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

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Senior Manager
Joined: 25 Dec 2003
Posts: 359
Location: India
if n and p are different positive prime numbers, which of [#permalink]

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08 Jul 2004, 00:09
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

Thanks
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Director
Joined: 05 Jul 2004
Posts: 894

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08 Jul 2004, 03:19
(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)
Senior Manager
Joined: 25 Dec 2003
Posts: 359
Location: India

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08 Jul 2004, 18:53
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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Director
Joined: 05 Jul 2004
Posts: 894

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09 Jul 2004, 06:31
OOPS!
By mistake I typed D rather than E.
Manager
Joined: 21 Jun 2004
Posts: 52

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18 Jul 2004, 21:49
Cool question.

Think outside the box
Manager
Joined: 08 Jun 2004
Posts: 245
Location: INDIA

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19 Jul 2004, 10:01
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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Manager
Joined: 19 Jul 2004
Posts: 75

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22 Jul 2004, 10:56
i got E after 3 mins......

cool one
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22 Jul 2004, 10:56
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