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04 Nov 2020, 06:00
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B
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Difficulty:
15%
(low)
Question Stats:
85% (01:12) correct
15%
(01:14)
wrong
based on 84
sessions
History
Date
Time
Result
Not Attempted Yet
If k is a positive integer, is k a prime number?
(1) k is the sum of three consecutive prime numbers
(2) k has only 2 positive factors
(1) k is the sum of three consecutive prime numbers
(2) k has only 2 positive factors
04 Nov 2020, 19:38
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Bunuel
Question : Is k a prime number?
Constraint: k is a positive Integer.
Statement 1: k is the sum of three consecutive prime numbers
2 + 3 + 5 = 10, which is not a prime number.
11 + 13 + 17 = 41, which is a prime number.
Therefore Statement 1 Alone is Insufficient. Answer options could be B, C or E
Statement 2: k has only 2 positive factors
If k has only 2 positive factors, then they have to be 1 and k itself, which is the definition of a prime number. k is a prime number.
Therefore Statement 2 Alone is Sufficient.
Option B
Arun Kumar
05 Nov 2020, 11:23
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Bunuel
The OA right now is "C", which I think must be a mistake - Statement 2 is definitionally sufficient, and Statement 1 is not sufficient (5+7+11 is prime, 3+5+7 is not) so the answer should be B.
