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# PS: m 24 #36

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Manager
Joined: 05 Jan 2009
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25 Jul 2009, 13:56
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Senior Manager
Joined: 25 Jun 2009
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Re: PS: m 24 #36 [#permalink]

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25 Jul 2009, 14:08
1
KUDOS
pmal04 wrote:

IMO it should be A, because as the first statement mentions the about the diff ; the smallest divisor for any +ve integer can be 1, So say if X is the biggest divisor and Y is the smallest then X-Y =21 and hence X =22.
Now if X is 22 then N is also 22. So its suff.

Second statement only tells us that N is a 1 less than a prime no. and hence not suff.

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Manager
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Re: PS: m 24 #36 [#permalink]

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29 Jul 2009, 22:00
A, by the same logic.
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Joined: 30 Jul 2009
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Re: PS: m 24 #36 [#permalink]

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30 Jul 2009, 20:05
statement B tells , N+1 has two divisor, this is case only when N+1 is a prome number.
refer Prime number properties.
Now if N+1= prime number={1,2,3,5,7,11,13,17,19,23,29,31,37,....)
so N={0,1,2,4,6,10,12,16,18,22,28,30,36,....}
Statement B says difference between largest and smallest divisor is 21
that means, combining both statements together would lead {1,22} because (22-1)=21
Re: PS: m 24 #36   [#permalink] 30 Jul 2009, 20:05
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