Correct Option (3)
The relationships and professions can be deduced systematically:
- "A, the engineer, is married to the lady stenographer." This establishes A as male and an engineer, married to a female stenographer.
- "F, the draughtsman, is the son of B and brother of E." This indicates F is male and a draughtsman, and B is a parent to both F and E.
- "D is the grandmother of F." Since F is B's son, D must be B's mother.
- "C, the lawyer, is the daughter-in-law of D." As D is B's mother, C must be married to B. Therefore, C is female and a lawyer, and B is male.
- "The judge is married to the lawyer." Since C is the lawyer, B must be the judge. Thus, B (Judge, Male) and C (Lawyer, Female) form one married couple.
- "E is the unmarried doctor." E is a doctor and is unmarried.
- With B and C identified, the remaining members are A, D, E, F. The remaining professions are Engineer, Stenographer, Doctor, Draughtsman. We know A is Engineer, F is Draughtsman, and E is Doctor. This leaves D as the Stenographer.
- From the first statement, "A, the engineer, is married to the lady stenographer." This confirms A (Engineer, Male) is married to D (Stenographer, Female). Thus, A and D form the second married couple.
- The problem states there are two married couples, which are identified as (A, D) and (B, C).
Therefore, both AD and BC are couples.
Incorrect Options:
- Option 1 (AD only): This is incorrect because BC is also established as a married couple based on the given information.
- Option 2 (BC only): This is incorrect because AD is also established as a married couple based on the given information.
- Option 4 (Both AC and BD): This is incorrect. A is married to D, not C. B is married to C, not D. Therefore, AC and BD are not couples.