Hi Roshan Kumar Sharma !

The minimum requirement for being eligible for ESE examination is graduation . Final year students can also apply for the prelims exam . You can appear even after pursuing those mentioned courses . But the most important thing is that there is also an age criteria which you must fulfil in order to appear in this examination .

You can visit the link given below for further details :-

https://competition.careers360.com/articles/upsc-ese-eligibility-criteria