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It is pretty easy Statement 1: Can be re-written as: n = K^3 + 1 + 3K(K+1) When this is Divided by K, we have n/K = K^2 + 3(K+1) + 1/K So remainder of n/K will be same as 1/K. As given K > 1, so 1/K will always have remainder 1.
This statements is sufficient so answer can be A or D.
Statement 2: K = 5 and nothing is told about n so this statement on its own is insufficient. So D is also gone.
Answer is A.
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