Exam

You can look forward to FORE, LBSIM, BIMTECH Noida, KJ Somaiya, TAPMI, Nirma, GIM Goa, IRMA Anand, etc.

It is a good score.But better you confirm your marks with the office of your desired college. For example, for Thiagarajar School Of Management accepts above 50% CAT score.

It is a bit difficult to get in with this score. I would suggest you to give CET also if you can score there. Also, for PGDM, admissions aren't only on your competitive exam scores, but your past academic record, PI and a test set by the college.

SP Jain, XIM Bhubaneswar, BIMTECH Noida, Nirma, LBSIM, FORE, etc. are the good colleges for you.

Yes, you have 80% chance of getting admission but depending on the number of students appearing for the GD/PI and the CAT score of the applicants.

You can apply as there is 70% chance of getting selected depending on the number of students appearing in the GD/PI and category to which you belong. If SC/ST, most probably, you will get selected.

You can apply as there is 70% chance of getting selected depending on the number of students appearing in the GD/PI.
Best of Luck.

Very good chance for getting shortlisted for the process.
For more information, refer brochure:-
https://www.somaiya.edu/media/pdf/PGDM_Admissions_Brochure_2017-19.pdf
Online application form:-
http://simsr.somaiya.edu/simsr/adm/pgdm17/onlineform/login.aspx
FAQs:-
https://www.somaiya.edu/media/pdf/FAQ_201

If you are aiming for IIMs then for general category the cutoff is around 98 percentile. Other good colleges for PGDM are IFMR, GLIM and KJ Somaiya. CAT has quantitative, grammatical and logical reasoning. Difficulty level is high in any 1-2 sections of the paper.

You can go for Alliance University or Tier-3 colleges. It would be better to reappear for the exams then going for ordinary colleges.