Hello aspirant

most of the government colleges gives admission on the basis of their entrance exam but some of them gives admission on the basis of  your merit that totally depends upon your intermediate percentage (12th standard) .

list of few engineering colleges that provides admission without  considering JEE mains score-

1.College of engineering ,pune.

2.Malviya national institute of technology,Jaipur.

3.Veermata jijabai technological institute ,Mumbai.

4.Andhra university of engineering ,Vishakhapatnam.

5.Maharaja sayajirao university of Baroda.

6.Lalbhai dalpatbhai college of engineering ,Ahemdabad.

7.The institute of chemical technology ,Mumbai.

8.Harcourt butler technical university,kanpur.

9.Institute of engineering and technology, Lucknow.

10.Jawaharlal Nehru technological university college of engineering, Hyderabad.

hope this will help you.