The eligibility criteria for pursuing an M.Sc. (Master of Science) degree at Devaswom Board College in India require candidates to have completed a bachelor's degree in a relevant field of study, such as Physics, Chemistry, Mathematics, or Biology, from a recognized university. Additionally, applicants must have obtained a minimum aggregate score of 50% or above in their undergraduate program. It is important for candidates to note that the specific eligibility criteria may vary depending on the specialization they wish to pursue within the M.Sc. program. Therefore, it is advisable to refer to the college's official website or prospectus for detailed information on the eligibility requirements for each specialization.