Hello 

BEST COLLEGES IN MUMBAI:

1. institutes  of chemical technology. 

 2.DJ sanghvi.

 3.Indian institute of Technology. 

BEST COLLEGE IN NAGPUR;

 1.visvesvaray national institute of Technology 

 2.priyadarshini college of Engineering. 

 3.Laxminarayan institute of technology. 

I hope it will help you

Good luck...

hii govinda,

if you search in nagpur the following are high rated colleges for chemical Engineering:

1.VNIT Nagpur

2.laxminarayan institute of technology

3.priyadarshanini institute of technology

and in mumbai there are:

1.IIT Mumbai(powai)

2.shri vile parle kelvani mandals dwarkadas J Sanghvi college of Engineering

3.bharathi vidyapeeth college of Engineering

4.Institute of chemical technology(ICT) mumbai.

Hope this helps.