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# If X>1, what are X unique factors of x? 1> There are x

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Joined: 29 Nov 2009
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If X>1, what are X unique factors of x? 1> There are x [#permalink]  06 May 2010, 23:01
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If X>1, what are X unique factors of x?

1> There are x unique factors of x
2> The sum of x and any prime number larger than x is odd

can you please explian me the reasoning for this question.
Senior Manager
Joined: 25 Jun 2009
Posts: 309
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Kudos [?]: 86 [0], given: 6

Re: Number System ( Odd and Even) [#permalink]  07 May 2010, 00:49
divakarbio7 wrote:
If X>1, what are X unique factors of x?

1> There are x unique factors of x
2> The sum of x and any prime number larger than x is odd

can you please explian me the reasoning for this question.

IMO A

1. If the number has x unique factors, so lets plug in numbers .. say for e.g 2, 2 has 2 factors (1 and 2) lets say 3 then 3 also has 2 factors ( 1,3) similarly if we take some more numbers we will see that all numbers greater than 2 has factors which are not equal to the number ( say 4 has only 3 factors ) hence 2 is the only number which satisfies the condition - Sufficient

2. This only implies that X is an even number, it can 2 or 4 or may be 6 etc. - Insufficient

Whats the OA ?
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Kudos [?]: 1118 [0], given: 235

Re: Number System ( Odd and Even) [#permalink]  07 May 2010, 01:44
Re: Number System ( Odd and Even)   [#permalink] 07 May 2010, 01:44
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# If X>1, what are X unique factors of x? 1> There are x

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