IIT

GATE exam is the only way to get admission for MS in any of the IITs. But this paper is really very tough and it is not easy to make it to the IIT.

Chances of getting NIT is very low.
For IIT you have to fill the application form of IIT-JEE, and also you have to score good marks in the entrance exam.
Best regards.

Getting all this under this limited space is not possible and also there admission details at the same time is somewhat looks like impossible for anyone but then also I can tell you that in almost all the districts of UP and Rajasthan, you can find an engineering college and in all the colleges the admission process is same.

Except IIT and NIT, Top engineering college in Computer Science are :-
BITs (Birla Institute Of Technology )
BITs Pillai, BITs Goa etc. K. Wagh College Of Engineering.

Some top Engineering Colleges in India except NITs and IITs are as follows:
Number 1: BITS Pilani:
Number 2: Delhi Technological University:
Number 3: BITS Mesra:
Number 4: IIIT Hyderabad:
Number 5: Netaji Subhas Institute Of Technology.
Number 6: Jadavpur University.
Number 7: Punjab Engineering College
Number 8: IIIT Allahabad
Number 9: Colleges of Engineering Pune.

Thapar Institute in Patiala. Good placements, International collaborations, amazing faculty and 23rd NIRF global ranking the engineering category. Isn't that everything one looks for in a college?

I'll prefer to opt for the Indian Statistical Institute as in this course, you can easily get a good reputed job in any part of the world but this is not that much true for the IITs.

1. General : Percentile score of above than 98.
2. OBC-NCL: Percentile score of above than 94.
3. SC: Percentile score of above than 92.

With just JEE, you can't get admission in IITs. You have to appear for JEE advanced and then based on your performance, you'll get admission in IIT Madras.
JEE main is for NITs.
To get admission in IITs, you must appear for JEE Advanced.

Please visit on this site first-
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwidkeeQ-bvhAhVCeysKHeTvAgYQFjAAegQIBBAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H.