Explanation:

Let's break down the given expression $P+S\times Q\times R-T\div V\div U$ and determine the relationships and genders: 1. $P+S$: 'A+B means A is brother of B'. So, P is the brother of S. This implies P is male. 2. $S\times Q$: 'A\times B means A is daughter of B'. So, S is the daughter of Q. This implies S is female and Q is a parent of S. Since P is S's brother, P is also a child of Q. 3. $Q\times R$: 'A\times B means A is daughter of B'. So, Q is the daughter of R. This implies Q is female and R is a parent of Q. 4. $R-T$: 'A-B means A is wife of B'. So, R is the wife of T. This implies R is female and T is male. Since R is a parent of Q, and T is R's husband, T is also a parent of Q. 5. $T\div V$: 'A\div B means A is father of B'. So, T is the father of V. This implies T is male and V is a child of T. This part of the expression describes T's descendants but does not change T's relationship to P. 6. $V\div U$: 'A\div B means A is father of B'. So, V is the father of U. This implies V is male and U is a child of V. This also describes T's descendants and is irrelevant to T's relationship to P. \nNow, let's trace the relationship from P to T: - P's parent is Q (from $P+S$ and $S\times Q$). - Q is female (from $Q\times R$). So, Q is P's mother. - Q's parents are R and T (from $Q\times R$ and $R-T$). - T is male (from $R-T$). So, T is Q's father. \nTherefore, T is the father of P's mother. This means T is P's maternal grandfather. \nAnalyzing the options: (1) Paternal grandmother: This is incorrect. T is male, not female, and T is on P's mother's side, not father's side. (2) Paternal grandfather: This is incorrect. T is on P's mother's side, not father's side. (3) Maternal grandmother: This is incorrect. T is male, not female. (4) Maternal grandfather: This is correct. T is male and is the father of P's mother. \nThe logically derived answer is Maternal grandfather. Please note that the provided answer key in the document indicates option (1) Paternal grandmother as correct, which contradicts this derivation. T is definitively male and on the maternal side.