JEE Main

Maybe. It depends on the cutoff list. There are chances for you to get Government Engineering colleges in Rajasthan. Try there. All the best. :-)

Yes is the only way for undergraduate admission.

Hello Vivek,
As the counselling for seat allotment has begun, I'm giving you the rank oriented answer. Your SC category rank should be below 4000 to get a good course at NIT Bhopal. You may refer the link below for closing and opening ranks:
http://josaa.nic.in/Result/result/OpeningClosingRank.aspx

Check the curriculum for BITSAT exam and match accordingly:
http://bitsadmission.com/bitsatmain.aspx check this link

You can appear for SAT Examination along with JEE provided you can prepare for both exams simultaneously.

My friend,
I don't think your marks and rank is in sync. Either rank or marks are wrong. try again after cross-checking and verifying.

It's different for different colleges.

Hi Sourav,
Please use the college predictor link given below:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

MIT Manipal conducts its own entrance examination for admission in BTech Aeronautical Engineering. It does not use JEE Mains score for admission in engineering degree courses.

Regarding board marks, for admission in any NIT, you should either be in top 20 percentile of your board or you should have at least 75% (for General or OBC) or 65% (For ST or ST) in 12th board exams. If you satisfies these conditions then you will surely get admission in any NIT through JOSAA.