Hello aspirant,
I hope that you are doing well. If the college is alloted to you in 1st and 2nd round then you can't take part in the mop up round counselling.
But if you didn't allotted any college in the 1st and 2nd round then you can go for mop up round.

If you want to predict your rank then follow the given link:-
https://medicine.careers360.com/neet-rank-predictor?utm_source=qna&utm_medium=neet_rp

If you want to predict college then follow the given link:-
https://medicine.careers360.com/neet-college-predictor?utm_source=qna&utm_medium=neet_cp

Hope this information will help you.
Good luck!

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