Hi Gaurav,

As per your rank, you are eligible for:

*Harcourt Butler Technical University, Kanpur

*Institute of Engineering and Technology, Lucknow

*Bundelkhand Institute of Engineering and Technology, Jhansi

*Kamla Nehru Institute of Technology, Sultanpur

Thank you and best of luck.

Sorry to say but with this rank it is very difficult to get a seat in any government college under any subject as for that you need to score a rank below 2k but don't you worry you'll easily be able to get admission into some good private colleges of upsee like,

• Ajay Kumar Garg engineering college
• Galgotias college of engineering and technology 
• JSS, Noida
• ABES
• KIET

You can youself check what other colleges you might get with this rank with the help of upsee college predictor 

https://engineering.careers360.com/upsee-college-predictor

good luck