Colleges in Bhubaneswar

You can visit this link for detailed information
https://www.shiksha.com/college/maharashtra-institute-of-dental-sciences-and-research-latur-68027/course-mds-in-prosthodontics-461719

For admission in utkal university, the eligibility criteria is:
45% marks in graduation with minimum of 24 credits.

At Nimpara Autonomous College BSc in mathematics course can be pursued through online mode and 4000 to 6000 is the fee structure per year as it's a three year course and 70%-90% is cut off

The college is good for mechanical engineering.

10+ 2 in science with above 80 % should be there

Yes, you can take admission in Biju Patnaik University of Technology for B.Tech.

For state govt. quota seats total fees is 70,400 and for state govt. quota seats total fees is 1,50,000.

I do not know about domicile cut-off, but following data are important as well for you, I guess:
XIMB Cutoff - Xavier Admission Test
Verbal Ability 60
Quantitative Aptitude 75
Data Interpretation 65
Overall Figures 90
XIMB Cutoff - Common Admission Test
Verbal Ability and Logical Reasoning 94
Quantitative Aptitude and Data Interpretation 84
Overall Figures 91

Yes, But do remember, questions will be asked from all four subjects including Biology. So prepare that well. All the Best

Based on previous years (2020) allotment of seats, on such rank you can get seat in CMR Institute of Technology because in 2020, the closing rank for OC-Boys was around 86,000.
Though if you belong to reserved category, you may have chances, this is completely based on previous year data, cut-offs vary every year based on multiple factors such as seat intake, difficulty level of the paper, number of candidates appearing for the examination etc.