In order to take admission in engineering you can appear for various entrance exam like JEE (Main+ Advanced) to take admission in IITs/NITs/IIITs and GFTIs.

In order to take admission in these colleges you should have 75% marsk in your boards exam or you should be in top 20 percentile. 

For SC/St you should have 65% marks.

To take admission in top private colleges you should appear in BITSAT, VITEEE, Manipal, SRMJEE and Amrita.

You can also appear in your state level entrance exam to take admission in your state government colleges.

Make sure you take admission in top colleges of engineering to get good exposure, knowledge and placements.

Good Luck!!