Mumbai

B.Tech is a course where you cannot be adamant of a location. A course that needs to be paid a lot of attention. I would suggest various other specializations to broaden your area of interest and those that can get you maximum career opportunities such as CSE in cloud computing, cyber security and oil and gas.
A few college recommendations for you are:
1. Thapar University – Patiala.
2. DTU – Delhi.
3. MAIT – Delhi.
4. UTM – Shillong.

For getting admission in the colleges, the students have to appear for MH CET or AIPMT entrance exam.

Yes, it is an excellent university for doing architecture.

Yes, you can appear for CMAT, but it is preferred to give from your own state, examination will remain same across all the states.