Maharashtra

COEP is the best college in Pune. It is one of the best colleges not only in Pune but also in the whole country. You can take admission in College of Engineering Pune without having a second thought.

You have to take BITSAT:
http://www.bitsadmission.com/Eligibility_Criteria.aspx check this

You may get admission in following colleges:
Dwarkadas J. Sanghvi College of Engineering
Institute of Chemical Technology
Veermata Jijabai Technological Institute

The eligibility criteria for direct admission in BE/B.Tech in Mumbai remains 45% in Physics, Chemistry and Maths at 10+2 for open category students and 40% for reserved category students. Here are the some colleges below:-
1. Saraswati Education Society, Group of Institutions ( Integrated Campus), Diksal Dist. Raigad
2 .Manjara Charitable Trust's Rajiv Gandhi Institute of Technology, Mumbai
3. Vidyalankar Institute of Technology,Wadala, Mumbai
4. Mahavir Education Trust's Shah & Anchor Kutchhi Engineering College, Mumbai

Hello Arpit,
As per your marks, you have good chances. However, check here for more insights:
https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/mhcet-college-predictor&ved=0ahUKEwjrv4e4t57UAhUisFQKHRwjAH4QFggrMAE&usg=AFQjCNE0yQCarH8fgLECdumzy3J65y6ptw&sig2=IeW3uDidzg77W0gVvLzISQ

Hello Vabihav
Please visit the link for more detail about the engineering college in nashik
http://www.nasikseva.com/ad-tag/list-of-government-engineering-colleges-in-nashik/

There are many good institutes like Amity, SMU, St. Xavier's. Check the below link-
https://www.shiksha.com/it-software/colleges/b-sc-colleges-mumbai-all

Yes, there is reservation quota for students.
OBC-27%
SC-15 %
ST-7.5%
PWD-3%