Data sufficiency

If
N = 3

^{x }x 5^{y}, where x and y are positive integers, and N has 12 positive factors, what is the value of N?
(1) 9 is NOT a factor of N

(2)
125 is a factor of N

The product of (6,2) (4,3) give 12.

Hence the pair combinations of x and y can be (5,1)(11,0),(3,2) { x =5 and y=1 or x=1 and y=5)

Hence N = 3

^{x }x 5^{y}^{}

As per statement 1. If 9 is not a factor of N. It means the values of x and y should be (1,5)

sufficient.

As per statement 2. if 125 is a factor of N, it means the values of x and y can be any combination.

Hence A

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