hello amartya,

yes, you can give jee main entrance exam.since it is the engineering entrance exam,you've to withdraw your b.sc course after qualified in jee main.to know more details and important details of jee main,please refer this link:

https://engineering.careers360.com/exams/jee-main

And there many best and top engineering colleges available in india,can you specify the location in which you're prefer otherwise refer this link:

https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-india-accepting-jee-main

I Hope this information will be useful to you.

if you need additional information,let us know to help you.

Thank you!!!:)