Cutoff for Mba colleges depends upon the college rankings and the student profiles who are actually applying. For the most cases students with acadamic diversity and gender diversity are considered and given more points compared to those of usual graduate fields like Engineering, hence you having a BA degree will gain you that uplift and have a slight advantage compared to others. As per HR is considered, best colleges for HR in India are,

1. XLRI, Jamshedpur

2. TISS, Mumbai

3. Old IIM’s

All the three mentioned colleges are best for HR but the hook here is these colleges conduct their own exams and to be eligible for admissions you will need to clear their individual exams like for XLRI you need XAT, for TISS you have TISSNET, for iims you can apply through CAT. And the scores required are also top end since they are best in the market.