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A is the brother of B. B is the brother of C. D is the father of A. Based on these three statements, which of the following statements cannot be definitely true?B is the brother of A. B is the son of D. A is the brother of C.C is the brother of A.

Question

A is the brother of B. B is the brother of C. D is the father of A. Based on these three statements, which of the following statements cannot be definitely true?B is the brother of A. B is the son of D. A is the brother of C.C is the brother of A.

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Solution

The statement that cannot be definitely true is "C is the brother of A." While A is definitely the brother of C (as stated in the original statements), we don't have enough information to definitively say that C is the brother of A, because we don't know C's gender. C could be a sister to A.

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