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

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Senior Manager
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Is z an integer? (1) 2z is not an integer. (2) z/2 is not an [#permalink] New post 15 Aug 2009, 02:18
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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] New post 15 Aug 2009, 02:49
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

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Re: integer [#permalink] New post 15 Aug 2009, 03:14
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] New post 15 Aug 2009, 03:34
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] New post 15 Aug 2009, 12:28
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, 12:28
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Is z an integer? (1) 2z is not an integer. (2) z/2 is not an

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