Showing towards a man, a lady said, "His mother is the only one daughter of my mother." How is the woman linked to the man?

Showing towards Volvo, Mini said, "I am the only and one son of the sons of his father." How is Volvo associated to Mini?

If A $ W means P is the brother of W; A # W means A is the mother of W; A * W means A is the daughter of W in A # B $ M * D, who is the father?