GPREP

[aj5105]

How many different prime numbers are factors of the positive integer n?
1). four different prime numbers are factors of 2n.
2). four different prime numbers are factors of n^2.

[sumiwali]

Answer B

Statement1 2n has 4 different prime factors.

2n could be 2*3*5*7(i.e. for n 3 diff prime factors) OR 2n could be 2*2*3*5*7(i.e. 4 different prime factors for 2n and 4 different prime factors for n)

Thus INSUFF

Statement 2

n^2 has 4 different prime factors i.e.(2*3*5*7)^2 thus n will always have 4 different prime factors.

thus SUFF
hence answer is B.