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# Is the postive integer n an odd number (1) n + 4 is a prime

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Senior Manager
Joined: 29 Jan 2011
Posts: 364
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Kudos [?]: 213 [0], given: 87

Is the postive integer n an odd number (1) n + 4 is a prime [#permalink]

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23 Jul 2011, 22:07
00:00

Difficulty:

25% (medium)

Question Stats:

78% (02:15) correct 22% (00:50) wrong based on 23 sessions

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Is the postive integer n an odd number

(1) n + 4 is a prime number

(2) n + 3 is not a prime number
[Reveal] Spoiler: OA
Manager
Joined: 28 May 2011
Posts: 193
Location: United States
GMAT 1: 720 Q49 V38
GPA: 3.6
WE: Project Management (Computer Software)
Followers: 2

Kudos [?]: 65 [0], given: 7

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23 Jul 2011, 22:16
siddhans wrote:
Is the postive integer n an odd number

(1) n + 4 is a prime number

(2) n + 3 is not a prime number

It seems 'A' is the correct one.

taking (1),

n + 4 is a prime number
==> n must be an odd number (there is no even number, except 2, is also the prime number)

taking (2)
n + 3 is not a prime number ==> n can be even number (ex. 16) or an odd number (ex. 14)

So (1) alone is suffiicient to answer the question, while (2) alone is not
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23 Jul 2011, 22:19
1
KUDOS
siddhans wrote:
Is the postive integer n an odd number

(1) n + 4 is a prime number

(2) n + 3 is not a prime number

n>0

1)
n+4=prime
All prime but 2 are odd and n+4 can't be 2.
odd+even=odd
Thus, n=odd
Sufficient.

2)
n+3 Not prime
n=6; n+3=9. Not prime. n=even
n=7; n+3=10. Not prime. n=odd
Not Sufficient.

Ans: "A"
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Re: prime number?   [#permalink] 23 Jul 2011, 22:19
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