Hello aspirant, 

Well yes you may get a government medical college in haryana with that score. According to the last year's cutoff the minimum scoring student that got admission in haryana was 486. So you will definitely get a decent college if you apply via state quota.

Thank you 

Hello Myra, first of all congratulations for scoring 502 marks in NEET under general category. Based on your score in NEET, you can get a seat in Pt Bhagwat Dayal Sharma Post Graduate institute of medical sciences last year's cut off was 486 under state quota.

Hope this answer gives you the information you required.