Definitions Analysis

The problem defines a code language for family relationships. Understanding these definitions is key to solving the puzzle:

Expression Breakdown

We need to decode the expression P ÷ Q + R - S x T to find the relationship between P and T. Let's break it down step-by-step:

• Step 1: P ÷ Q
  This means P is the father of Q.
• Step 2: Q + R
  This means Q is the mother of R. Combining with Step 1, P is the father of Q, and Q is the mother of R. Therefore, P is the maternal grandfather of R.
• Step 3: R - S
  This means R is the brother of S. Since Q is the mother of R, she must also be the mother of R's sister, S. As P is the father of Q, P remains the maternal grandfather of S.
• Step 4: S x T
  This means S is the wife of T. Consequently, T is the husband of S.

Family Connection Establishment

Let's synthesize the information derived from the expression to establish the family connection:

• From S x T, we know that S is the wife of T.
• From the previous steps (Q + R and R - S), we established that Q is the mother of S.
• From P ÷ Q, we know that P is the father of Q.
• Putting it all together: P is the father of Q, and Q is the mother of S. Since S is the wife of T, P is the father of T's wife's mother.

Relation Determination

The question asks for the relationship of P to T. Our analysis shows that P is the father of T's wife's mother. This means P is the maternal grandfather of T's wife.

Now, let's check the given options:

• Option 1: Wife's mother's father.
  • T's wife is S.
  • T's wife's mother is Q.
  • T's wife's mother's father is P.
  This description accurately identifies P in relation to T.

Therefore, P is related to T as the 'Wife's mother's father'.