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# If the integer n is greater than 1, is n equal to 2? 1. n

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Director
Joined: 16 Aug 2005
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If the integer n is greater than 1, is n equal to 2? 1. n [#permalink]  12 May 2006, 18:19
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If the integer n is greater than 1, is n equal to 2?

1. n has exactly two positive integers

2. The difference of any two distinct positive factors of n is odd

I already solved it, need to see you guys' explanation.

Thanks
Senior Manager
Joined: 08 Jun 2004
Posts: 499
Location: Europe
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2) is sufficient, 'cause only in in digit 2 can the difference of any two distinct positive factors be odd.
VP
Joined: 29 Dec 2005
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Re: Tricky DS - is n>2 [#permalink]  12 May 2006, 21:40
gmatmba wrote:
If the integer n is greater than 1, is n equal to 2?

1. n has exactly two positive integers
2. The difference of any two distinct positive factors of n is odd

is your question complete? statement 1 seems unclear...

if you mean:

1. n has exactly two positive factors (instead integers)
2. The difference of any two distinct positive factors of n is odd

agree with B.
Director
Joined: 16 Aug 2005
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Sorry Professor, you are correct, it should be 'factors' instead of 'integers'.

M8 - you said "'cause only in digit 2 can the difference of any two distinct positive factors be odd"

What about in the digit 6??
2 distinct positive factors are 2 and 3, and their difference is 1 as well??
Senior Manager
Joined: 08 Jun 2004
Posts: 499
Location: Europe
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Kudos [?]: 20 [0], given: 0

gmatmba wrote:
Sorry Professor, you are correct, it should be 'factors' instead of 'integers'.

M8 - you said "'cause only in digit 2 can the difference of any two distinct positive factors be odd"

What about in the digit 6??
2 distinct positive factors are 2 and 3, and their difference is 1 as well??

No problems.

From the question stem we are told that the difference of any two distinct positive factors
6 has four distinct posiitve factors 1,2,3 and 6. so the diff of any factors of 6 won't be equal 1, except 3 and 2 of course.
Director
Joined: 16 Aug 2005
Posts: 947
Location: France
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Kudos [?]: 10 [0], given: 0

Got it, I wasn't clear on that. Thanks for your explanation.

The OA is indeed B
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