You must appear for the JEE, BITSAT, VIT and your state Engineering entrance exams

I think that you must appear for the competitive exams like JEE mains once you clear this then you can give the JEE advanced exam also apart from that you must appear for the exams like BITSAT, IPU,WBJEE,VITEEE like competitive exams for engg.
These competitive exam could help you in getting your dream college
All the best