To be eligible for a BA degree at Kanhaiya Smarak Mahavidyalay, Ballia, candidates must have completed their 10+2 education from a recognized board or equivalent. Additionally, they must meet the minimum required marks in their qualifying examination as specified by the college. Admission may also be subject to entrance exams or interviews conducted by the college. It is important for applicants to carefully review the specific eligibility criteria and admission process outlined by the college before applying for the BA program.