements to establish that XYZ is even.
So, IMO-C
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01 Jul 2008, 22:23
I guess E, because X,Y,Z can be non-integers.

For example, X=4/3, Y=3, Z=8/3: XY=4, YZ=8, but XYZ=10,(6)
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01 Jul 2008, 22:52
walker wrote:
I guess E, because X,Y,Z can be non-integers.

For example, X=4/3, Y=3, Z=8/3: XY=4, YZ=8, but XYZ=10,(6)

I agree. I did not consider this case before. NOt C, I think its E now.
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02 Jul 2008, 00:32
It's E
we don't know whether X Y Z are integers or not.
1/4 8 1/4 will give us 1/2
1 8 1 will give us 8
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02 Jul 2008, 05:07
E!!!
We do not know whether or not X,Y,and Z are integers.
If they are not integers, then X*Y*Z is not an integer.
Example,
X=3/5
Y=5
Z=1/5
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02 Jul 2008, 05:19
Or: $$X=sqrt 2$$, $$Y=sqrt 2$$ and $$Z=sqrt 2$$
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02 Jul 2008, 09:39
E.

x,y,z can be fractions also.
Re: good DS question   [#permalink] 02 Jul 2008, 09:39
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