CAT

Yes, there are high chances of getting a call at 85%.
However, I'm bit skeptic about it because of low score in class 12th.
Still I'll suggest you to apply for both HRM and BFS.

Last year cutoff CAT- 86 percentile,CMAT - 96 percentile and XAT- 78 percentile.
You are having chances considering last year's cut-off but cut-off changes every year, so I cannot comment with full surety but it looks good from my personal opinion.
Find below the online application form link:-
http://simsr.somaiya.edu/simsr/adm/pgdm17/onlineform/login.aspx

Chances are less at this score. You can apply for IIT-Roorkee, IIT-KGP, IIT-Madras, IIT-Kanpur. IIT-B/D have a higher cut-off, unless you have a good work/academic profile.

You can try applying for BIT-Mesra, Alliance and IFIM-Bangalore at this score.

Yes, it does accepts CAT score. Next CAT exam will be in the month of Nov./Dec. 2017.

The minimum required percentile for getting a call for general PWD/DA category varies from year to year. However, for 35.33 percentile, chances are little less.

The cut-off for XIME is 75+, so I would advice you to apply with your CMAT /XAT ID and hope that you perform well in both the exams.
All the best.

There is no official cutoff since admission in Great lakes is profile based. But the trend is around 85-90 percentile for CAT.
Best of luck!

I would understand of you do not like what I have to say. You would agree that your score in CAT this year isn't great. So, you really should not be going anywhere near a college that would be willing to accept a score of 52 percentile. So, I would recommend that you prepare for CAT once again in 2017 so that you can get into one of the top colleges.
Best of luck!

If you are confident enough to develop your personality, if you have good communication skills, if you have grip on English, and if you are ready to work hard and smart for the entrance exam, then you can just go for it. If you do well in the entrance exam and in the next stage, then academics won't matter much.