Colleges in Orissa

Companies/recruiters who visited the campus-
Amazon | Barclays Bank | Bharat Biotech | Bosch Ltd | Dabur | DCB Bank | Deloitte | Evolva | Intel | ITC | Microsoft | Nestle | Nucleome | Saint Gobain | Samsung | SAP | Shapoorji Pallonji | SRL Diagnostics | Tata Power | TCS | Tech Mahindra | Vodafone | Voltas | Wipro | XL Dynamics

Definitely, you'll get admission. You have around 215 marks and with ST, you'll easily get computer science or ECE branch in it. Moreover, go for Surathkal or Trichy also. Else, if you have locational or any other preferences, Rourkela is one of the best.

JEE paper 1 marks are responsible for NITs and CFTIs. Your 2 paper marks are responsible for IITs only.

All NITs accept CAT score. Some NITs also accept MAT score and very few NITs accept CMAT score. Since NIT, Rourkela has not mentioned any particular exam therefore it must accept CMAT also.

Institute of Technical and Professional Studies, Bhubaneswar does offer a distance M.Sc. For details regarding this course please refer to the link provided below:
https://www.shiksha.com/science/course/distance-m-sc-institute-of-technical-and-professional-studies-bhubaneswar-154530

Kindly consult with the admission department of Centurion University.

If you score 27 in JEE Mains in math, you may get admission in B.Tech.
If you have 27 marks in 12th board exam, then you have to pass this first and then you can go.
All the best.

Institute of Technical and Professional Studies, Bhubaneswar offers an M.Sc course in distance mode. For details regarding this course please refer to the link provided below:
https://www.shiksha.com/science/course/distance-m-sc-institute-of-technical-and-professional-studies-bhubaneswar-154530

The rank you mentioned is pretty good enough to take admission in CV Raman College of Engineering and mechanical engineering is quite a good branch. First of all, it's a core branch with many on campus training courses that will help you in future accompanied with well-equipped labs and center of excellence for practical concept clarification. I am only talking about CV Raman as I am a student here.