Hello Mk,

SPPU does not conduct entrance exams for M.A. courses, except in case of a change from one faculty to another. Entrance to M.Phil programme is on the basis of a written test and interview. 

You can visit their official Department of History site for more informations, here's the link-

www.unipune.ac.in/dept/mental_moral_and_social_science/history/his_webfiles/admissions.htm

Hope this helped you! All the best!