Science

Institute of Technical and Professional Studies, Bhubaneswar does offer a distance M.Sc. For details regarding this course please refer to the link provided below:
https://www.shiksha.com/science/course/distance-m-sc-institute-of-technical-and-professional-studies-bhubaneswar-154530

For admission to B.Sc. General or honour's, 10+2 with Science either in non-medical or medical subjects with at least 50% marks are required. For masters degree, a Bachelor degree with Geology as one of the subject is r required with minimum 50% marks and for Ph.D. there is a requirement of at least 55% marks in master degree. However, the rules for admission to Bachelor, Masters and research degree vary from university to university/institutes. So I think you should go on for some other course which your stream allows.

No, you can't study geology because the basic criteria is the candidate should past 10+2 with Science stream subjects from a recognised board minimum aggregate marks required in main science stream (PCM/B) is around 55% marks.