MAT

You can get direct admission to private universities without any entrance exam. You should have minimum 50% overall in your UG level.
Here is the list of top MBA colleges in Bangalore and Hyderabad:
1. ISBR Business school Bangalore
2. Acharya School of Business Bangalore
3. MS Ramaiah Institute of Management
4. Alliance University MBA
5. RV Institute of Management
6. Symbiosis MBA School
7. IFIM-Business School
8. ICBM
9. ITM Hyderabad
10. VVIS Management

The composite score is reported on a scale of 199 to 801. All scores below 200 are reported as 199 and all scores above 800 are reported 801. Indian & Global Environment score is not considered in the composite score, but a minimum pass mark is required in this section to qualify the exam.

Your marks are pretty good, the only problem is with graduation percentage since it can reduce your chances to get admission in a reputed MBA college. You can appear for MAT and also secure admission in a B-School but just make sure you can justify the valid reason for graduation marks/percentage. Good luck.

Hi,
Yes, you can get the admission in June.
https://www.shiksha.com/university/iihmr-university-jaipur-22664/admission
Good luck.

Hi,
One can give MAT 4 times in a year. If you have missed February one, you can apply for May one. Probably dates for registration would be nearly in April. All the best.

Colleges that are government and accept MAT are:
1. ). NIT, Warangal
2. ). IISWBM, Kolkata
3. ). Doon University, Dehradun
4. ). Guru Gobind Singh Indraprastha University, Delhi
5. ). ABV, Gwalior
Good luck.

Refer the college predictor:
https://www.shiksha.com/jee-mains-college-predictor.

No, it's not possible. You have to appear for atleast one entrance test and should clear it as well so then only you can get admission in any B-school. This is a prerequisite to get admission in any MBA course.

Refer the link:
https://www.shiksha.com/college/jaipuria-indore-jaipuria-institute-of-management-indore-32476

As you can see, the CMAT cut off for B-schools ranges from 45 percentile to 90+ percentile. As per as the scores are concerned, the cut-off score range from 160 to 285. Some B-schools also accept CMAT ranks as cut off. When the CMAT result is declared, the candidates can see his or her score and rank.