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# Is the integer n a prime number?

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Math Expert
Joined: 02 Sep 2009
Posts: 52284
Is the integer n a prime number?  [#permalink]

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12 Apr 2018, 23:47
00:00

Difficulty:

55% (hard)

Question Stats:

65% (01:26) correct 35% (01:17) wrong based on 38 sessions

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Is the integer n a prime number?

(1) n + 95 is odd.
(2) 2 < n < 12

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Manager
Joined: 17 Jan 2017
Posts: 61
Re: Is the integer n a prime number?  [#permalink]

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12 Apr 2018, 23:58
Bunuel wrote:
Is the integer n a prime number?

(1) n + 95 is odd.
(2) 2 < n < 12

(1) n=even
n=2 (=prime) n=4 (no prime)

(2)
n=3 (=prime) n=4 (no prime)

(1)+(2)
The only even prime is 2. 2 is not in the range of statement (2).
=> n is no prime

Director
Joined: 02 Oct 2017
Posts: 735
Re: Is the integer n a prime number?  [#permalink]

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27 Apr 2018, 09:05
I)n could be 2 here or 4
One is prime other is not
Insufficient

II) There are many prime nos between 2 and 12
Insufficient

Combining both
n=2,4,6,8,10 will satisfy both equations and in all these cases. One is prime

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Re: Is the integer n a prime number? &nbs [#permalink] 27 Apr 2018, 09:05
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