Colleges in West Bengal

Not generally. Though some subjects allow general or major. Please specify what subject you are aiming for. So, I can help better.

Hello,
They accept only CAT score(75-85). All the best.

For IIMB, percentile around 95-100 would be enough, but it depends on various other factors which changes every year.

There is no specialisation as such. One can take electives as per choice and become a specialist in that field.

Hi Ishani Pal,
Please check the eligibility:
Eligibility
Candidate must have graduate degree in Civics / Political Science / History / Geography / Physical Medicine (MBBS, BHMS, BAMS, BUMS ) Education, Nursing (GNM), Sociology from a recognized University.
Admission Process
Register and Apply
Interested candidates can apply online/offline with required information.
Merit Screening
Admission is based on the marks obtained in graduation.

I think you are eligible for a PG course in Psychology and Counseling.

List of Government college which offer Lateral B.Tech through JELET:
Academy of Technology, Kolkata
Aryabhatta Institute of Engineering & Management, Durgapur
Bengal college of Engineering and Technology
Camellia School of Engineering and Technology
Institute of Science and Technology, Medinipur
MCKV Institute of Engineering, Howarth
Swami Vivekananda Institute of Science and Technology, Sonarpu
Source: http://entrance-exam.net/forum/diploma/list-government-engineering-colleges-offer-lateral-b-tech-through-jelet-india-1821805.html#ixzz5R2nvpsVU