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gmattester
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m has only 2 prime factors i.e t and pgmattester wrote:Can someone explain me why answer is B
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.