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If n is a positive integer, is n equal to 6?

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If n is a positive integer, is n equal to 6? [#permalink] New post   15 Jan 2017, 07:54
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If n is a positive integer, is n equal to 6?

(1) \(n^2\) + 1 is a prime number.

(2) n > 2
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E
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Bunuel
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Re: If n is a positive integer, is n equal to 6? [#permalink] New post   15 Jan 2017, 08:43
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If n is a positive integer, is n equal to 6?

(1) \(n^2\) + 1 is a prime number --> n can be 6 because 6^2 + 1 = 37 = prime but n can also be 4, because 4^2 + 1 = 17 = prime. Not sufficient.

(2) n > 2. Not sufficient.

(1)+(2) We can use the example from (1) again. Not sufficient.

Answer: E.
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Re: If n is a positive integer, is n equal to 6? [#permalink] New post   07 Sep 2017, 01:24
n is a positive integer, n= 6?

(1) n^2 + 1 is a prime number.
n=1 => 2 prime
n=2 =>5 prime
n=4 => 17 prime
n=6 => 37 prime
Not sufficient

(2) n > 2
Not sufficient .. n can be anything >2

1+2
if n> 2.. by 1 we can clearly see that we know 2 values of n=> 4 or 6
So not sufficient

Answer: E
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Re: If n is a positive integer, is n equal to 6? [#permalink]
07 Sep 2017, 01:24
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Bunuel
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