As per your score and previous year cutoff, the colleges you get in first round are:-

IIT Bombay Metallurgical Engineering and Materials Science Materials Science

IIT Bombay Metallurgical Engineering and Materials Science Corrosion Science and Engineering

IIT Bombay Metallurgical Engineering and Materials Science Process Engineering

Punjab Engineering College Chandigarh Department of Production & Industrial Engineering Production & Industrial Engineering

Punjab Engineering College Chandigarh Inter Disciplinary Department Total Quality Management

National Institute of Technology Patna Department of Mechanical Engineering Production Engineering

National Institute of Technology Patna Department of Mechanical Engineering Thermal Engineering

To know more about your chances of getting other colleges check out the PSU/college predictor link below:

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

Hi Raj,

You have a decent Score! Following are the NIT's you can with 472 or below

1.NIT, Silchar( Computer Science and Engineering /You can give it try / Last year Cutoff was around 515-409)

2.NIT, Trichy(MME/You can get and ME Cutoff was around 743-714)

3.NIT, Rourkela(Chemical Engineering )

4.NIT, Raipur(Chemical Engineering)

5.NIT, Patna (CSE)

6.NIT, Kurukshetra(ECE)

7.NIT, Agartala(CSE & CHE)

8.NIT, Sikkim(CSE)

9.NIT, Puducherry(CSE)

10.MNNIT, Allahabad(CSE & CHE)

Note: It wasn't Possible to find NIT's for ME Since your Score is low for Eligibility, Hope it helps.