CAT

If you are general or OBC category, chances of getting a call is bleak. But, if you have any reservation other than this, there is a high chance of getting calls.

If you want to get top B-Schools and need good placement reappear for the exam or you can try for another competitive exams like MAT, ATMA, etc.

Kindly follow this link-
https://www.shiksha.com/mba/articles/colleges-accepting-cat-scores-range-60-to-70-percentile-blogId-11984.

Yes, you can get shortlisted for GD, CUSAT is a scholarship test and you can participate here. The eligibility criteria is 50% aggregate marks in Bachelor degree in any discipline.

Hey,
Great Lakes consider overall profile for evaluation. Your academic scores are fine.You have a good chance of getting an interview call.
PS : Getting a call also depends on overall pool of applications received.

You need to get 99.99 percentile to get into IIM-A work on your entrance exam to score above 98 percentile.

Well, the list of colleges and courses are enormously vast. You have the option of going for MBA or PGDM which is what everyone does after writing the CAT and CMAT exams. Or else you can go for several other courses which don't even require any examinations. Specifically speaking, the course depends upon you. So what you should do is identify the field which interests you and select courses related to that interest. Then search for colleges which provide those courses. This is the best way to choose.
All the best.

As per the last trends, BIM, Trichy requires the following CAT percentile (without sectional cut-off) as under-
1. For general category 86.5 and above
2. For OBC/PWD/DA categories 70 and above
3. For SC/ST categories 50 and above
Hence, you may go through the above for self assessment.

Well, according to your previous academic results, I think 85+ percentile in CAT will make your chance in getting good college.