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A. Neither B nor C is the correct answer.
B. Neither C nor D is the correct answer.
C. Trust me, this is the correct answer.
D. Neither A nor B is the correct answer.

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Correct is

B

because

if B is correct,
C is necessarily false;
A is false because B is correct;
D is false because B is correct.

You can see that

A cannot be correct, as then C and D are false, making B correct also.
C cannot be correct, as then A and B are false, making D correct also.
D cannot be correct, as then B and C are false, making A correct also.

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