Exam

Yes, you have a good chance of getting a call from the University.

Admission is done on the basis of CMAT score followed by counselling. Candidates from Gujarat can also apply through GCET (Gujarat Common Entrance Test) but candidates applying through CMAT will be given preference.

Yes, but you will have to attempt Maths paper in entrance exam and pass in that. You will only be eligible for Army Wing however.

Yes, you can pursue B.Tech or BE in Karnataka after your Diploma from West Bengal. Not even Karnataka, you can take admission all over the India. The syllabus of the exam for computer Science can vary from university to university. So, please specify from which university's syllabus you want.

You can refer https://www.shiksha.com/hospitality-travel/hotel-hospitality-management/iihm-echat-exam-syllabus.

I think you have very low chance of getting a call letter from BITS, Pilani because for this you need to have required higher percentage and you should have some technical skills that you are eligible for this.

Usually, it takes 4-5 months, and for the January form, you will get it by mid June.

You can definitely opt for PGDM.

Firstly, congratulations for your MAT score.You are surely eligible to get an admission in BULMIM.There are 100+placement offers received this year and the average package is INR. 6 lakhs. More than 70 companies visited the campus this year.