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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: 29 Aug 2005
Posts: 855

Kudos [?]: 521 [0], given: 7

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

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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

Kudos [?]: 521 [0], given: 7

Current Student
Joined: 28 Dec 2004
Posts: 3345

Kudos [?]: 325 [0], given: 2

Location: New York City
Schools: Wharton'11 HBS'12
Re: OG: DS - 132 [#permalink]

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01 Dec 2008, 13:25
i get B..

any distinct factors is only possible if n=2

Kudos [?]: 325 [0], given: 2

Manager
Joined: 02 Nov 2008
Posts: 58

Kudos [?]: 2 [0], given: 0

Re: OG: DS - 132 [#permalink]

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01 Dec 2008, 14:28
B

factors 2 is the only integer which has two factors and difference of factors is odd

Kudos [?]: 2 [0], given: 0

Director
Joined: 29 Aug 2005
Posts: 855

Kudos [?]: 521 [0], given: 7

Re: OG: DS - 132 [#permalink]

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22 Dec 2008, 05:19
OA is indeed B. Thanks guys!

Kudos [?]: 521 [0], given: 7

Intern
Joined: 31 Dec 2008
Posts: 11

Kudos [?]: [0], given: 0

Re: OG: DS - 132 [#permalink]

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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.

Kudos [?]: [0], given: 0

VP
Joined: 05 Jul 2008
Posts: 1402

Kudos [?]: 454 [0], given: 1

Re: OG: DS - 132 [#permalink]

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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

Kudos [?]: 454 [0], given: 1

Manager
Joined: 04 Jan 2009
Posts: 237

Kudos [?]: 14 [0], given: 0

Re: OG: DS - 132 [#permalink]

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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

Kudos [?]: 14 [0], given: 0

Re: OG: DS - 132   [#permalink] 06 Jan 2009, 18:16
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# If the integer n is greater than 1, is n equal to 2? 1) n

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