Let's decode the given expression: P − Q + R ÷ S X T based on the rules provided.
Step 1: Break down the expression:
The rules are as follows:
· A + B means "A is the wife of B".
· A − B means "A is the son of B".
· A X B means "A is the husband of B".
· A ÷ B means "A is the father of B".
Now, let's break down P − Q + R ÷ S X T step by step.
1) P − Q means P is the son of Q.
2) Q + R means Q is the wife of R.
3) R ÷ S means R is the father of S.
4) S X T means S is the husband of T.
Step 2: Put the relationships together:
· P is the son of Q.
· Q is the wife of R, so R is the husband of Q.
· R is the father of S.
· S is the husband of T, so T is the wife of S.
Step 3: Final relationship of P to T:
· P is the son of Q, and Q is the wife of R, so R is P's father.
· S is the husband of T, and R is the father of S, so R is T's father-in-law.
Thus, P is the son of T's father-in-law, which makes P the brother of the husband of T.
So option (c) is the correct answer.