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If n is a multiple of 5 and n= p^2q ...

Expert replies
by qduong » Wed Jun 01, 2011 11:22 pm
If n is a multiple of 5 and n= p^2q , where p and q are prime numbers, which of the following must be a multiple of 25 ?

a. p^2
b. q^2
c. pq
d. p^2q^2
e. p^3q

Please explain. Thank you !
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Source: — Problem Solving |

by cans » Wed Jun 01, 2011 11:40 pm
I have a doubt.
Is it n=p^(2q) or n=p^2 * q??
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by smackmartine » Wed Jun 01, 2011 11:45 pm
IMO D

D is the only option in which we get "5" twice , making it a multiple of 25.
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by cans » Thu Jun 02, 2011 12:24 am
assuming its p^2 * q
either q=5 or p=5
a)p^2 - if q=5 then not valid
b)q^2 - if p=5, then not valid
c) pq - if p=5, then multiple of 5 and not 25
d) p^2*q^2 - if p=5, then multiple of 25. if q=5, then multiple of 25. valid
e) p^3*q - if q=5, then multiple of 5 and not 25.
IMO D
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by qduong » Thu Jun 02, 2011 12:44 am
cans wrote:I have a doubt.
Is it n=p^(2q) or n=p^2 * q??
it is n=p^2 * q

thank you for your reply !
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by [email protected] » Mon Jun 13, 2011 6:15 am
wonderful explanation cans!!!!
IT IS TIME TO BEAT THE GMAT

LEARNING, APPLICATION AND TIMING IS THE FACT OF GMAT AND LIFE AS WELL... KEEP PLAYING!!!

Whenever you feel that my post really helped you to learn something new, please press on the 'THANK' button.
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