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if n and p are different positive prime numbers, which of

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Senior Manager
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if n and p are different positive prime numbers, which of [#permalink] New post 07 Jul 2004, 23:09
if n and p are different positive prime numbers, which of the integers (power 4 of n), (power 3 of p) and np has/have exactly 4 positive divisors?
a. (power 4 of n)
b. (power 3 of p)
c. np
d. np & (power 4 of n)
e. (power 3 of p) and np

Explaination, please
Thanks
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 [#permalink] New post 08 Jul 2004, 02:19
(D)

n^4 have 1, n, n^2, n^3, n^4 (Total 5)
p^3 have 1, p, p^2, p^3 (Total 4)
np have 1, n, p, np (Total 4)
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 [#permalink] New post 08 Jul 2004, 17:53
Thanks guys

E is the right answer. Good explaination JPV. You made a silly mistake by thaing the n^4 instead of n^3.

Thanks guys
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 [#permalink] New post 09 Jul 2004, 05:31
OOPS! :beat
By mistake I typed D rather than E.
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 [#permalink] New post 18 Jul 2004, 20:49
Cool question.

Think outside the box :arrow:
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 [#permalink] New post 19 Jul 2004, 09:01
ex with the help of numbers...

lets take the two prime numbers as 2 and 3 ....


2^3 = 6 and this has 4 factors...

2^4 =16 more than four...

3^4 many factors...

3^3 = 27 has only four...

and 2*3 = 6 has four...

hope that helps ! Have fun :)
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 [#permalink] New post 22 Jul 2004, 09:56
i got E after 3 mins......

cool one
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  [#permalink] 22 Jul 2004, 09:56
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