To be eligible for a BA degree at Sri Mahesh Prasad Degree College, Lucknow, candidates must have completed their 10+2 education from a recognized board with a minimum aggregate of 50%. Additionally, candidates must meet the age requirement set by the college and must pass the entrance exam conducted by the college. Meeting these criteria will ensure that the candidates have the necessary academic background and skills to successfully pursue a BA degree at Sri Mahesh Prasad Degree College, Lucknow.