Correct option is C
Q. A, B, C and D are four person of a family. How is C related to A?

(I) A is B's father's nephew, and C is B's cousin but not the brother of A.
From the given information blood relation tree will be.

From (I) C is cousin of A.
(II) C is B's father's nephew, and D is B's cousin but not the brother of A.

From this we cannot find that C is cousin of A.
So, Data in Statement I alone is sufficient to answer the question while data in statement II is not.
Thus, correct option is (c).