CAT

Sir,
Yes, you are eligible to get admission in this college for IB with this much aggregate but you also need to clear interview for the selection because as you have only got 45 percentile in CAT. So, in that case, you can apply for the selection exam which amity university takes before interview which carries basic questions as you get in your CAT exams. I would suggest you to go for that exam as it would become more easier for you to get seat in this course.

Quite good chances keeping in mind last year cutoff unless and until you don't screw the interview.

No, you cannot get admission unless and until you are filling form for NRI Quota.

I guess very less chance to get shortlisted for interview even but you can take a risk and fill the form.

Yes, you can surely apply.

Yes, you will get a call. Average and median package is Rs 8 lakhs per annum while most of the marketing settle up between Rs 7 to 9.5 lakhs per annum. Yes, on basis of merit scholarships are offered, you can check website for the same.

Yes,you will surely get a call for interview but conversion depends on you. Minimum package to finance fresher is Rs lakhs per annum for 2015-17 batch.

Yes, you will get an admission call from NIT – Trichy and Durgapur.

CAT is for primarily Indian B-school and GMAT is for India as well as overseas. The main difference is that the CAT score is one of the mandatory requirement to study in Indian top B-schools like IIMs. However, if you are planning to study abroad, the GMAT score is required.
Both the tests have different exam format, score validity, fees, etc. GMAT is one of the toughest exams and by far more competitive than CAT as it adds a global perspective. The verbal section, integrated and critical reasoning sections in GMAT are tougher. You can also appear for GMAT up to five times in a year. However, CAT can be taken only once a year.

You have chances to get a call from IFMR. Your CAT score is slightly below the usual CAT cut-off of IFMR (i.e. 80 percentile). Based on your work experience and academic profile, you have chances of getting a call.
Best of luck.