In a certain code language,
A + B means ‘A is the son of B’,
A − B means ‘A is the wife of B’,
A × B means ‘A is the brother of B’ and
A ÷ B means ‘A is the mother of B’.

Based on the above, if ‘P + Q ÷ R − T × M’, which of the following is true?

Question

In a certain code language,   
A + B means ‘A is the son of B’,     
A − B means ‘A is the wife of B’,   
A × B means ‘A is the brother of B’ and  
A ÷ B means ‘A is the mother of B’.

Based on the above, if ‘P + Q ÷ R − T × M’, which of the following is true?

Accepted Answer

#### **Given Expression:**  
P + Q ÷ R − T × M

Let's break it down from right to left (as per standard convention for such coded relations):

- **T × M:** T is the brother of M.
- **R − T × M:** R is the wife of T (who is the brother of M). So, R is T's wife, and T is M's brother.
- **Q ÷ R − T × M:** Q is the mother of R (who is the wife of T, and T is the brother of M).
- **P + Q ÷ R − T × M:** P is the son of Q (who is the mother of R).

#### **Family Tree Construction:**
- T and M are siblings (T is brother of M).
- R is the wife of T.
- Q is the mother of R (so Q is also the mother-in-law of T).
- P is the son of Q (so P is the brother of R).

#### **Which option is true?**
1. **M is the sister of T:** Not necessarily true (gender of M not given).
2. **P is the brother of R:** Yes, since both are children of Q.
3. **Q is the mother of M:** Not given directly; Q is mother of R, and P is child of Q, but M's relation to Q is not specified.
4. **T is the brother of P:** Not established; T is the brother of M and husband of R.

### **Conclusion:**
**Option 2: P is the brother of R** is correct.

Answer

Answer

Answer