Shiv Nadar University

Sorry to say, but you haven't cleared JEE Mains required cut-off. So there is no way to get admission in SNU on basis of JEE Mains.
You may get admission in any private college on the basis of class 12th percentage.

It's located on NH-8 highway, Tehsil- Dadri, Gautam Buddha Nagar- 203207.

You have scored good marks.Why Shiv Nadar? Join any NIT or IIIT.Can you tell me your rank so that I can suggest you few colleges according to your marks.Thapar University, Patiala and LNMIIT will be best for you.These two colleges are far better than Shiv Nadar University.

Shiv Nadar is best option as this college provides a nice exposure to the students which helps them improve their personalities. The infrastructure of the college is nice and it provides all the facilities. The college has a world class system education. It is a little dominated by students and is a little backward in the standards of their exams.

I can't say Amrita is bad, because I have never been there, but I can tell you SNU is best in all the terms of education in private universities compared.

Maybe or maybe not, because last year out of 600, 577 was the cut off. After qualifying the cutoff also, there will be an interview. So, we can't assure anything depending only on marks.

For the SNU SAT, the syllabus is the same logical reasoning that you have learnt for the other exams such as BIT SAT.
Coming to Apt,
For B.Tech, it is physics & mathematics that you have learnt in class 11th and 12th.
Trust me, there won't be any negative marking, so as an experienced one, I suggest you to attempt everything.

Kindly use this college predictor app. Hope this will resolve your query. https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
All the best.

B.Sc is more practical, and BA is more theoretical. B.Sc focusses more on mathematical aspects. It has more number of courses. A B.Sc degree should be your first choice. If you go for an honors course, you get a specialization in the final year.