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# if p, s, and t are positive prime numbers, what is the value

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Manager
Joined: 14 Jun 2008
Posts: 162

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if p, s, and t are positive prime numbers, what is the value [#permalink]

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10 Aug 2008, 01:25
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if p, s, and t are positive prime numbers, what is the value of p^3s^3t^3?
(1) p^3st=728
(2) t=13

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Director
Joined: 10 Sep 2007
Posts: 933

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10 Aug 2008, 01:34
(1) p^3st=728
728 = 2*364 = 2*2*182 = 2*2*2*91 = 2*2*2*7*13 = 2^3*7*13
=> p = 2, s = 7, t=13 or p = 2, s = 13, t=7
Note that in both cases above value of p^3s^3t^3 stays same so question is answered using this statement alone. So answer can be A or D.

(2) t=13. Does not tells us about p and s so not sufficient.

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VP
Joined: 17 Jun 2008
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10 Aug 2008, 04:20
sset009 wrote:
if p, s, and t are positive prime numbers, what is the value of p^3s^3t^3?
(1) p^3st=728
(2) t=13

given : p,s,t are prime positive numbers
question p^3s^3t^3=?

now (1)s*t* p^3 = 728=7*13*8=> p=2 and s t are 7 or 13
(pst )^3 can be known since all the values are known SUFFI

(2) t=13 does not give p and s value hence INSUFFI
IMO A
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SVP
Joined: 28 Dec 2005
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10 Aug 2008, 12:46
should be A, as already explained above

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Re: prime number DS   [#permalink] 10 Aug 2008, 12:46
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