Have given, Condition (1) ⇒ A $ B = A is the daughter of B. So P $ Q = P is the daughter of Q. So P is female. Condition (2) ⇒ A # B = A is brother of B. Therefore R # S = R is the brother of S. So R is male. Condition (3) ⇒ A * B = A is the father of B. So Q * R = Q is the father of R. So S and R’s father will be Q. So P is the sister of S.