Rajasthan

All Good. But, not for serious learners, classes are not regular and affiliated. Colleges doesn't have regular attendance. It is good for those students, those just want to earn some degrees. It provides a wide range of programs but one should study from his own end and should not totally depend on the University. University of Rajasthan is also good for distance learners because they just need to pay exam fee once enrolled. And, syllabus is easy and scoring good is not very hard. Overall, the university is good from facilities point of view but from academics point of view it is quite okay.
Choice is yours.

With 166 marks in JEE Mains paper 2 you are not eligible to get admission in any good government/private college because they consider a score of above 300 marks in JEE Mains paper 2 for admission.

The university is good.
Check out their cut offs and admission details if you are seeking admission there.
All the best.

Scope in finance is more in current situation.

Prestige is the best in terms of placement with good campus life. The staff is also good.

Hi,
How are you?
Well, other than IITs and NITs, there are many private universities like:
VIT
SRM
BITS
Galgotia
NIRMA University
UPES Dehradun
AMITY
SHARDA
LPU
which are having high placement records and the decorum here will make your personality development.
For you, SRM Chennai will be best.
Thank you and keep asking.

The first thing to do is check out the best B-Schools in India for Finance. Of course, IIMs are the best institutes, but better to know in detail according to the specialization. This can be done with a little bit of effort.
The second thing would be to check the eligibility for the course. The cut-off scores of competitive exams (CAT, XAT, IIFT, MAT, etc) and the required percentage in graduation, Xth and XIIth.
The next obvious thing is to join a coaching institute. T.I.M.E is the best for CAT coaching institute according to me. Prepare hard and get admission in a good B-School.
All the best.