• State Engineering entrance examination like: UPSEE, BCECE, CG PET, GCET, GUICET, etc
• Indian institute of Space & Technology Admission Test(ISAT).
• COMEDK
• AP EAMCET for Jawaharlal Nehru Technological University.
• Karnataka Common Entrance Test(KCET).

Archana, 

There are much more government colleges you can opt for. 

You can apply for OJEE, (orissa jee). 

You can fill the form of MHCET.  they have some seat reserve for other states students. 

You may give IPU CET or you may give TNEA. 

IPU CET is for IPU DELHI. 

TNEA is for tamil nadu colleges.

They are some major colleges you can opt for the rest of government colleges are in too bad condition. 

It would be better if you join private rather than those colleges.

Most of government colleges nowadays accept jee mains score. 

Only state level colleges accept state entrance exam but they are not good for engineering. 

I would suggest you either get college through jee mains.  Or apply comedk exam through that you will get best of the colleges of Banglore.

Hope it helps.