Government College of Engineering, Aurangabad

First of all, you have to tell your category then only anyone can give you a clear cut answer. So, I am assuming you to be of general category, with this rank, it is not possible for you to get any government college.
I hope it helps.
All the best.

Since EWS category is newly introduced, but you have chances in good branch and good colleges. So, you can go for counselling in GFTI, CFTI or reputed state government college.

Please visit this link-
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/upsee-college-predictor&ved=2ahUKEwjEw_fS5IbiAhX_6nMBHRRfARgQFjAIegQIARAB&usg=AOvVaw35nIYCmB-o81pLl73rIIvk

Hello Radhika, You may use the college predictor tool from the link below to know the list of government colleges that you can get with your JEE Main score :
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

Admissions in GCEKJR is not on JEE Mains basis.
Selection of candidates is done on the basis of marks/ rank secured by the applicant in OJEE, which is followed by a counselling session conducted on a state level. A final merit list of the candidates is declared after counselling. Candidates can apply for his/her desired course by submitting the application form online through the OJEE website.

Use JEE Mains College Preditor. Enter your JEE Main 2019 rank to predict your colleges. https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

Please visit this site first
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

Yes, it is affiliated with the University of Pune which is a government-run university.