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# How many different prime factors does positive integer n have?

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Joined: 10 Aug 2009
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How many different prime factors does positive integer n have?  [#permalink]

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19 Aug 2018, 13:42
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Difficulty:

(N/A)

Question Stats:

40% (00:31) correct 60% (01:42) wrong based on 5 sessions

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How many different prime factors does positive integer n have?
(1)$$48< n^2 < 99$$
(2) $$125n^2$$ has twelve factors

P.S: This problem is from stonecold set but I could not find any discussion for the same. The OA is D but I am not able to understand how statement 2 is sufficient, can anyone please explain.

Thanks

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Re: How many different prime factors does positive integer n have?  [#permalink]

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19 Aug 2018, 17:23
ravikumarmishra wrote:
How many different prime factors does positive integer n have?
(1)$$48< n^2 < 99$$
(2) $$125n^2$$ has twelve factors

P.S: This problem is from stonecold set but I could not find any discussion for the same. The OA is D but I am not able to understand how statement 2 is sufficient, can anyone please explain.

Thanks

Hi ravikumarmishra,
This question is discussed over the following link. Please refer the official solution provided by Bunuel. You can raise further queries if any.
https://gmatclub.com/forum/how-many-dif ... fl=similar
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Re: How many different prime factors does positive integer n have?   [#permalink] 19 Aug 2018, 17:23
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