To be eligible for the BSc degree program at M.P. Sinha Science College in Muzaffarpur, candidates must have completed their 10+2 education with a minimum aggregate of 50% in the science stream. They must have studied subjects like Physics, Chemistry, and Mathematics/Biology in their qualifying examination. Additionally, candidates may need to clear an entrance exam conducted by the college or meet any other specific requirements set by the institution. Meeting these criteria will ensure that students have the necessary academic background to excel in the BSc program at M.P. Sinha Science College.