CAT

You can look for VIT, Alliance, Jaipuria, XIME, IMI-Kolkata, Amrita, ITM-Mumbai, BIMTECH-Noida and SIES-Mumbai.

I am sorry you need to score minimum 75-80 percentile.

It will depend on your social caste, educational background, work experience, interview etc. It cannot be said with certainty about one's chance of getting admission at IIM Shillong. It will depend on your performance in interview and GD. You can go through the admission process in the IIM Shillong website or follow the link:
http://www.iimshillong.ac.in/docs/pgpadmission-process-2017_19-batch.pdf

It will depend on your social caste, educational background, work experience, interview etc. It cannot be said with certainty about one's chance of getting admission at IIM Shillong. It will depend on your performance in interview and GD.

There are different cutoffs for people coming from various backgrounds. It will depend on your social caste, educational background, work experience, etc. All the best.

Yes, you can expect calls for PGDM, BFS and HRM .

Yes, definitely, you can. If not for PGDM, then you can expect a call for HRM and BFS.

Of course, you can expect a call.
All the best!

With 51% in graduation, it is bit difficult to get a call. However, given to high CAT score there are few chances.