Hi Aspirant,
Since,you have scored 363/500 in 12th which is above 75%,you are eligible to get admission through Mains as well.
However,if you do not want to get through it or haven't filled up the form,then there are many exams which can land you up either with a government or a private college.
Many state level exams are there which you can easily go for.
Also,you will be eligible for the branch of your choice if you perform well in the exam and meet their cutoffs.
Do well.
Hope this helps.