Hello aspirant,
I hope that you are doing well. Yes you can get private seat in 291 marks. Your score should be above 560 to get government seat for mbbs in state quota. Although getting mbbs seat depends upon various factors like number of students appeared in the exam, difficulty level of exam, AIQ rank, category, region, state, state rank,etc. But You can try for private seat through state quota.
If you want to predict your rank in accordance with your marks then follow the given link:-

https://medicine.careers360.com/neet-rank-predictor?utm_source=qna&utm_medium=neet_rp

If you want to predict the college according to your rank 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 and have a bright future ahead.

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