India

There are several colleges in Tamil Nadu that offer Bachelor of Physiotherapy BPT courses and provide scholarships to meritorious and economically weaker students. Here are some of the colleges that offer BPT courses with scholarship in Tamil Nadu:
1. Dr. M. G. R. Educational and Research Institute - The college offers BPT courses and provides various scholarships to deserving students, including merit-based scholarships, sports scholarships, and scholarships for economically weaker sections.
2. Madras Medical College - The college offers BPT courses and provides scholarships to deserving students based on their academic performance and socio-economic background.
3. Sri Ramachandra Institute of Higher Education and Research - The college offers BPT courses and provides scholarships to meritorious and deserving students based on their academic performance and socio-economic background.
4. Saveetha Institute of Medical and Technical Sciences - The college offers BPT courses and provides scholarships to deserving students based on their academic performance and financial need.
5. VELS Institute of Science, Technology and Advanced Studies - The college offers BPT courses and provides scholarships to deserving students based on their academic performance and socio-economic background. It is important to note that the scholarship schemes and eligibility criteria may vary from college to college, and students are advised to check with the respective colleges for detailed information on scholarships and the admission process.

The fees for MBBS courses in India are relatively high, and it is not common for medical colleges to offer free MBBS admission to students. However, there are several scholarship schemes and financial assistance programs available for meritorious and economically weaker students. Also, the government of India and some state governments have introduced various schemes for students belonging to certain categories such as SC/ST/OBC and economically weaker sections of society. These schemes offer financial assistance in the form of scholarships, fee waivers, and subsidies. It is also worth noting that the admission process for MBBS courses in India is highly competitive, and the cut-off score for admission to government and private medical colleges varies each year depending on various factors such as the number of candidates appearing for the exam, the difficulty level of the exam, and the availability of seats. Therefore, I would advise you to keep an eye on the official NEET website for updates on the admission process and cut-off scores for this year. Additionally, you can also check with the state and central counseling authorities to know about the admission procedure and eligibility criteria for MBBS courses in government and private medical colleges.

Here's a list of government engineering colleges in Tamil Nadu:
1. Anna University, Chennai
2. Alagappa Chettiar College of Engineering and Technology, Karaikudi
3. Government College of Engineering, Bargur
4. Government College of Engineering, Salem
5. Government College of Technology, Coimbatore
6. Government Engineering College, Dharmapuri
7. Government Engineering College, Kanchipuram
8. Government Engineering College, Thanjavur
9. Government Engineering College, Tirunelveli
10. Institute of Road and Transport Technology, Erode
11. Thanthai Periyar Government Institute of Technology, Vellore
12. Thiruvalluvar Government Arts College, Rasipuram
13. University College of Engineering, Nagercoil
Please note that this list may not be exhaustive, and there may be additional government engineering colleges in Tamil Nadu that are not included here.

There are several colleges in Kerala that offer B.Tech in Computer Science and Business Systems, and some of them are autonomous. Here are a few of them:
1. College of Engineering, Trivandrum
2. Rajagiri School of Engineering and Technology, Kochi
3. TKM College of Engineering, Kollam
4. Government Engineering College, Thrissur
5. MS College of Engineering, Malappuram
6. Sree Chitra Thirunal College of Engineering, Thiruvananthapuram
7. LBS Institute of Technology for Women, Thiruvananthapuram
8. Mar Baselios Christian College of Engineering and Technology, Thiruvananthapuram
Please note that this is not an exhaustive list and there may be other colleges as well. It is recommended that you do your own research and check the official websites of these colleges for further details on their B.Tech in Computer Science and Business Systems programme, eligibility criteria, admission process, and fees.

The cutoff ranks for NITs change every year based on various factors like the difficulty level of the exam, the number of applicants, etc. Hence, it is difficult to predict with certainty whether you can get a seat in an NIT with your OBC NCL rank of 21790 and your home state of Uttar Pradesh. However, you can check the previous year's cutoff ranks for your category and home state to get an idea of your chances. You can also participate in JoSAA counseling and select your preferred NITs during the seat allotment process. If you do not get a seat in the initial rounds, you can wait for subsequent rounds or consider other options like state engineering colleges or private universities.