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

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Director
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If the integer n is greater than 1, is n equal to 2? 1. n [#permalink]

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New post 12 May 2006, 19:19
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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
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New post 12 May 2006, 22:18
B is the answer.
2) is sufficient, 'cause only in in digit 2 can the difference of any two distinct positive factors be odd.
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Re: Tricky DS - is n>2 [#permalink]

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New post 12 May 2006, 22:40
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
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New post 13 May 2006, 01:55
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??
Please explain.
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New post 13 May 2006, 02:06
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??
Please explain.


No problems. :wink:

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.
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New post 13 May 2006, 03:21
Got it, I wasn't clear on that. Thanks for your explanation.

The OA is indeed B
  [#permalink] 13 May 2006, 03:21
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