Finance

In my view MBA-Finance is better option. Any organisation needs more finance specialist. Roles like Credit analyst, Risk Analyst, Finance Consultant, Account Manager, Relationship Manager and similar other roles. Job offers are across various sectors like Banking, IT, Manufacturing, finance-Tech. Though HR also has job roles in these sectors, but the number is higher for Finance roles.

You have to appear in MAT exam after that there is a GD round and interview. You can apply after May. The fee is Rs 54,000 only.

You should first understand what all parameters you are considering for selecting the right b-school.
following parameters can be used to find out which of the two best suits:
Faculty
Package
Recruiters
Summer internships
Extra-curricular activities
Electives offered
Placement statistics (highest, lowest and average CTC offered).
Intake of students
Teaching methodology
According to me, BIMM is a good option for PGDM in finance.
BIMHRD is for HR, I guess.
Whereas, in IBS-Mumbai, there are decent faculty members for finance.

Yes, IMT Nagpur is good for finance specialization. The Finance department has one of the best faculty members who have an experience of about 25 years in industry and have passed professional qualifications like CA FRM etc. Also, there are companies like CRISIL, VERITY, HDFC BANK, ICICI LOMBARD, TATA AIG, KOTAK MAHINDRA BANK and YES BANK, who have visited the campus for final placements offering around INR 7.5 Lacs pa.

All the courses have different objectives, and therefore different curriculum. I am posting the links of these courses with details:
http://admissions.tiss.edu/view/10/admissions/ma-admissions/master-of-public-health-mph-in-health-policy-econo/
http://admissions.tiss.edu/view/10/admissions/ma-admissions/master-of-public-health-mph-in-social-epidemiology/
http://admissions.tiss.edu/view/10/admissions/ma-admissions/master-of-health-administration-mha/
You can go through their curriculum and their objectives as they lay it out.

What exactly you want to know ?

No, it is not mandatory to have mathematics for this course.