NIT

You have to give entrance exam, and as per your obtained marks you will be provided college after going to counselling.

BITS is better than NIT for CSE because BITS is one of the most reputed colleges in India and having a position against IITs. Also, the infrastructure, teaching methodology, placements and overall development of students are upto the mark. But if you don't get BITS then you can go for any good NIT. Good luck.

Hi, score of 200-220 marks out of 390 would be needed.

Hi, score of 200-220 marks out of 390 marks in JEE Main Paper 2 will get you chance in NIT's.

To get admission in NIT colleges, you don't need to appear for SAT you need to appear for JEE Mains examination, check out the details below:
https://www.shiksha.com/b-tech/jee-main-exam.

For admission in NIT, candidate must appear for JEE Mains. Unless you appear for the entrance exam you won't get admission in National Institute of Technology. The eligibility criteria for entrance exam is 12th with PCM as the subjects.
Apart from IIT and NIT, most colleges in India offer lateral entry for diploma students. These colleges do reserve some seats for lateral entry students.Diploma holders are not allowed for JEE Main admissions but they are allowed for JEE Advanced. So they can write the JEE Main exam just to qualify for JEE Advanced.

Hello!
None of the NITs accept NMAT scores for their MBA programmes. http://www.nmat.org.in/test-takers/nmat-by-gmac-accepting-institutions/ Kindly visit this link to know about the B-schools accepting NMAT scores.

Hi!
You can refer https://www.shiksha.com/b-tech/articles/nits-admission-cut-offs-2016-opening-closing-ranks-part-1-blogId-12960.

Hi, Please find the link below:
https://www.shiksha.com/mba/cat-exam-cutoff.