In a small town lived a close-knit family where every relation could be expressed through simple symbols. For instance, when they said \( A \times B \), it meant \( A \) is the father of \( B \), while \( A \div B \) meant \( A \) is the mother of \( B \). The younger ones were often introduced with \( A + B \), meaning \( A \) was the daughter of \( B \), and the bond of brotherhood was shown by \( A - B \) (A is brother of B).
One day, the children in the family turned these symbols into a playful code. Instead of introducing their parents and siblings in words, they spoke only in symbols. “Look,” giggled little Meena, “\( M + N \div O \)!” Everyone laughed, because they knew it meant Meena was the daughter of \( N \), and \( N \) was the mother of \( O \), making her \( O \)’s sister. What started as a code soon became a family game, making the bonds of father, mother, daughter, and brother not just relations, but symbols of love and togetherness. (165 words)
Consider the relationships among P, Q, R, S, and T:
• P is the brother of Q.
• S is the daughter of Q.
• T is the sister of S.
• R is the mother of Q.
The following statements are made based on the relationships given above.
(1) R is the grandmother of S.
(2) P is the uncle of S and T.
(3) R has only one son.
(4) Q has only one daughter.
Which one of the following options is correct?