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# Is the positive integer x a prime number?

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Intern
Joined: 19 Dec 2009
Posts: 41
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Kudos [?]: 75 [1] , given: 52

Is the positive integer x a prime number? [#permalink]

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12 Jan 2010, 05:53
1
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Difficulty:

5% (low)

Question Stats:

76% (01:30) correct 24% (00:21) wrong based on 70 sessions

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Is the positive integer x a prime number?

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

[Reveal] Spoiler:
Stm (1) alone can not be true. Stm (2) alone also can not be true. Also, both stms together can NOT be true because x can be 4,6,8,10,12,14,...,18 which all of these amounts are NOT prime to satisfy the main question, so (E) would be correct answer.
Amir
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 Jul 2015, 14:36, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
Manager
Joined: 13 Oct 2009
Posts: 116
Location: USA
Schools: IU KSB
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Kudos [?]: 88 [0], given: 66

Re: Is the positive integer x a prime number? [#permalink]

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12 Jan 2010, 06:02
amirdubai1982 wrote:
Is the positive integer x a prime number?

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

Stm (1) alone can not be true. Stm (2) alone also can not be true. Also, both stms together can NOT be true because x can be 4,6,8,10,12,14,...,18 which all of these amounts are NOT prime to satisfy the main question, so (E) would be correct answer.
Amir

Its Yes/No question type.

So question stem says Is X prime or not?

Together statement 1 & 2

X could be 4,6,8,10,12,14,...,18 and neither of them is Prime so the answer is NO, X is not prime.

What is OA?
Manager
Joined: 06 Jan 2010
Posts: 72
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Kudos [?]: 13 [0], given: 15

Re: Is the positive integer x a prime number? [#permalink]

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12 Jan 2010, 12:31

statement 1
x is even

2 is the only even prime no; but x may be any even no; so insufficient

statement 2

2<x<19
there is no prime no b.w 2 and 19;
so x cannot be a prime no
so sufficient

what's OA
VP
Joined: 05 Mar 2008
Posts: 1469
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Kudos [?]: 277 [0], given: 31

Re: Is the positive integer x a prime number? [#permalink]

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12 Jan 2010, 13:00
janani wrote:

statement 1
x is even

2 is the only even prime no; but x may be any even no; so insufficient

statement 2

2<x<19
there is no prime no b.w 2 and 19;
so x cannot be a prime no
so sufficient

what's OA

3, 5, 7, 11, 13, 17 are prime
Manager
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Kudos [?]: 13 [0], given: 15

Re: Is the positive integer x a prime number? [#permalink]

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12 Jan 2010, 13:08
@ lagomez

you're right

I combined statements in my reasoning that there
s no even prime no b/w 3 and 19
but chose B

should've chosen C
thx for pointing it out
VP
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Posts: 1469
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Kudos [?]: 277 [0], given: 31

Re: Is the positive integer x a prime number? [#permalink]

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12 Jan 2010, 13:09
janani wrote:
@ lagomez

you're right

I combined statements in my reasoning that there
s no even prime no b/w 3 and 19
but chose B

should've chosen C
thx for pointing it out

figured that's what happened, I do that all the time.
Intern
Joined: 09 Dec 2009
Posts: 11
Schools: Temple University; Drexel University, Lassale University, Holy Family
WE 1: Teaching
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Re: Is the positive integer x a prime number? [#permalink]

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20 Jan 2010, 12:22
the soln is C.
1) x is even,
this gives a vrey broad range of numbers out of which only 2 is prime, but there is no info on value of x, so its insufficient.
2) 2<x<19even this range has many values and out of which many are prim numbers e.g.3,5,7,11,13,17. so even thats insufficient.
but we take both the statements together ; from 1st we know x is even ,
and 2 is the only even prime number, but @nd gives us the range of x not including 2.
so they both together give us a answer.
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Re: Is the positive integer x a prime number? [#permalink]

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27 Jul 2015, 14:37
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is the positive integer x a prime number?   [#permalink] 27 Jul 2015, 14:37
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