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# Is the positive integer n an odd integer? (1) n+4 is a prime

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Is the positive integer n an odd integer? (1) n+4 is a prime [#permalink]  10 Mar 2008, 22:15
Is the positive integer n an odd integer?
(1) n+4 is a prime number.
(2) n+3 is not a prime number.
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Re: gmatprep integers and prime n [#permalink]  11 Mar 2008, 00:55
marcodonzelli wrote:
Is the positive integer n an odd integer?
(1) n+4 is a prime number.
(2) n+3 is not a prime number.

A

1. n + 4 >4 and n + 4 is a prime number -> n+4 is odd --> n odd: sufficient

2. n+3 > 3 and n + 3 is NOT a prime, n+ 3 = 4 --> n odd; n+3 =5 --> n even: not sufficient
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Re: gmatprep integers and prime n [#permalink]  11 Mar 2008, 04:52
hi sondenso u are right but the correct solution here is
Even + Even=Even
Even + Odd=Odd
So if we have n+4 is prime then n should be odd because 4 is even.
n+3 can be odd or even depending on the value of n
so ans is A
Re: gmatprep integers and prime n   [#permalink] 11 Mar 2008, 04:52
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