Yes, solving previous years' papers of UPSC Management optional subject can help in improving your ability to think critically. Here's how:

1. Familiarity with Exam Pattern:
- Solving previous years' papers gives you an understanding of the exam pattern, the types of questions asked, and the level of difficulty.
- It helps you become familiar with the structure and format of the exam, allowing you to strategize your time and efforts accordingly.

2. Exposure to Different Topics:
- Previous years' papers cover a wide range of topics related to management.
- By solving these papers, you expose yourself to various concepts, theories, and case studies, which helps in broadening your knowledge base.
- It enhances your understanding of different management concepts and their practical applications.

3. Application of Concepts:
- Solving previous years' papers requires you to apply your knowledge to solve real-life management problems.
- It helps you develop analytical and critical thinking skills by analyzing the given information, identifying patterns, and formulating logical solutions.
- It encourages you to think from multiple perspectives and consider the implications of various management decisions.

4. Time Management:
- UPSC exams have strict time limits, and solving previous years' papers helps you practice time management skills.
- By solving papers within the given time frame, you learn to prioritize questions, allocate time to different sections, and improve your speed and accuracy.

5. Identifying Knowledge Gaps:
- Solving previous years' papers allows you to identify your strengths and weaknesses in different management topics.
- It helps you understand which areas require more focus and revision, enabling you to fill any knowledge gaps effectively.

6. Confidence Building:
- Regularly solving previous years' papers boosts your confidence as it familiarizes you with the exam format and helps you gauge your preparation level.
- It helps in reducing exam anxiety and enhances your performance on the actual exam day.

Conclusion:
Solving previous years' papers of UPSC Management optional subject is an effective strategy to improve critical thinking abilities. It not only exposes you to different topics but also helps in the application of management concepts, time management, and identifying knowledge gaps. Regular practice of these papers enhances your overall preparation level and boosts your confidence to perform well in the actual exam.