GPREP #8

[hardikrs]

If the prime numbers p and t are the only prime factors of the integer m, is a multiple of p^2t?

1. m has more than 9 positive factors

2. m is a multiple p^3

Please explain your answer.

Thanks,

[abhasjha]

Originally Posted by hardikrs

If the prime numbers p and t are the only prime factors of the integer m, is a multiple of p^2t?

1. m has more than 9 positive factors

2. m is a multiple p^3

Please explain your answer.

Thanks,

you have not transcribed the problem properly as much as i know ..... the correct question is m a multiple of p^2t.

if that's the correct question then the question can be rephrased into - does the prime box of m contain atleast 2 p and one t


Statement (1)

m has more than 9 positive factors

this does not say us any thing about p and t . m can have 100o factors but if its prime box does not contain atleast two P and 1 t then m can not be a fcator of p^2t . So (1) is insufficient .


Statement (2)

2. m is a multiple p^3

this means m prime box has 3 p's so fulfills the condition of 2 p and also in the question prompt it is written that p and t are the only prime factors of m . so m 's prime box contain 2 p and a 1 t ......

this statement is sufficient ........

IMO (B)