To be eligible for a BSc degree at Lok Manya Bal Gangadhar Tilak College, Buxar, candidates must have completed their 10+2 education with a minimum of 50% aggregate marks in the relevant subjects. Additionally, they must have studied subjects like Physics, Chemistry, and Mathematics/Biology as part of their curriculum. Admission to the BSc program at the college is based on merit, and candidates may also need to clear entrance exams or interviews as per the college's guidelines. It is important for applicants to check the specific eligibility criteria and admission process set by the college before applying for the BSc degree program.