To be eligible for the BSc degree program at Government Science and Commerce College in Bhopal, candidates must have completed their 10+2 education with a minimum of 50% aggregate marks in the science stream. Additionally, students must have studied subjects like Physics, Chemistry, and Mathematics or Biology as part of their curriculum. Admission to the program is based on merit, with a certain number of seats reserved for students from marginalized communities as per government regulations. Candidates may also need to pass an entrance exam or interview conducted by the college to secure a seat in the BSc program.