Yes, solving previous years' papers can significantly improve your ability to think analytically and critically. Here's how:

1. Enhancing Problem-solving Skills:
Solving previous years' papers exposes you to a wide range of questions and problems. This helps in developing your problem-solving skills as you analyze the given information, identify patterns, and apply logical reasoning to arrive at the correct solution. Regular practice with these papers will sharpen your ability to think analytically, critically evaluate options, and make informed decisions.

2. Familiarity with Exam Pattern and Question Types:
By solving previous years' papers, you become familiar with the exam pattern and the types of questions commonly asked. This familiarity allows you to strategize your preparation effectively, allocate time wisely, and focus on areas that need more attention. It also helps reduce anxiety during the actual exam, as you are prepared for the question format and know what to expect.

3. Identifying Strengths and Weaknesses:
Solving previous years' papers provides an opportunity to assess your strengths and weaknesses in different subjects or topics. By carefully reviewing your performance, you can identify areas where you need improvement and focus your efforts accordingly. This self-assessment helps in developing a targeted study plan, enabling you to strengthen your analytical and critical thinking skills in specific areas.

4. Time Management Skills:
One of the key aspects of solving previous years' papers is practicing time management. The papers are typically designed to be completed within a specific timeframe, simulating the actual exam conditions. By regularly practicing these papers, you can improve your ability to allocate time efficiently to different sections or questions, ensuring that you complete the exam within the given time limit.

5. Boosting Confidence:
When you solve previous years' papers and consistently improve your performance, it boosts your confidence levels. This confidence is crucial during the actual exam as it enables you to think critically and analytically without being overwhelmed by stress or time pressure. Increased confidence allows you to approach questions with a clear mindset, make accurate judgments, and arrive at the most appropriate solutions.

In conclusion, solving previous years' papers is an effective strategy to enhance your analytical and critical thinking skills. It helps in problem-solving, familiarizes you with the exam pattern, identifies your strengths and weaknesses, improves time management, and boosts confidence. Regular practice with these papers will undoubtedly contribute to your success in UPSC exams.