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# M04-23

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Math Expert
Joined: 02 Sep 2009
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16 Sep 2014, 00:23
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Difficulty:

5% (low)

Question Stats:

79% (00:29) correct 21% (00:17) wrong based on 164 sessions

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Is integer $$z$$ odd?

(1) $$\frac{z}{3}$$ is odd

(2) $$3z$$ is odd

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Math Expert
Joined: 02 Sep 2009
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16 Sep 2014, 00:23
1
Official Solution:

(1) $$\frac{z}{3}$$ is odd. Given: $$\frac{z}{3}=odd$$, so $$z=3*\text{odd}=\text{odd}$$. Sufficient.

(2) $$3z$$ is odd. Given: $$3z=\text{odd}$$. In order the product of two integers 3 and $$z$$ to be odd both must be odd. So, $$z=\text{odd}$$. Sufficient.

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Joined: 15 Apr 2015
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27 Aug 2015, 10:34
1
I think this is a poor-quality question and I don't agree with the explanation. when z=6 in first statment, z/3 odd, but z is even na. how it is sufficient?
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27 Aug 2015, 12:16
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SoumiyaGoutham wrote:
I think this is a poor-quality question and I don't agree with the explanation. when z=6 in first statment, z/3 odd, but z is even na. how it is sufficient?

z/3 = 6/3 = 2 = even, not odd as given in first statement.
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Updated on: 10 Jan 2019, 03:07

Originally posted by wali786 on 10 Jan 2019, 02:28.
Last edited by wali786 on 10 Jan 2019, 03:07, edited 1 time in total.
Math Expert
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10 Jan 2019, 02:41
wali786 wrote:

Not clear what are you trying to say there but 3*1/2 = 3/2, not 1.
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10 Jan 2019, 03:06
Is integer zz odd?
(1) z3 is odd

(2) 3z is odd

Second Statement says 3z is odd. According to statement 2, z could (1/3) then 3z=1, which is still odd.
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10 Jan 2019, 03:11
wali786 wrote:
Is integer zz odd?
(1) z3 is odd

(2) 3z is odd

Second Statement says 3z is odd. According to statement 2, z could (1/3) then 3z=1, which is still odd.

Is integer z odd?

The stem defines z as integer, so z cannot be 1/3.
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10 Jan 2019, 07:01
Bunuel wrote:
Is integer $$z$$ odd?

(1) $$\frac{z}{3}$$ is odd

(2) $$3z$$ is odd

#1 :
z has to be odd sufficeint

#2 :
3z : will give odd integer when z is odd
sufficient

IMOD
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Re: M04-23   [#permalink] 10 Jan 2019, 07:01
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# M04-23

Moderators: chetan2u, Bunuel