Kolkata

Hello Md,
Please refer to this link to get more insights of the colleges and branches.
https://www.shiksha.com/b-tech/resources/wbjee-college-predictor
However, your rank is far beyond to get this college.

Hello Saurav,
Please refer to this link to get more insights of the colleges and branches.
https://www.shiksha.com/resources/college-comparison
However, IEM is better than Heritage Institute of Technology in terms of placement.

Hello Md,
Refer this to get more insights:
https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/ranking/top-engineering-colleges-in-kolkata/44-2-0-130-0&ved=0ahUKEwjM96nNgsLUAhVLOY8KHZPoBaEQFgibATAF&usg=AFQjCNEIEVfMbpomKSgh6USvmlZbUE2GDg&sig2=WtfbZPQHlTTCJBsz4YlInA

St. Xavier's College, Kolkata. It is one of the prestigious colleges in Kolkata.

You may refer the two links below that give you the list of colleges for BBA and BBA in aviation in Kolkata:
1) https://www.shiksha.com/bba/colleges/bba-colleges-kolkata
2) https://www.shiksha.com/aviation/colleges/colleges-kolkata

Following are some of the colleges for women:
1) Lady Brabourne College
2) Vivekananda College for Women
3) Vidyasagar College
4) Loreto College
5) Gokhale Memorial Girls' College
You may refer the link below for the list of colleges for BA economics in Kolkata:
https://www.shiksha.com/humanities-social-sciences/economics/colleges/b-a-colleges-kolkata

Dear,
The last year's cut-off for admission to IIFT 2016-18 batch were between 38-45, which varied according to the analysis of different experts. The IIFT 2016 cutoff depends on exam pattern and difficulty level of the exam. Hence, it is expected that the IIFT 2016 cutoff would be around 40-45. It is equally good as IIFT Kolkata.