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n and p..............Indices and Prime number.............

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Manager
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Joined: 02 Sep 2008
Posts: 103

Kudos [?]: 101 [0], given: 1

n and p..............Indices and Prime number............. [#permalink]

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New post 26 Apr 2009, 14:12
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If n and p are different positive prime numbers, which of the integers n^4,p^3 and np has (have) exactly 4 positive divisors?
(A) n^4 only
(B) p^3 only
(C) np only
(D) n^4 and np
(E) p^3 and np

Kudos [?]: 101 [0], given: 1

Manager
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Joined: 05 Jan 2009
Posts: 81

Kudos [?]: 154 [0], given: 2

Re: n and p..............Indices and Prime number............. [#permalink]

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New post 26 Apr 2009, 15:11
E.
p^3->(3+1)=4; np->(1+1)*(1*1)=4

Kudos [?]: 154 [0], given: 2

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Joined: 19 Aug 2006
Posts: 239

Kudos [?]: 13 [0], given: 0

Re: n and p..............Indices and Prime number............. [#permalink]

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New post 26 Apr 2009, 19:00
I got the same answer, E, by picking numbers.

Kudos [?]: 13 [0], given: 0

Re: n and p..............Indices and Prime number.............   [#permalink] 26 Apr 2009, 19:00
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n and p..............Indices and Prime number.............

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