The OA is B. But Option A is also correct I believe.
Does the integer k have a factor p such that 1 < p < k?
I. k > 4!
II. 13! + 2 <= k <= 13! + 13
I believe as per the question p can be a factor of an integer k. So as per the option A k can have many values between 1 and k which can be referred as p.
Statement I is not sufficient:
K can also be prime number, then you cant have p which is less than k.
K > 4!
So, K > 24
So, k can also 29, 31 prime numbers or it could be composite number too.
So not sufficient.
