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Sri Jayachamarajendra College of Engineering (SJCE) is located in Mysuru, Karnataka, India, and not in Pune. It is affiliated with Visvesvaraya Technological University (VTU), and it does not offer a Bachelor of Computer Applications BCA programme. If you are looking to pursue a lateral entry admission to a BCA programme in Pune, there are several colleges that offer this option. Some of them are:
Symbiosis Institute of Computer Studies and Research (SICSR)
Indira Institute of Management, Pune (IIMP)
Pune Institute of Computer Technology (PICT)
Modern College of Arts, Science and Commerce, Pune
Sinhgad College of Science, Pune
I suggest that you check with the specific colleges for their admission criteria and eligibility requirements for lateral entry admission to the BCA programme.

Solving numerical problems quickly and efficiently requires a combination of practice, familiarity with concepts, and strategic approaches. Here are some tips to help you solve numericals more quickly and effectively for the NEET exam:
1. Understand the Concepts: Make sure you have a strong understanding of the underlying concepts related to the numerical problem. Spend time reviewing the fundamental principles and equations relevant to the topic.
2. Practice Regularly: Regular practice is key to improving your problem-solving speed. Solve a variety of numerical problems from different topics and difficulty levels. This will help you develop problem-solving strategies and increase your speed over time.
3. Learn Shortcut Techniques: Look for shortcut techniques, formulas, and tricks that can help you solve certain types of numerical problems more quickly. For example, memorizing commonly used mathematical identities or learning to quickly estimate calculations can save you time during the exam.
4. Break Down the Problem: Read the problem carefully and break it down into smaller, manageable steps. Identify the given information, what you need to find, and the approach or formula you can apply to solve it. This helps you avoid mistakes and solve the problem more efficiently.
5. Focus on Important Information: Identify the key information in the problem that is necessary to solve it. Avoid getting distracted by irrelevant details, as they can consume your time and confuse you. Stay focused on the essential elements needed to solve the problem.
6. Use Approximations: In some cases, you can make reasonable approximations to simplify calculations and save time. This technique can be particularly useful when dealing with large numbers or complex equations. However, be cautious and ensure that your approximation does not compromise the accuracy of the final answer.
7. Manage Time Effectively: During the exam, allocate time to each question based on its difficulty. If you encounter a particularly challenging problem, it might be better to move on and return to it later if time allows. Avoid spending excessive time on a single problem and maintain a steady pace throughout the exam.
8. Review and Learn from Mistakes: After solving numerical problems, review your answers and identify any mistakes or areas where you can improve. Understand the errors you made and learn from them to avoid repeating them in future practice sessions or exams.
Remember, developing speed and accuracy in solving numerical problems takes time and practice. Regularly practicing numericals, understanding the concepts, and implementing efficient problem-solving strategies will help you become more proficient over time.

That being said, SJCE has a well-established infrastructure and facilities for its students. The campus is spread across a vast area and has a variety of academic buildings, laboratories, a library, auditoriums, and sports facilities. The college has well-equipped laboratories for all engineering departments, including computer Science, electronics and communication, mechanical, civil, electrical, and information Science. Additionally, the college has a central library with a vast collection of books, journals, and research papers. The library also provides access to digital resources and online databases. The college has several auditoriums and conference rooms for seminars, workshops, and cultural events. The campus also has sports facilities, including a gymnasium, tennis courts, basketball courts, football fields, and a swimming pool.