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# PS: m 24 #36

Author Message
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Manager
Joined: 05 Jan 2009
Posts: 83
Followers: 1

Kudos [?]: 24 [0], given: 2

PS: m 24 #36 [#permalink]  25 Jul 2009, 12:56
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Attachments

m24.JPG [ 46.65 KiB | Viewed 1154 times ]

Senior Manager
Joined: 25 Jun 2009
Posts: 309
Followers: 2

Kudos [?]: 86 [1] , given: 6

Re: PS: m 24 #36 [#permalink]  25 Jul 2009, 13:08
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.

Cheers
Manager
Joined: 22 Mar 2008
Posts: 56
Followers: 1

Kudos [?]: 10 [0], given: 1

Re: PS: m 24 #36 [#permalink]  29 Jul 2009, 21:00
A, by the same logic.
Intern
Joined: 29 Jul 2009
Posts: 2
Followers: 0

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

Re: PS: m 24 #36 [#permalink]  30 Jul 2009, 19:05
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, 19:05
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