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06 Dec 2016, 07:21
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
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71% (01:22) correct
29%
(01:39)
wrong
based on 185
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If p is a positive integer, is integer k prime?
(1) 3p + 3 = k
(2) 7! + 3 = k
(1) 3p + 3 = k
(2) 7! + 3 = k
06 Dec 2016, 08:20
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Bunuel
If p is a positive integer, is integer k prime?
(1) 3p + 3 = k
(2) 7! + 3 = k
(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.
06 Dec 2016, 11:29
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Bunuel
If p is a positive integer, is integer k prime?
(1) 3p + 3 = k
(2) 7! + 3 = k
(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)
