Colleges in West Bengal

Yes, there are good chances of your selection you have to perform well in your group discussion and personal interview.
Placements are good here and worth the money. Don't worry about it.

Jadavpur University, Jadavpur, Kolkata
Public/Government | Established 1955
UGC Approved
Grade 'A' accredited by NAAC
State University
Member of AIU
Use the link provided below for details regarding admissions in this particular institute:
https://www.shiksha.com/university/jadavpur-university-kolkata-19992

In +2, Biology, Physics and Chemistry with 50% marks is a must.

Hi Nikisha,
You can easily find good books to prepare for the designing exam. But you should go for a book which have all of the previous question papers of NIFT with the answer key of the drawing section at least. Or, I will suggest to take a crash course of 10-15 days for the entrance exam.
All the best.

It depends on various factors and varies year to year and course to course. It is not clear which course you are looking for here but refer to the below link to know about cut off of various courses last year:
https://www.shiksha.com/b-tech/articles/iits-admission-cut-offs-2016-opening-closing-ranks-part-2-blogId-12779