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If p is a positive integer, is integer k prime?

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If p is a positive integer, is integer k prime?  [#permalink]

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New post 06 Dec 2016, 07:21
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A
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D
E

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  35% (medium)

Question Stats:

72% (01:20) correct 28% (01:46) wrong based on 162 sessions

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Re: If p is a positive integer, is integer k prime?  [#permalink]

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New post 06 Dec 2016, 08:20
Bunuel wrote:
If p is a positive integer, is integer k prime?

(1) 3p + 3 = k
(2) 7! + 3 = k


(1) \(k=3(p+1)\). Hence \(k\) is divisible by 3 and \(p+1 \implies k\) is not a prime. Sufficient.

(2) We have the specific value of \(k\), doesn't matter what value of \(k\) is. Sufficient.

In fact, \(k=7!+3\) is divisible by 3 so \(k\) is not a prime.

The answer is D.
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Re: If p is a positive integer, is integer k prime?  [#permalink]

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New post 06 Dec 2016, 11:29
Bunuel wrote:
If p is a positive integer, is integer k prime?

(1) 3p + 3 = k
(2) 7! + 3 = k


FROM STATEMENT - I ( SUFFICIENT )

3p + 3 = k

Or, 3 ( p + 1 ) = k

So, k is divisible by 3 ; hence k can not be a prime number...


FROM STATEMENT - II ( SUFFICIENT )

7! + 3 = k

Or, 7*6*5*4*3*2*1 + 3 = k

Or, 3 ( 7*6*5*4*2*1 + 1 ) = k

So, k is divisible by 3 ; hence k can not be a prime number...

Thus, EACH statement ALONE is sufficient to answer the question asked, aswer will be (D)

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Re: If p is a positive integer, is integer k prime?  [#permalink]

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New post 01 Feb 2018, 06:36
Hi all,
statement 1
If p=0, then k=3 -> so K prime! Am I missing something?
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Re: If p is a positive integer, is integer k prime?  [#permalink]

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New post 01 Feb 2018, 09:02
hyppo0 wrote:
Hi all,
statement 1
If p=0, then k=3 -> so K prime! Am I missing something?


Hi

Its given that p is a positive integer, so we cannot take the case where p=0.
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Re: If p is a positive integer, is integer k prime?  [#permalink]

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New post 27 Jun 2019, 06:40
I thought zero is both positive and negative.
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Re: If p is a positive integer, is integer k prime?  [#permalink]

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New post 27 Jun 2019, 07:04
Bunuel wrote:
If p is a positive integer, is integer k prime?

(1) 3p + 3 = k
(2) 7! + 3 = k


#1 k= 3(P+1), so k can't be prime as it's definitely divided by 3.

#2 k= 3(1+x), where x>0 and Integer, so again k can't be prime as it's definitely divided by 3..

D Each statement independently sufficient.




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Re: If p is a positive integer, is integer k prime?  [#permalink]

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New post 27 Jun 2019, 07:04
rashwiniyer wrote:
I thought zero is both positive and negative.

rashwiniyer

zero is neither +ve nor -ve.




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Re: If p is a positive integer, is integer k prime?  [#permalink]

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New post 18 Jul 2019, 15:52
Abhishek009 wrote:
Bunuel wrote:
If p is a positive integer, is integer k prime?

(1) 3p + 3 = k
(2) 7! + 3 = k


FROM STATEMENT - I ( SUFFICIENT )

3p + 3 = k

Or, 3 ( p + 1 ) = k

So, k is divisible by 3 ; hence k can not be a prime number...


FROM STATEMENT - II ( SUFFICIENT )

7! + 3 = k

Or, 7*6*5*4*3*2*1 + 3 = k

Or, 3 ( 7*6*5*4*2*1 + 1 ) = k

So, k is divisible by 3 ; hence k can not be a prime number...

Thus, EACH statement ALONE is sufficient to answer the question asked, aswer will be (D)


For statement 1, stating that if it is divisible by 3, then it is not prime I believe it is wrong: 3 is prime and is divisible by 3. The correct statement would be that for every value of x, the result won't be prime.
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Re: If p is a positive integer, is integer k prime?   [#permalink] 18 Jul 2019, 15:52
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