Yes you will get PSU with this rank.

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

IIT Kharagpur         Electronics and Electrical Communication Engineering Micro Electronics and VLSI Design         

IIT Delhi       VLSI Tool Design & Technology   VLSI Tool Design & Technology  

IIT Madras    Electrical Engineering        Micro Electronics and VLSI Design        

IIT Hyderabad        Electrical Engineering        Micro Electronics & VLSI   

IIT Indore     Electrical Engineering        VLSI Design and Nano electronics         

IIT Patna      Electrical Engineering        VLSI and Embedded System      

IIT Mandi      School of Computing and Electrical Engineering         VLSI  

IIT ISM Dhanbad    Electronics Engineering     VLSI Design

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