The answer will be A, provided the question says that K>3. Otherwise the answer has to be C. Explanation follows.....
From I, n = 3k+3
Now the remainder when 3k+3 is divided by k is equal to the remainder when 3 is divided by k, since 3k is divisible by k.
So, we need to find the remainder when 3 is divided by k which definitely depends upon the value of k.
Just K>1 is not sufficient...if k=2 the remainder will be 3 and if k=3 the remainder will be 0 and for any value of k greater than 3, the remainder will be 3.
So I alone is not sufficient.
Clearly II alone is also not sufficient.
Combining both I and II, we can conclude the remainder is 3.
So, the answer has to be C.
The answer will be A, provided, the question says that K>3.
Second Question:From Statement I, it is clear that j and k are consecutive positive integers.
Their GCF must be 1.
So A is the answer.