The correct answer is D. Cannot be determined.
A is the brother of B. This means that A and B have the same parents. B is the sister of C. This means that B and C have the same parents. C is the father of D. This means that C and D have a parent-child relationship. However, we do not know if A and D have any relationship. It is possible that A and D are siblings, but it is also possible that they are not related at all.
Here are some possible scenarios:
- A and D are siblings. This would be the case if A and B are both children of C.
- A and D are half-siblings. This would be the case if A is a child of C and B, and D is a child of C and another woman.
- A and D are cousins. This would be the case if A is a child of C and B, and D is a child of C’s brother or sister.
- A and D are not related at all. This would be the case if A and B are not related to C, or if C is not D’s father.
Since we do not have enough information to determine the relationship between A and D, the correct answer is D. Cannot be determined.