CAT

CAT weightage is as low as 10-15%. Maximum weightage is given to PI and hence there are high chances of converting the call even at low CAT score.

You will surely get a call. Please have a check on your mails. You will get a call mostly in February or March 1st week.

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!