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what is f?

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by sanju09 » Fri Mar 04, 2011 10:33 pm
If f is one factor of a prime p, then what is f?

(1) The two factors of p differ by 12.

(2) The two factors of p sum up to 14.


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by Anurag@Gurome » Fri Mar 04, 2011 11:06 pm
sanju09 wrote:If f is one factor of a prime p, then what is f?

(1) The two factors of p differ by 12
(2) The two factors of p sum up to 14
As p is prime, it has only two factors: 1 and p
Hence, f is equal to either 1 or p.

Statement 1: (p - 1) = 12 => p = 13
Possible values of f are 1 and 13

Not sufficient

Statement 2: (p + 1) = 14 => p = 13
Possible values of f are 1 and 13

Not sufficient

1 & 2 Together: Possible values of f are 1 and 13

Not sufficient

The correct answer is E.
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