Information Technology

Christ, Alliance, Acharya, Amity, ASB, JAGAN are some of the best where you can apply to at this score.

This is a very colleges specific question, would request to call the college authorities for the same:
Contact - http://www.wbut.ac.in/page.php?id=318

Although most of the colleges in India for Robotics is not that good. But exceptions are there:
IIT Bombay
IIT KGP
IIT KANPUR
IIIT Hyderabad (not sure, but they are good at research. They focus mainly on end products.)
BITS Pilani (currently working on Hyperloop)
These are a few colleges as far as I know which are good for a Robotics.

For details check the link below:
https://www.shiksha.com/it-software/course/master-of-computer-application-school-of-distance-education-bharati-vidyapeeth-university-proactive-education-kothrud-pune-266281
For admission start date, you need to contact the office directly, check the link below for contact details:
http://distance.bharatividyapeeth.edu/index.php/contactus/head-office

For all the details related to GATE exam, check the link below :
https://www.shiksha.com/engineering/exams/gate

You might not be eligible for BCA due to age restriction . For more details, check out the link below :
https://www.shiksha.com/it-software/course/bachelor-of-computer-applications-directorate-of-distance-education-Punjab-technical-university-Punjab-other-283883

Check out the link below for MCA colleges and filter colleges according to location:
https://www.shiksha.com/it-software/colleges/mca-colleges-india