Lets analyze the given relationships:
\( P \) is the brother of \( Q \) (from statement I).
\( R \) is the father of \( P \) (from statement II), which means \( R \) is also the father of \( Q \).
\( S \) is the brother of \( T \) (from statement III), meaning that \( S \) and \( T \) are siblings.
\( T \) is the daughter of \( Q \) (from statement IV), so \( T \) is Qs daughter.
Now, lets analyze the relationships:
\( P \) is the brother of \( Q \) (from statement I).
Since \( T \) is the daughter of \( Q \), \( P \) is the uncle of \( T \), and hence \( P \) is the uncle of \( S \) as well, because \( S \) and \( T \) are siblings.
Thus, the uncle of \( S \) is \( P \).