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Re: Multiple

by x2suresh » Mon Feb 23, 2009 8:24 am
billyr wrote:If n is a multiple of 5 and n=p^2*q, where p and q are prime numbers, which of the following must be multiple of 25?

a)p^2

b)q^2

c)p^2*q^2

d)pq

e)q^3

Thanks
n=p^2*q = 5k (p,q are prime numbers)
one of them must be 5. we don't know whether p=5 or q=5

p^2*q^2 --> ALWAYS MULTIPLE OF 25 (here it doesn't matter whether p=5 or q=5)

c
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by welcome » Mon Feb 23, 2009 12:29 pm
Say n=5k

as n=p^2 * q => 5K = p^2 * q (as p and q are prime, q should be 5, because k can not ve 5 otherwise 5K will make 5^2 but when you will make it equal to p^2 *q then q will be 1, which can not be 1 as a prime.)

so q^2 = 25 = > and B.
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by welcome » Mon Feb 23, 2009 6:12 pm
Can you please post the OA.
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