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Current Student
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If n is an odd integer greater than 1, is n prime? (1) n is [#permalink]
 29 Nov 2007, 12:43
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If n is an odd integer greater than 1, is n prime?
(1) n is a factor of 56
(2) 14 is a factor of 2n.
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VP
Joined: 09 Jul 2007
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young_gun wrote: If n is an odd integer greater than 1, is n prime?
(1) n is a factor of 56
(2) 14 is a factor of 2n.
1. not suff. as n=1, 2, 3, 4...
2. not suff. as n=7, 14,...
1 and 2
n=7, 14, 28...
E.
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CEO
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Ravshonbek wrote: young_gun wrote: If n is an odd integer greater than 1, is n prime?
(1) n is a factor of 56
(2) 14 is a factor of 2n. 1. not suff. as n=1, 2, 3, 4... 2. not suff. as n=7, 14,... 1 and 2n=7, 14, 28... E. I disagree
1) 56 --> 7 * 8 --> 7 *2*2*2 n is an odd integer GREATER THAN 1.
So N can only be 7. If u try and multpily 7 by any of the other factors, it becomes even and thus cannot be N.
Suff.
2) 2n/14 --> 2*n/2*7 --> n/7 N could be 7, 21, 35 etc...
So could be prime or not
A
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VP
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Ravshonbek wrote: young_gun wrote: If n is an odd integer greater than 1, is n prime?
(1) n is a factor of 56
(2) 14 is a factor of 2n. 1. not suff. as n=1, 2, 3, 4... 2. not suff. as n=7, 14,... 1 and 2n=7, 14, 28... E. thanks i missed that "ODD" integer point in the stem. thus put all factor integers in 1.
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Manager
Joined: 28 Sep 2007
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good pick up Gmatblackbelt, i missed that too.
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SVP
Joined: 28 Dec 2005
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yep, got A.
From statement 1, prime factorization of 56 gives 2,2,2,7. Only 7 fits the bill as being odd and greater than 1. Sufficient
From statement 2, we just know that n can be any multiple of 7, and those odd values, i.e. 7, 21, could be prime or not. So not sufficient.
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