NEET Scores

The National Eligibility and Entrance Test (NEE) conducted by NTA is the sole entrance test for admission to MBBS and BDS courses in many government colleges. Aspirants seeking admission in government colleges for MBBS usually need to score more than 580 for the general category. Since you have not mentioned your home state, category, or rank, it is difficult to accurately predict college because the category-wise cut-off varies for every state. However, with 586 marks, you have a fair chance at some government medical colleges in states like Uttar Pradesh. For example, Ganesh Shankar Vidyarthi Memorial Medical College, Kanpur; Maharani Laxmi Bai Medical College, Jhansi; and Government Medical College, Ambedkar Nagar, had cutoffs around or less than 580 in 2021. You may also get admission to selected colleges like Swami Ramanand Teerth Rural Government Medical College in Maharashtra.
Please note that this estimate is based on previous year's statistics. The cutoffs for MBBS change every year depending on various factors, like the number of seats available.
Alternatively, you can use the Shiksha platform's NEET College Predictor 2022 (https://www.shiksha.com/medicine-and-health-sciences/neet-college-predictor) to get more specific recommendations based on courses, state, and rank. Here you need to enter your NEET rank, gender, category, and domicile to get recommendations of possible good colleges.

Grant Medical College (GMC), Mumbai, is one of the oldest medical colleges in the state of Maharashtra, and it is affiliated with the Maharashtra University of Health Sciences in Nashik. For B.Sc. in nursing, the NEET score is not mandatory. B.Sc. Nursing is a four-year full-time programme. A total of 50 seats are available for this particular course. The eligibility criteria are:
10+2 in PCB and English Core/English Elective with an aggregate of 45 percent marks from a recognised board. And for other Students who passed the NIOS 10+2 Science examination with 45 percent marks. The minimum age is 17 years on December 31st of the admission year. If you want to get admission on the basis of NEET at any particular institution, a score of 250 or higher will sufficient.

As you have not mentioned your category I am assuming you are from general category
It's quite difficult to predict whether you will get seat or not as cut off marks for medical colleges keeps changing every year depending upon various factors like number of students that appeared in the exam, kind of marks obtained by them, toughness level of the examination etc. Anyway, when we go through previous data then
With 492 marks, you have a low chance for MBBS in a government college. In NEET 2021, 577 marks for general category was the lowest marks to get a seat in government medical college under Bihar state quota and it was for Government Medical College, Bettiah.

Hi shruti, first of all congratulations for good getting a good score, In NEET 2021 state quota counseling cut off marks in government medical for studying MBBS for EWS category students was AIR 19340 ( marks approximately 600-605) in second round counseling. As according to initial analysis paper was almost moderate level of difficulties and same as last year, so there are very less chances that there will be more decrease or increase in cut off marks. Although you can try your best upto mop round of counseling for MBBS or BDS government seat. You have great chances of getting good government B.A. MS college in all india AYUSH counseling, you can go for top colleges like bhu Varanasi, NIA Jaipur etc. All the best. If you like please upvote the answer.