Government College of Engineering, Amravati

Dear Abhishek,
There website mentions nothing about admission but it must be through Directorate of Technical Education, Maharastra. Check with them. in case you fail to clear their test try for admission in universities like Lovely, Manipal, DIT, etc where it can be through marks in Diploma or university conducted test.
All these universities have wonderful infrastructure and world-class facilities to offer to students apart from good placements. Some of these universities even offer scholarships.
Good luck.

Go to the college predictor link provided by Shiksha.com. As per your score, you would find some better college options there.

Please specify the exam name for better assistance.

UPSEE 2018 College Predictor
Use your UPSEE 2018 rank to see where you can get admission at the link provided below:
See the courses, colleges & rounds you may crack
The result is based on admissions data of UPSEE 2017
Get resources & insights on colleges & courses
https://www.shiksha.com/b-tech/resources/upsee-college-predictor

Yes, as the COEP-Pune is the college of the standard of NITs any many good IITs, so if you are getting COEP, then definitely opt for that only.