Let's break down the expression P + Q ÷ R − T X M step by step, based on the given relationships:
· P + Q means P is the son of Q.
· Q ÷ R means Q is the mother of R.
· R − T means R is the wife of T.
· T X M means T is the brother of M.
Now, let's build the relationships:
1) P is the son of Q (P + Q).
2) Q is the mother of R (Q ÷ R), so R is the child of Q.
3) R is the wife of T (R − T), so T is the husband of R.
4) T is the brother of M (T X M), so M is the sibling of T.
From this, we can deduce the following family structure:
· P is the son of Q.
· Q is the mother of R, and R is married to T.
· T is the brother of M.
Now, let's look at the options:
1) M is the sister of T - This is false because gender of M is not known.
2) P is the brother of R - This is true because P is the son of Q, and R is the child of Q ,so P is the brother of R.
3) Q is the mother of M - This is false because Q is the mother of P and R, not M.
4) T is the brother of P - This is false because T is brother of M.
Thus, the correct answer is Option (b): P is the brother of R.