CMAT

Rewati that's a good decision to prepare for two exams at the same time. With this you can also give CAT/MAT/SNAP exams. You just need to keep the syllabus in mind for all the exams. The difference between all the exams are just the difficulty level. You can refer this link for more clarification:
https://www.shiksha.com/mba/exam

You could register with two discipline and you may surely get call for GD/PI for one of them. All the Best.

You could apply as your CMAT is on higher side. Average salary at SOM is about 4 LPA.

Some of the colleges are:
Lovely Professional University
University of Petroleum and Energy Studies
International College of Financial Planning, Delhi
JRE Group of Institutions (JRE), Greater Noida
Infinity Business School
Asia-Pacific Institute of Management
Ishan Institute of Management and Technology

Yes definitely u may get this collage nd very easily while doing the legal procedure

The cutoff for CMAT last year was around 92 percentile. However, it varies every year depending on how many applications we receive and the overall result itself. As far as seats are concerned, all 360 seats in the PGDM program are open to everyone and are alloted purely on basis of merit. No seats are reserved for mumbai students.

93 percentile is very good score. Your son has got good chance for admission,subjected to his performance in GD& PI Process. Apply for NIA Pune.

BIMTECH accepts CMAT scores only for retail management and insurance business management course, with such a decent score you will definitely get a call from BIMTECH for GD/PI and converting call to a seat depends upon how well you do in GD/PI and your profile.so, hope for the best.