Is z an integer? (1) 2z is not an integer. (2) z/2 is not an

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Is z an integer? (1) 2z is not an integer. (2) z/2 is not an [#permalink]

15 Aug 2009, 03:18

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Is z an integer?

(1) 2z is not an integer.
(2) z/2 is not an integer.

Pls explain your logic.
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Re: integer [#permalink]

15 Aug 2009, 03:49

snipertrader wrote:

Is z an integer?

(1) 2z is not an integer.
(2) z/2 is not an integer.

Pls explain your logic.

from one

2 is even intiger , z is surely a fraction................suff

from 2

z could be intiger eg: 3 or it could be a fraction...insuff

A

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Re: integer [#permalink]

15 Aug 2009, 04:14

thanks yezz.

OA is A

When the question stem says - 2z is not an integer
can we infer -- 2z is a fraction ?
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Re: integer [#permalink]

15 Aug 2009, 04:34

snipertrader wrote:

thanks yezz.

OA is A

When the question stem says - 2z is not an integer
can we infer -- 2z is a fraction ?

as far as GMAT is concerned i can say yes

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Re: integer [#permalink]

15 Aug 2009, 13:28

Product of integer and integer is always an integer.
In 2z, 2 is already an integer, so if z is an integer then 2z will be an integer too, which is not allowed. So z should definitely be a fraction.
Now we can consider special fractions with denominator 2, so that 2z is reduced to z. But again, if 2z is not an integer, then z has to be some fraction.

Stmt 1 is sufficient.

For stmt 2, z can be 1/2 or 1 and so on. So insufficient.

Re: integer [#permalink] 15 Aug 2009, 13:28

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Is z an integer? (1) 2z is not an integer. (2) z/2 is not an

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Is z an integer? (1) 2z is not an integer. (2) z/2 is not an

Is z an integer? (1) 2z is not an integer. (2) z/2 is not an

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