Hello Aspirant,
See after round 2nd of NEET UG counselling of Rajasthan you cannot apply for upgradation, either you will have to accept the seat or you should leave the counselling with forfeiture of your security money and for Mop-up round you will have to freshly register yourself.
As far as your rank and score of NEET UG 2021 is concerned, so on such score you have good chances of getting government quota seat in MGMC Jaipur if you belongs to Rajasthan as last year the closing cut-off was 300 marks for ST category. So you have good chances of getting it in round 2nd.
For more details kindly check out the link given below :-
NEET 2021 Cutoff Rajasthan for MBBS/BDS (2020, 2019, 2018, 2017) (careers360.com)
Note that the above prediction is made on the basis of previous year's cut-off and the cut-offs are bound to change every year depending upon various factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.
To have a list of all those colleges which you can get based upon your marks, category, and state you can use NEET College Predictor because it will make you comfortable while choice filling in counselling :-
https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer
NEET 2021 Cut-off goes like :-
-->>> General - 50th percentile - 720-138 marks
-->>> SC/ST/OBC - 40th percentile - 137-108 marks
-->>> General-PwD - 45th percentile - 137-122 marks
-->>> SC/ST/OBC-PwD - 40th percentile - 121-108 marks
You can check out complete details regarding NEET qualifying cut-offs from the link given below :-
https://medicine.careers360.com/articles/neet-cut-off
If you want to prepare further for NEET 2022 then to help you in your preparation we have some resources which you can access from the link given below :-
https://learn.careers360.com/knockout-neet-may
I hope this information helps you.
Good Luck!!
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