Hey!Sarika

Seeing previous year trends with rank around 60k rank,you seems elligible for government engineering college with lower stream.Chance of getting core stream in government engineering college seems less.Go through below mention link to know which Colleges you may get with above rank:

https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.careers360.com/mht-cet-college-predictor&ved=2ahUKEwj8lNqotM_iAhVPiXAKHaSnB40QFjABegQIARAB&usg=AOvVaw02h2l9ETXofulHe_IAt6Im.

GOOD LUCK!