If y is odd, is z odd?

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Source: — Data Sufficiency |

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by GMATGuruNY » Sun Sep 22, 2019 4:10 am

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BTGmoderatorDC wrote:If y is odd, is z odd?

(1) xyz = odd
(2) yz = x

OA E

Source: Veritas Prep
Statements combined:
Case 1: y=1, z=1, x=1
yz=x --> 1*1 = 1
xyz = odd --> 1*1*1 = 1 = odd
In this case, z is odd, so the answer to the question stem is YES.

Case 2: y=3, z=1/3, x=1
yz=x -->(3)(1/3) = 1
xyz = odd --> (1)(3)(1/3) = 1 = odd
In this case, z is NOT odd, so the answer to the question stem is NO.

Since the answer is YES in Case 1 but NO in Case 2, the two statements combined are INSUFFICIENT.

The correct answer is E.
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