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]

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

Director

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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]

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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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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13 May 2006, 02:06

gmatmba wrote:

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

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

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

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