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# if z is an integer smaller than integer n but greater than

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Senior Manager
Joined: 18 Sep 2009
Posts: 349
if z is an integer smaller than integer n but greater than [#permalink]

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22 Oct 2010, 05:58
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48% (01:14) correct 52% (01:31) wrong based on 69 sessions

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if z is an integer smaller than integer n but greater than zero, is z a factor of n?
(1) n is divisible by all the positive integers less than or equal to 9.
(2) z is not a multiple of a prime number.
[Reveal] Spoiler: OA
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Joined: 02 Sep 2009
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22 Oct 2010, 06:09
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TomB wrote:
if z is an integer smaller than integer n but greater than zero, is z a factor of n?
(1) n is divisible by all the positive integers less than or equal to 9.
(2) z is not a multiple of a prime number.

Given: $$0<(z=integer)<(n=integer)$$. Question: is $$z$$ a factor of $$n$$?

(1) n is divisible by all the positive integers less than or equal to 9 --> if $$z=1$$ and $$n=9!$$ (note that $$n$$ could be less than 9!) then the answer would be YES but if $$z=11$$ and $$n=9!$$ then the answer would be NO. Not sufficient.

(2) z is not a multiple of a prime number --> $$z=1$$ (the only positive integer which is not a multiple of any prime is 1) and 1 is a factor of every integer including $$n$$. Sufficient.

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Re: if z is an integer smaller than integer n but greater than [#permalink]

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15 Jun 2016, 14:44
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Re: if z is an integer smaller than integer n but greater than [#permalink]

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04 Aug 2017, 00:19
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: if z is an integer smaller than integer n but greater than   [#permalink] 04 Aug 2017, 00:19
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