Engineering Entrance Exam

CET is a state level examination.
JEE Mains is an all India level examination.

Yes, you have bright chances of getting admission in NIT as you have cleared your category cut-off, so you will definitely get admission in NIT. Not the best one but the good one for sure.

Yes, you can but not in category-1, maybe in 2,3 or 4.

Hello Vyom,
As per your marks in JEE Mains, your chances of getting a good college is very slim. So, better you look forward to other exams that you may have applied for.
All the best.

Yes, you are qualified.

The BITSAT syllabus is set as per the syllabus of NCERT for class 10+2 (CBSE board schools). BITSAT normally covers five major topics; Chemistry, Physics, Mathematics, English Proficiency and Logical Reasoning.

The total number of seat in all IITs are given below:
Civil Engineering-495
Chemical Engineering-277
Computer Science and Engineering-471
Electrical and Electronics Engineering-724
Mechanical Engineering-567
Metallurgical Engineering and Material Science-254
and in NIT, it is about 7000 to 8000.
All the best.

If your score is good then you can appear directly for the counselling in a particular state to get the admission but you have to discuss the same with the college administrator.