It’s to avail a concession
These facilities are extended to men who are a minimum of 60 years and women of minimum 58 years of age. They are granted concession in fares of all classes of trains. The concession is 40% of the fare for men and 50% of the fare for women.
So according to you if you were born 1961 so in 2018 your age is 57 years.
Yes you will get senior citizen quota seat as you are 57 year old female but please make sure you will get only quota not concession.
Female passenger above 45 years travelling alone are eligible for senior citizen quota only not the concession.
You will get seat under this quota if you are travelling alone