gmattester wrote:Can someone explain me why answer is B

m has only 2 prime factors i.e t and p

This means it has 2 prime factors apart from other factors.

e.g. 6 has two prime factors 2,3 apart from 1 and 6.

is m a multiple of p^2t ?

Statement I

m in total has 9 factors. m could be anything. Therefore insufficient.

Statement II

m is a multiple of p^3.

if m is a multiple of p^3, m will also be a multiple of p^2t.

this can be explained with following example:

m be 1000

p=10
p^2 = 100
P^3 = 1000

1000 is a multiple of p^3. m*1=1000
1000 is a multiple of p^2. m*10= 1000

t could be anything
let t=2

p^3t = 2000, 2000*.5= 1000 i.e. m
p^2t= 200, 200*5=1000 i.e m

Therefore sufficient.

Hence B is the answer.

Hope this helps.