You are in your final year of Third Year BSc in IT with 5 years of telecom and finance experience.
Railways generally have recruitment from Group A to Group- D. Railways some times have a clause for working in the Railways Engineering Units of Territorial Army. Please check that when you narrow down your job application.
Currently IT graduates in Railways can focus on areas of Automation,systems management and network designing. The common jobs for BSc IT graduates are grouped under Section Engineer,Junior Engineer,System Analyst,IT Officer,Technical Assistant,Controller Officer,Assistant Manager,Project Manager
The railway recruitment is via UPSC for Group A and RRB (Railway Recruitment Board) for group C posts.Group B posts are often filled in by Group C promotions. In Indian Railways a minimum graduation is eligible for recruitment for most jobs.
UPSC exams for Group A posts are under the following
1.Civil Services Examination for
Indian Railway Traffic Service(IRTS)
Indian Railway Personnel Service (IRPS)
Indian Railway Accounts Service (IRAS)
Railway Protection Force
2.Enginnering Services Examination for:
Indian Railway Service of Engineers (IRSE)
Indian Railway Service of Mechanical Engineers(IRSME)
Indian Railway Service of Electrical Engineers(IRSEE)
Indian Railway Service of Signal Engineers(IRSEE)
Indian Railway Stores Service (IRSS)
Since you have a finance background, you can look at exams for the Indian Railway Accounts Service (IARS) is a civil Service conducted by UPSC. IRAS officers usually handled the accounts and finances in the Indian Railways.You can get more details from (https://www.careerindia.com/upsc/iras-exam-e9.html). You can also check under Railway stores services (IRSS) for Depot Material management jobs that include inventories and data handling or Indian Railway Traffic Service (IRTS).
Once you look under the various heading mentioned above, you would be able to understand better. Most Railways jobs have a high level of competition. Authenticity of documents especially degrees, caste and age are mandatory. Most again need medical examination/ check-ups. Good luck