Hello Aayush, 

Look, as you know that number of students applying for this exam is too high, so try to be fast while applying for colleges. Based on your rank branches you can get are Mechanical, Electrical,  Civil etc..

Now some of the good colleges where you can apply are:

Dr Ambedkar Institute of Technology,

KIET group of institution

Galgotias College of engineering

Government Engineering College,

JSS Academy of technical education,

Rajkiya Engineering college,

For more colleges, you can check the following link. 

https://engineering.careers360.com/college-predictor-result/50032?s=65919709051527703820

I would also suggest you, read reviews of other students of the college of your choice. It will help you to know more about that college education system, Placements etc. 

Hope you find this information useful. Have a great future ahead.