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

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Director
Joined: 22 Jun 2014
Posts: 896

Kudos [?]: 420 [0], given: 111

Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
If n is a positive integer, is n equal to 6? [#permalink]

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15 Jan 2017, 07:54
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Difficulty:

25% (medium)

Question Stats:

75% (00:44) correct 25% (00:46) wrong based on 48 sessions

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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
[Reveal] Spoiler: OA

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Kudos [?]: 420 [0], given: 111

Math Expert
Joined: 02 Sep 2009
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Re: If n is a positive integer, is n equal to 6? [#permalink]

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15 Jan 2017, 08:43
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.

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Senior Manager
Joined: 02 Jul 2017
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Re: If n is a positive integer, is n equal to 6? [#permalink]

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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

Kudos [?]: 59 [0], given: 59

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