CAT

I am sorry, but with marks of 392 even under OBC category, you cannot get a government MBBS seat in any state
But you have many chances to get BDS seat
All this I talked about government colleges
There are chances for private colleges.

It's quite difficult to predict that whether you will get seat or not as cut off marks for medical colleges keeps changing every year depending upon various factors like number of students that appeared in the exam, kind of marks obtained by them, toughness level of the examination etc. But when we go through previous data then it suggests that with 294 marks you may not get a seat in a Government Medical College
For example, In NEET 2019, the lowest marks that got a seat in Government Medical College for sc category under Madhya Pradesh state quota was 409 marks and it was for Government Medical College Shahdol.

https://www.shiksha.com/mba/articles/how-to-prepare-for-cat-prep-tips-from-toppers-blogId-18271 check its link out for some very helpful tips and tricks from toppers.

600+ score
Such candidates need to appear for GIM Goa personal Assessment in two stages i.e Achiever's Round and Regular Round. IMT Ghaziabad Post Graduate Diploma in Management (PGDM) Executive Avg. Score- 690, minimum 500 for PGDM-Ex.

For getting into IITTM-Gwalior, you will certainly have to target a percentile of 70 and above in CAT/MAT/CMAT. The best thing about IITTM is that you can apply with scores of either CAT MAT or CMAT and if at all a particular day could not be in your favour, you can certainly perform well in the other exams and attain a good percentile that can give you a GD-PI call.

As the NEET Score Required is about 510+ for RRMC Bangalore it's under R. G. H. U
Rajarajeswari Medical College and Hospital Bangalore (R. G. university. H. S)
General: Rs 1.98 Lacs, Management Quota: 38.12 Lacs. As per the last year NEET Score, and college which you have mentioned by there are chances to secure seat if NEET Marks are 510-530+ then
Karnataka state domicile like MS Ramaiah, Kempegowda Inst, Dr. B. R. Ambedkar Medical College, Bangalore, M. V. J. Medical College and Research Hospital, Channasandra, Bangalore.

You need to check which university accept the CAT basically CAT is for management and common entrance examination
If you go medical line, check the eligibility
There is a possibility if a seat is available in PMCH
You need to score within a rank of 1500 to get into PMCH Patna college based on NEET rank
Patna Medical College and Hospital was established and originally known as Prince of Wales Medical College is a medical college located in Patna the state capital of Bihar India It is located on the southern bank of the river Ganges and is now affiliated with Aryabhatta Knowledge University.

No, you cannot get admission in government college because for SC category, you have to have rank between 137.108, then you are eligible to take admission in government college of MBBS.

Closing cutt off is around 85%. .

This depends totally on you. If you preparing in your college town & your college town is far from your home town you should select college town it saves your time & effort in this crucial time or you should also opt for your home town.