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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]  01 Dec 2008, 13:07
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If the integer n is greater than 1, is n equal to 2?
1) n has exactly two positive factors
2) The difference of any two distinct positive factors of n is odd
Current Student
Joined: 28 Dec 2004
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Re: OG: DS - 132 [#permalink]  01 Dec 2008, 13:25
i get B..

any distinct factors is only possible if n=2
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Re: OG: DS - 132 [#permalink]  01 Dec 2008, 14:28
B

factors 2 is the only integer which has two factors and difference of factors is odd
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Re: OG: DS - 132 [#permalink]  22 Dec 2008, 05:19
OA is indeed B. Thanks guys!
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Re: OG: DS - 132 [#permalink]  02 Jan 2009, 11:20
I think C.

For example if n = 12 = 4*3
4-3 =1 (odd)

but if we take 1 also we can say n is also a prime number so it will have only 1 and n as factors.
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Re: OG: DS - 132 [#permalink]  03 Jan 2009, 15:16
mar2hathoda wrote:
I think C.

For example if n = 12 = 4*3
4-3 =1 (odd)

but if we take 1 also we can say n is also a prime number so it will have only 1 and n as factors.

N=12 will not fit the B and hence all such numbers that are not prime will be ruled out

12 has factors, 1,2,3,4,6,12

12-6 or 12-4 is NOT odd.

we need all factors difference to be odd. So even numbers are out

If you take 15, you will see that 15-5 = 10 and odd numbers are out too.

Only prime numbers remain and all prime numbers other than 2 will have a even difference

Hence B
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Re: OG: DS - 132 [#permalink]  06 Jan 2009, 18:16
I also get C.
Unless (1) is included, how do you know that the number is prime? May be I am missing something.
icandy wrote:
mar2hathoda wrote:
I think C.

For example if n = 12 = 4*3
4-3 =1 (odd)

but if we take 1 also we can say n is also a prime number so it will have only 1 and n as factors.

N=12 will not fit the B and hence all such numbers that are not prime will be ruled out

12 has factors, 1,2,3,4,6,12

12-6 or 12-4 is NOT odd.

we need all factors difference to be odd. So even numbers are out

If you take 15, you will see that 15-5 = 10 and odd numbers are out too.

Only prime numbers remain and all prime numbers other than 2 will have a even difference

Hence B
Re: OG: DS - 132   [#permalink] 06 Jan 2009, 18:16
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