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# Source : OG 10 Q32. Is the prime number p=37 ? (1) p=n +1,

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VP
Joined: 30 Jun 2008
Posts: 1004
Source : OG 10 Q32. Is the prime number p=37 ? (1) p=n +1,  [#permalink]

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17 Oct 2008, 08:03
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Source : OG 10

Q32. Is the prime number p=37 ?

(1) p=n²+1, where n is an integer
(2) p² > 200

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Manager
Joined: 14 Jan 2006
Posts: 88
Schools: HKUST
Re: DS : Number Property  [#permalink]

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17 Oct 2008, 08:49
amitdgr wrote:
Source : OG 10

Q32. Is the prime number p=37 ?

(1) p=n²+1, where n is an integer
(2) p² > 200

1) if n = 2, p = 5
if n = 4, p = 17
if n = 6, p = 37
Insuff...

2.) p can be anything 17, 37, 41, 43, etc.
Insuff...

Combined,
p can be 17 or 37

Therefore, E.
VP
Joined: 17 Jun 2008
Posts: 1279
Re: DS : Number Property  [#permalink]

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19 Oct 2008, 05:58
amitdgr wrote:
Source : OG 10

Q32. Is the prime number p=37 ?

(1) p=n²+1, where n is an integer
(2) p² > 200

1) is generic rule applicable to many prime numbers !!! 2,5,17,37 etc
2)p^2>20 is applied to most ,17,37,etc

1) and 2) 17,37 both obey which to select ambiguity !!IMO E
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Joined: 21 Apr 2008
Posts: 456
Schools: Kellogg, MIT, Michigan, Berkeley, Marshall, Mellon
Re: DS : Number Property  [#permalink]

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19 Oct 2008, 11:37
Hi guys,

IMO: E

it's given that p is a prime number

1 n=1 is valid. n=2 is valid. n=6 is valid. Therefore, not suff.

2 there are several prime number which square is greater than 200. Not suff.

1+2
n=4 -> p=17 -> p^2>200
n=6 -> p=37 -> p^2>200

Not suff.

E

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Re: DS : Number Property &nbs [#permalink] 19 Oct 2008, 11:37
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