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Is the positive integer n an odd integer?

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Is the positive integer n an odd integer? [#permalink]

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Is the positive integer n an odd integer?

(1) n+4 is a prime number.
(2) n+3 is not a prime number.
[Reveal] Spoiler: OA

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Re: Is the positive integer n an odd integer? [#permalink]

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Is the positive integer n an odd integer?

(1) n+4 is a prime number --> since n is a positive integer then n+4 is at least 5, so n+4 equals to some odd prime (not 2) --> n+4=odd --> n=odd-even=odd. Sufficient.

(2) n+3 is not a prime number --> if n=1 then the answer is YES but if n=6 the answer is NO. Not sufficient.

Answer: A.
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Re: Is the positive integer n an odd integer? [#permalink]

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Statement 1: If n+4 is a prime number, then n must be odd because for n to be even, n+4 must be prime, and for no even integer greater than 2 can any even integer be prime. Sufficient.

Statement 2: If n+3 is not prime, then n may be odd or even (e.g. 9 or 12). Insufficient.

The answer is therefore (A).
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Re: Is the positive integer n an odd integer? [#permalink]

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New post 22 Aug 2016, 07:58
Here is what i did =>
we need to see whether or not integer n is odd .
Statement 1 => n+4 = prime and it must be a prime greater than 2 hence it must be odd as all the primes greater than 2 are odd
hence n+4=odd => n=odd=> sufficient
Statement 2 => n+3=20=> n=odd or n+3=15=> n=even => not suff

Smash that A
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Re: Is the positive integer n an odd integer? [#permalink]

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New post 27 Nov 2017, 02:57
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Re: Is the positive integer n an odd integer?   [#permalink] 27 Nov 2017, 02:57
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