Engineering

Indian Institute of Technology- (IIT) Mumbai.
Institute of Chemical Technology- (ICT) Mumbai.
Visvesvaraya National Institute of Technology- (VNIT) Nagpur.
College of Engineering- (COEP) Pune
Veermata Jijabai Technological Institute- (VJTI).
These are the best engineering colleges in Maharashtra.

I think, you can get one. You can get some good Colleges on the basis of this Rank. Go for the link below to find the list of colleges:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

108 -113 may be the cut-off.

On the basis of the rank obtained, you can get private colleges and may be government Colleges in your state. Go for the link below to know your chances of getting the Colleges:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

Sorry, you cannot get any NIT college. You should try for some private colleges like JECRC, Arya college Jaipur, Poornima college, Chandigarh university, LPU and many more are there who take admission directly.

Go for the rank below to find the Colleges on the basis of WBJEE and find Colleges in Bengal:
https://www.shiksha.com/b-tech/resources/wbjee-college-predictor.

Indian Institute of Technology Bombay IIT Bombay)
Indian Institute of Technology Delhi IIT Delhi)
Indian Institute of Technology Kanpur IIT Kanpur)
Indian Institute of Technology Madras IIT Madras)
Indian Institute of Technology Roorkee IIT Roorkee)
This is the best IIT colleges for mechanical engineerin

You can go for electrical, electronic and communication, computer Science, mechanical, automobile, aeronautical engineering etc. To get yourself into DRDO. Your scored should be good in B.Tech. I hope this will help you.

The fee for any rank student who get admission through AUEET is 1,65,000 for all cateogeries
you can get 20000 fee reimbursement if you are eligible as per the norms.

Friend, you can get private colleges on the basis of the JEE Mains as your marks is not good.