To be eligible for the BSc degree program at Vasantrao Kale Senior College in Nanded, candidates must have completed their 10+2 education with a minimum of 50% aggregate marks in the science stream from a recognized board. Additionally, candidates must have studied subjects like Physics, Chemistry, and Mathematics/Biology as part of their curriculum. Admission to the program may also be subject to entrance exams or interviews conducted by the college. Prospective students are encouraged to check the college website for specific eligibility criteria and application details.