hii ,

yes you can get government colleges

• shivpuri institute of technology
• vikram institute of technology

also check the colleges through state quote you may get some more colleges

for more colleges use the jee college predictor tool - https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

Hi

It's quite difficult to predict because cutoff keeps changing every year depending upon various factors like :-

******number of students that appeared in the  jee main exam,

****** number of available seats,

****** performance of different students in the examination,

****** the category you belong etc.

But yes,

When we go through previous year trend then

>>>>>> With  504000 rank

You have low chances in NITs / IIITs /GFTs in josaa.

You have chances in  some of the lower government engineering colleges which are listed below along with the link for their previous year cut off  :--

-------) Dr APJ Abdul Kalam UIT Rajiv Gandhi Proudyogiki Vishwavidyalaya, Jhabua :- https://www.careers360.com/colleges/dr-apj-abdul-kalam-uit-rajiv-gandhi-proudyogiki-vishwavidyalaya-jhabua/cut-off

-------) Vikram University, Ujjain :- https://www.careers360.com/university/vikram-university-ujjain/cut-off

-------) Institute of People's Science and Technology, Chitrakoot :- https://www.careers360.com/colleges/institute-of-peoples-science-and-technology-chitrakoot/cut-off

-------) University Institute of Technology Rajiv Gandhi Proudyogiki Vishwavidyalaya, Shahdol:- https://www.careers360.com/colleges/university-institute-of-technology-rajiv-gandhi-proudyogiki-vishwavidyalaya-shahdol/cut-off

And more

This prediction of colleges is  based of past year data but  cut off or closing rank changes every year depending upon many factors like the number of students that give the examination, difficulty level of the JEE main  for different shifts etc so

To have a personalised report on your chances of getting a college you can go through our college predictor, it will give you complete list of colleges which you can get on the basis of the category you belong to,  your home state, your gender etc, the link for  jee main college predictor is provided below

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Thank you