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For statement 1, if K > 1, k could be 2, 3, 4, 5, 6, 7, etc. With k being any of those numbers, when you put K, in the formula and you find n, you can have different remainders for n/k. Therefore not sufficient.

For statement 2, k is 5 we can't find n. Therefore not sufficient.

For both statements, if k is 5, you will get one answer for n. Therefore you can find the remainder for n/k.

Answer is A. The remanider is always 1. Reason being that (k+1)^3 = K^3+3k^2+2k+1. Hence k is common in all variable except 1. Hence 1 will always be the remainder.