M.A

Yes, you can get admission in M.A. political science or public administration easily and chances are highly available for you. Go for it.

Please refer the link to know about the syllabus: http://www.gauhati.ac.in/notification/ma syllabus.pdf.

Sharing the link of the sample paper:
https://drive.google.com/file/d/0B2TUA9nKtriIU3k4dkY4ZW9WdEE/view

Yes, you also need to have passed 1-year yoga Diploma.

Admissions are closed now. You can try next year for admission.

IGNOU is your answer. Apply online. Get yourself registered and follow the instructions. Believe me the whole process is very easy. Upload your documents and pay online. Your admission is confirmed. You can also go to the nearest IGNOU regional center for offline application. Last date for admissions has been extended up to 15th July 2018. Link for online admissions is given as under:-
https://onlineadmission.ignou.ac.in/admission/

Regular Mode M.A. From government Universities can be done but most of them have conducted their entrance tests or already closed applications. You need to search them. Many Private Universities are still offering admissions. See if you want to do this from there. Distance Mode M.A. English option is open at least till September.