Colleges in Kolkata

No, you will not get mechanical in this college. Closing rank of the previous year for the mechanical branch was around 9000. So chances are very low. Try for other branches or try for other colleges. I am helping out more by the attaching of the link where you can find all the details regarding the colleges and branch details respectively.
Link: https://wbjeeb.nic.in/wbjeebcouns/orcr/PrevYearORCR.aspx

Hi Rajesh, the eligibility criteria clearly says that one must have at least anyone of these following subjects: Maths, Business Maths & Stats only then one will be eligible. If you didn't have maths, no problem. If you had any of the other two, you are eligible to apply. For further details you can visit the following link:
http://sxccal.edu/admissions/SXCAdmission2018/UG8102/infoBCOM.htm.
All the best.

Yes, you can study cse from any TIG college. Any college in Techno India group gives u more chance in terms of placement.