M.A

Click the link below. https://www.shiksha.com/university/jnu-jawaharlal-nehru-university/jnuee-exam-dates.

Hi,
The course you mentioned is a good one. I would advise you to take up the course you like. Also Xavier's is a well-known college, but first select the course you feel is appropriate and then search for top colleges for that particular course.

The purpose of the exam UGC NET (University Grants Commission National Eligibility Test) is for selection of candidates for posts of only Assistant Professor or both Junior Research Fellowship (JRF) and Assistant Professor in Indian universities and colleges. The minimum eligibility to apply for the exam is Bachelor's degree at graduation level. For more details, click below
https://www.shiksha.com/exams/ugc-net.

Why you want to go for MA in Hindi, there is no link in between the two.

The official website says candidates should have philosophy as one of their subjects in graduation or candidates should have graduation from national/foreign university recognised by BHU and a post graduate diploma in Indian philosophy and religion with 50% aggregate at both the courses.

Eligibility Information: Candidates should have passed B.A/B.Com/B.Sc with Telugu as second Language or BA with special Telugu.
Mode: Full time
Duration: 2 Years

Yes, there is a fixed quota for foreign students, as per my knowledge.

Hi friend, here are the names of Best colleges for integrated MA/ M.Sc in economics are:-
1) University Of Allahabad
2) Delhi School Of Economics
3) Madras School Of Economics
4) Lovely Professional University
5) SRM University
6) Dibrugarh University
7) University Of California
8) University Of Cambridge
9) University Of Yale
10) University Of Berkeley.