To be eligible for the BSc degree program at Shri Ganesh Rai Post Graduate College in Jaunpur, candidates must have completed their 10+2 education with a minimum aggregate of 50% in the science stream. Additionally, applicants must have studied subjects like Physics, Chemistry, and Mathematics/Biology as part of their curriculum. Admissions are granted based on merit, and candidates may also need to clear an entrance exam conducted by the college. It is important for students to meet the eligibility criteria to ensure a smooth application process and successful enrollment in the BSc program at Shri Ganesh Rai Post Graduate College.