Step-by-Step Logical Deduction

To solve this complex puzzle, we must first establish the family structure and then systematically assign the professions and colors to each of the six individuals based on the clues.

1. Establishing the Family Structure

By combining the clues about relationships, we can build the family tree:

• "Deepak is grandfather of Titu" and "Neeru is grand-daughter of Mohini" place Deepak and Mohini in the first generation as the grandparents. They form the first married couple.
• "Mohini is mother-in-law of Savita" means Savita is married to Mohini's son.
• "Rohan is a CA and has a wife" places him in the second generation as Mohini's son.
• Therefore, Rohan and Savita form the second married couple.
• Titu and Neeru are the grandchildren, making them the children of Rohan and Savita.

Family Tree:

• Generation 1: Deepak (Male) ↔ Mohini (Female)
• Generation 2: Rohan (Male) ↔ Savita (Female)
• Generation 3: Titu (Male) and Neeru (Female)

2. Assigning the Professions

The six professions are CA, Doctor, Engineer, Teacher, Principal, and Housewife (implied from the options).

1. Rohan is a CA (given).
2. Titu is a Principal (given).
3. The clue "Engineer likes red colour and his wife is a teacher" indicates the Engineer (male) and Teacher (female) are a married couple. The only couple that can fit this is Deepak and Mohini, since Rohan is a CA. Therefore, Deepak is the Engineer and Mohini is the Teacher.
4. The remaining people are Savita and Neeru. The remaining professions are Doctor and Housewife.
5. The clue "Rohan is a CA and his wife neither is a doctor..." tells us that Rohan's wife, Savita, is not a Doctor.
6. Since Savita is not the Doctor, she must have the only other available profession. Therefore, Savita is a Housewife.
7. This leaves the final profession, Doctor, for Neeru.

Conclusion

Based on the logical deduction, Savita's profession is Housewife.