CAT

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!

The best way to prepare is to join the online mock series of best coaching institutes and prefer standard books prepared by some good coaching institute. You can take the help of videos to clear your concepts on different topics.

No, you are not eligible for this college. Next time, do hard work for CAT.
Best of luck for your future.

Most of the colleges demand more than 50 percentile and if you want an above average college then you should have above 85.

CAT exams are generally held in the last week of November or first week of December.