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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, 06:21
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (01:26) correct 29% (01:53) wrong based on 103 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, 07:20
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, 10:29
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, 05:36
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, 08:02
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? &nbs [#permalink] 01 Feb 2018, 08:02
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If p is a positive integer, is integer k prime?

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