Colleges in Kolkata

It is a huge gap, but you can try. If you were doing something good in your gap years, then they will accept your admission. So, you can try.
Good luck.

Hi Sweta, yes fees will be different for those who are not appearing in the entrance exam. You need to pay a little bit higher amount.
Best of luck.

no;IEMJEE is not mandatory to study BCA

Heritage Institute of Technology, Kolkata
Institute of Engineering and Management, Kolkata
Narula Institute of Technology, Agarpara
Bengal Institute of Technology, Kolkata.

Overall INIFD has a little lower rank in terms of studies and placements as compared to other fashion colleges. But saying about specifically INIFD Mumbai campus, it has a little good reputation. As per opportunities, placement level is 50-60%. So, half class is expected to be placed.
That means, in

Presidency University, Kolkata
Jadavpur University
St. Xavier's College, Kolkata
Asutosh College
Calcutta University
To see more colleges and details, please click this link- https://www.shiksha.com/humanities-social-sciences/sociology/colleges/colleges-india?rf=filters&ct[]=130&uaf[]=location

No, mathematics is not compulsory for B.Sc in geography. You can apply via your own certificate and subjects with which you have passed your last exam. Just prepare for the test.
Best of luck.

Techno India University offers a graduation course in computer application BCA (Hons.) of 3 years duration. A student can pursue this course after passing his/her class XII board examination.

Yes, you can apply for MA in sociology if you have studied sociology previously as an optional subject.
Best of luck.