West Bengal

No, every process happens only in Bangalore.

IIM Kolkata is the best Government institute for MBA in terms of placement. For other good Government colleges please refer to following link: https://www.shiksha.com/mba/ranking/top-mba-colleges-kolkata/2-0-0-130-0

You may refer to the ranking of engineering colleges in Assam, West Bengal, Jharkhand and Meghalaya:
https://www.shiksha.com/top-engineering-colleges-in-assam-rankingpage-44-0-102-0-0
https://www.shiksha.com/top-engineering-colleges-in-west-bengal-rankingpage-44-0-127-0-0
https://www.shiksha.com/top-engineering-colleges-in-jharkhand-rankingpage-44-0-112-0-0
https://www.shiksha.com/top-engineering-colleges-in-meghalaya-rankingpage-44-0-116-0-0

Hi,
You can refer this link for colleges in Kolkata offering SCM course:
https://retail.shiksha.com/supply-chain-management-courses-in-kolkata-categorypage-11-45-1-0-0-130-127-2-0-none-1-0
Here is the link for IIMM : https://www.shiksha.com/Iimm-Indian-Institute-Of-Materials-Management-Bangalore-institute-college-listingoverviewtab-33356

Hi,
Both the fields are good. But, if you are planning for BCA then after 3 years you will need to study MCA also as BCA alone will not get you a very good hob in IT sector. As far as hotel management is concerned you need to appear for the NCHMCT JEE which conducts entrance exam for admission in reputed government hotel management colleges in India.

You may refer to following link for list of colleges which offer Automobile Engineering in Kolkata, West Bengal: https://engineering.shiksha.com/be-btech-in-automobile-engineering-courses-in-west-bengal-ctpg