Engineering Entrance Exam

Yes, you can get admission in a moderate NIT for CSE.

No, you cannot get admission without taking engineering entrance exam.

Please share the branch of your choice. Only then I' ll be able to tell you about your college cut-off.

I think SRMJEEE doesn't have negative marking. It's a simple entrance examination.

Yes, if you qualify JEE Mains.

Yes, you can get admission in M.Tech with this rank.

It is a previous pattern in UPSEE that you may see in the previous year question papers but this year, pattern is 50 questions each from PCM that is total 150 questions and each correct answer carries 4 marks and there will be no negative marking.
You have to score less than 30k rank to get admission in this college.
All the best.

I regret to inform you that, you are not eligible for Thapar University. You should try for other colleges.