To be eligible for the BSc degree program at Shantiniketan Women's College in Hyderabad, candidates must have completed their 10+2 education with a minimum aggregate of 50% in the science stream from a recognized board. Additionally, candidates must have a strong foundation in subjects like Physics, Chemistry, and Mathematics. Admission to the program is based on merit, and candidates may also be required to appear for an entrance exam or interview conducted by the college. It is important for applicants to meet the eligibility criteria and submit all necessary documents for consideration.