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

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Director
Joined: 01 May 2007
Posts: 798
Followers: 1

Kudos [?]: 45 [0], given: 0

If p is a positive integer, what is the value of p? 1) p/4 [#permalink]  23 Sep 2007, 10:46
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5% (low)

Question Stats:

100% (01:27) correct 0% (00:00) wrong based on 4 sessions
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.
Manager
Joined: 29 Jul 2007
Posts: 184
Followers: 1

Kudos [?]: 9 [0], given: 0

C.

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

Statement II:insufficient
Numerous possibilities

Combined, P = 12
Director
Joined: 22 Aug 2007
Posts: 573
Followers: 1

Kudos [?]: 7 [0], given: 0

Re: DS: Value of P? [#permalink]  23 Sep 2007, 14:59
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.
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5099
Location: Singapore
Followers: 15

Kudos [?]: 116 [0], given: 0

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
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