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If p is a positive integer, what is the value of p? 1) p/4

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If p is a positive integer, what is the value of p? 1) p/4 [#permalink] New post 23 Sep 2007, 11:46
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If p is a positive integer, what is the value of p?

1) p/4 is a prime #.

2) p is divisible by 3.

OA to follow.
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 [#permalink] New post 23 Sep 2007, 14:33
C.

Statement I: insufficient.
P=4*(any prime number)

Statement II:insufficient
Numerous possibilities

Combined, P = 12
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Re: DS: Value of P? [#permalink] New post 23 Sep 2007, 15:59
jimmyjamesdonkey wrote:
If p is a positive integer, what is the value of p?

1) p/4 is a prime #.

2) p is divisible by 3.

OA to follow.


got C,

1st- insuff, can be any prime times 4
2nd-insuff, can be any prime (3) and non (6,9)

Both,

P/4= prime------------> P=prime*4
3N=P , where N is any intenger.

from both equations it follows

prime*4=3N------->3N/4=prime, where N must ne intenger, since this equation has only one possible value for N=4, there is only one possible value for P, cuz P=3N=3*4.
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 [#permalink] New post 23 Sep 2007, 20:27
St1:
p/4 = prime.
P could be 44, or P could be 20...etc. Insufficient.

St2:
p could be 3,6,9,12,15....etc. Insufficient.

Using st1 and st2:
p = 12. The other choices will not result in p/4 = prime.

Sufficient.

Ans C
  [#permalink] 23 Sep 2007, 20:27
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