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20 Dec 2018, 02:25
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B
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Difficulty:
15%
(low)
Question Stats:
78% (01:25) correct
22%
(01:37)
wrong
based on 147
sessions
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The integer x is even and the integer y is odd. Is the integer z odd?
(1) xyz+ 1 is odd.
(2) xy + xz + yz is even.
(1) xyz+ 1 is odd.
(2) xy + xz + yz is even.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
20 Dec 2018, 03:51
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Bunuel
x is even & y is odd.
1) xyz+1=odd. xy is even, z can be either even or odd. Insufficient.
2) xy=even, xz=even, as x is even. hence, yz is even. As Even + Even + x is even, So, x is even.
Since y is odd, so z is even. Z isn't odd. Sufficient.
IMO, Option B.
20 Dec 2018, 04:23
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Bunuel
Note : x = even. y=odd.
Statement 1; xyz + 1 = odd. xyz=even as x is even. it's not possible to identify specifically whether z is odd or even. NOT sufficient.
Statement 2. xy =even. xz =even. y =odd. So, z has to be an even integer in order to make the statement true. Sufficient. z =even.
The correct answer is B.
