CAT

As per last few years' percentiles, GIM requires CAT percentile to be at least 85. Similarly for MICA, it is higher.

You can expect calls from all new IIMs depending upon your graduation stream (better if not engineer), calls from other IIMs can also be received.

Yes you are eligible on being above 50% criteria, perform well in subsequent rounds.

Obviously, you should score good marks to get admission easily. But, yes it is not compulsory to attain above 90. And, all your performance in further rounds will definitely matter. So, try to maintain a stable graph.

You can get call for initial rounds easily, as per the scores, and if you perform well further chances are good.

Yes, you can get admission, contact the management of AIMS and follow steps accordingly.

If the institute is considering overall, then you'll get admission but if they are seeing section wise then it'll be difficult.

Click the link below. https://www.shiksha.com/mba/articles/colleges-accepting-cat-scores-range-60-to-70-percentile-blogId-11984.

https://www.shiksha.com/mba/articles/colleges-accepting-cat-scores-range-70-to-80-percentile-blogId-11956.

Admission to IIT-Delhi is subject to the combined score you get in the academics, extracurricular and CAT. Since you will competing with other aspirants having good academic score, I believe your chances are bleak if you are a general category aspirant. Still, give your best in CAT. There were instances in past when a 99% student didn't get interview call because of not so good academic score. Still, I wish you all the best and do apply to IIT Delhi, if you get a score of 95%.