India

Yes, he can get into a government college, but that student must have more percentage in 12th. Then only he will be able to get admission.

You can get admission to B.Tech on basis of your JEE rank. There is another government college IGDTUW Indira Gandhi Technical University for women, Kashmir Gate. One of my friend got 6000 rank in her JEE. She took admission in IGDUW B.Tech software engineering. There will be councilling session. You can try. In Delhi there is IIT also for admission to engineering where your JEE advance rank would be considered. You can look for private colleges also like Amity and Sharda university. All the best.

You should consider following link:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

You should use college predictor to know about the same:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Good luck.

You can check on college predictor
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
All the best.

Yes, you can easily get B.Sc seat any Degree College or University in Telangana and Andhra Pradesh, Your +2 Score is too good. You may fees concession also in some colleges, one thing you need to do is approach any college for admission as early as possible because it is already June. All the Best.