I have scored 78.8% marks in 10+2(n.m.) how can i got admission in any govt. enginnering colg. for btch in m.e. or civil eng.

I have complete my 10+2 with 78.8% marks in non medical.how can i get admission in govt .engineering colg for b.tech in mechanical or civil eng. with out appearing in JEE ,AIEEE or othr compatitive exams?