CAT

Currently the validity of CAT score is for 1 year. Therefore, if candidate fails in graduation degree in year he or she scores well in CAT, candidate can not get admission in IIM.

There is no cutoff score. Selection is based on profile. Yes Cat and GMAT are both considered

Hi
It purely depends on what you wish to pursue further and in which country. CAT is for admissions to management institutes in india for courses like mba, PGP, pgdm etc.
GMAT is international standardized test for business management colleges for post graduation accepted in most of the countries.
GRE is for master's in other subjects than management for post graduation courses again abroad.
TOEFL/ IELTS is the English language proficiency test accepted in almost every country abroad.
So ideally , you will either be taking GMAT/GRE and TOEFL/IELTS to apply abroad.

You can find your chances here at https://www.shiksha.com/mba/resources/iim-call-predictor

You can find your chances here at https://www.shiksha.com/mba/resources/iim-call-predictor

You can go for PIBM Institue for MBA in Pune.
Pune Institute of Business Management (PIBM) is an AICTE approved

For admission into BBA Hons , You need to score good marks in 12th. You can't appear for CAT. Its for admission into MBA courses.

YES, IF you prepare well. fee depends on college, but if qualify it, dont worry about fee, you can get loan and repay it later, any way you should be prepare about 2-4 lacs per year for normal college for IIM it is higher