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Is the positive integer x a prime number?

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Is the positive integer x a prime number? [#permalink] New post 12 Jan 2010, 04:53
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A
B
C
D
E

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Is the positive integer x a prime number?

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

[Reveal] Spoiler:
Soln. Could you please answer? I think (E) should be the answer of this because:
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.
Thanks for your help.
Amir
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 Jul 2015, 13:36, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: Is the positive integer x a prime number? [#permalink] New post 12 Jan 2010, 05:02
amirdubai1982 wrote:
Is the positive integer x a prime number?

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

Soln. Could you please answer? I think (E) should be the answer of this because:
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.
Thanks for your help.
Amir



Answer would be C.

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?
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Re: Is the positive integer x a prime number? [#permalink] New post 12 Jan 2010, 11:31
my answer is B

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
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Re: Is the positive integer x a prime number? [#permalink] New post 12 Jan 2010, 12:00
janani wrote:
my answer is B

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
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Re: Is the positive integer x a prime number? [#permalink] New post 12 Jan 2010, 12:08
@ 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
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Re: Is the positive integer x a prime number? [#permalink] New post 12 Jan 2010, 12:09
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.
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Re: Is the positive integer x a prime number? [#permalink] New post 20 Jan 2010, 11:22
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] New post 27 Jul 2015, 13:37
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Re: Is the positive integer x a prime number?   [#permalink] 27 Jul 2015, 13:37
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