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# Is the integer z odd? (1) z is positive. (2) The average (arithmetic

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Math Expert
Joined: 02 Sep 2009
Posts: 52153
Is the integer z odd? (1) z is positive. (2) The average (arithmetic  [#permalink]

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01 Jan 2018, 09:45
00:00

Difficulty:

25% (medium)

Question Stats:

86% (00:40) correct 14% (00:52) wrong based on 27 sessions

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Is the integer z odd?

(1) z is positive.
(2) The average (arithmetic mean) of z and 2 is an integer.

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Joined: 25 Feb 2013
Posts: 1220
Location: India
GPA: 3.82
Re: Is the integer z odd? (1) z is positive. (2) The average (arithmetic  [#permalink]

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01 Jan 2018, 09:54
1
Bunuel wrote:
Is the integer z odd?

(1) z is positive.
(2) The average (arithmetic mean) of z and 2 is an integer.

Statement 1: $$z$$ can be even or odd. Insufficient

Statement 2: $$z+2$$ is divisible by $$2$$ so $$z$$ has to be even. Sufficient

Option B
Re: Is the integer z odd? (1) z is positive. (2) The average (arithmetic &nbs [#permalink] 01 Jan 2018, 09:54
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