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# Is the positive integer x a prime number? (1) x is even (2) 2 < x < 19

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Math Expert
Joined: 02 Sep 2009
Posts: 49300
Is the positive integer x a prime number? (1) x is even (2) 2 < x < 19  [#permalink]

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12 Oct 2017, 04:16
00:00

Difficulty:

25% (medium)

Question Stats:

80% (00:21) correct 20% (00:35) wrong based on 41 sessions

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Is the positive integer x a prime number?

(1) x is even
(2) 2 < x < 19

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Intern
Joined: 29 Aug 2017
Posts: 35
Re: Is the positive integer x a prime number? (1) x is even (2) 2 < x < 19  [#permalink]

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12 Oct 2017, 04:34
Bunuel wrote:
Is the positive integer x a prime number?

(1) x is even
(2) 2 < x < 19

x > 0, is x a prime number?

Statement 1:
Insufficient as x could be 2 (prime) or any other even number (composite).

Statement 2:
Insufficient as there are more than 1 prime and composite numbers in that range.

Combining statements 1 and 2;
x is even and greater than 2, so x is not a prime number.

Re: Is the positive integer x a prime number? (1) x is even (2) 2 < x < 19 &nbs [#permalink] 12 Oct 2017, 04:34
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