Here are the official website links which you should visit to get the syllabus for the entrance test and other details -

https://www.bborooahcollege.ac.in/site_photo/prospectus-2018.pdf

https://www.bborooahcollege.ac.in/

Visit the link attatche below in order to get details about the syllabus and process of admission for B Baruah College for Bachelor of Arts course - https://www.careers360.com/colleges/b-borooah-college-guwahati/ba-course