Condition (1) ⇒ A * B = A is the father of B. So Y * Z = Y is Z’s father. Y is father.Condition (2) ⇒ A  B=A is the son of B. So X\$$ Y = X is the son of Y. X and Z is brother.Condition (3) ⇒ A # B = A is the sister of B. HenceZ # W. = Z is the sister of W. So X is the brother of W