To be eligible for a BA degree at Matushri Virbaima Mahila Arts College in Rajkot, candidates must have completed their 10+2 education from a recognized board or equivalent. Additionally, they must meet the minimum percentage requirement set by the college for admission. The college may also conduct an entrance exam or interview as part of the selection process. It is important for applicants to check the specific eligibility criteria and admission guidelines provided by the college before applying for the BA program.