Dear student,

As you have secured 5210 rank in sc category, then congratulations that you get nit agaratala mechanical engineering in round 1 of josaa counseling.
Now as your preferred college is nit patna, then there is a chance that before round 5 counselling, you can get nit patna. As you said that the cutoff closing rank for round 1 is for mechanical engineering ( for other state candidates) is 4814, then according to me you should get mechanical engineering in further rounds.
Because as per seeing the last year's rate of increase of cutoff closing ranks for mechanical engineering in nit patna, there is a chance that this year also due to the increment of cutoff closing ranks, you can get nit patna.

So, you must use float option. You previously alloted seat will remain with you and if you get mechanical engineering in nit patna, then you can switch to it.

Also check out our jee mains college predictor tool to get an appropriate idea of colleges that you can get on basis of your jee mains rank :-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

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