CAT

Hello Sudhanshu,
Though the marks obtained are good but no one can ensure you to get in this college or any other, because this is the very first criteria to select the students. After this, one has to undergo through written test, GD, PI or whatever is required for selection. So, scoring good in competitive exam is just not enough. So, for now, you can apply to this college and based on your marks and performance in PI you may get shortlisted.

You will be shortlisted. All the best!

With 43 percentile in CAT, you will not get any good college. But, you can always go for other exams and score more to get good college.

You can apply to IIT (ISM), Dhanbad for MBA. Also, there are many other colleges like IFIM B-school, Bangalore, etc. which accepts CAT score and based on your performance in group discussion and PI, you may be shortlisted.

Every year there is different cut-off. Since, your is an OBC category, you can apply. Last year, they have accepted such score.

Various colleges have various cutoffs, an average, unorthodox institute can keep them to 50 while all other major institutions will look for above 80.

Yes, you have got a very good percentile in CAT and also you have good grades in your 10th and 12th. So you will definitely get calls from good B-schools. You can also refer to below link to calculate if you can get a call from IIMs.
https://www.shiksha.com/mba/resources/iim-call-predictor

It all depends upon you. If you are thinking about pursuing MBA/PGDM this year, then you can apply to good colleges like FORE, IFMR, Welingkar, etc.

As you have got above 80 percentile in CAT, you have got good chances. Graduation mark is also fine enough. As far as my knowledge goes there are no scholarships. But you can take education loan and repay it easily once you get admissions because placement is guaranteed.
Thank you!