Correct Option (1)
The family structure and professions can be deduced systematically:
- From the statements, we identify the following initial assignments:
- A is the Engineer (Male).
- F is the Draughtsman (Male).
- E is the Doctor (Unmarried).
- C is the Lawyer (Female).
- "F, the draughtsman is the son of B and brother of E." This indicates B is a parent to F and E.
- "D is the grandmother of F." This implies D is the parent of B.
- "C, the lawyer is the daughter in-law of D." Since B is D's son (as D is grandmother of F and B is parent of F), C must be married to B. This confirms B is Male.
- Now we have: D (Female) is the mother of B (Male). B (Male) is married to C (Lawyer, Female). B and C are parents of F (Draughtsman, Male) and E (Doctor, Unmarried).
- "A, the engineer is married to the lady stenographer." The only remaining female member whose profession is not yet assigned is D. Therefore, D is the Stenographer, and A (Engineer, Male) is married to D (Stenographer, Female). This establishes the elder couple.
- The professions assigned are Engineer (A), Stenographer (D), Lawyer (C), Draughtsman (F), and Doctor (E). The only remaining profession is Judge.
- The only remaining family member whose profession is not yet assigned is B. Therefore, B is the Judge.
- This deduction is consistent with "The judge is married to the lawyer" (B, the Judge, is married to C, the Lawyer) and "There are two married couples in the family" (A-D and B-C).
Thus, the profession of B is Judge.
Incorrect Options:
The other options are incorrect as the systematic deduction of family relationships and professions, based on all given clues, uniquely identifies B as the Judge. The roles of Lawyer, Draughtsman, or an undetermined profession for B contradict the established family structure and the assignment of other members' professions.