Hey,

With 440 marks, you may get a rank between 90825-99323. You can check it here https://medicine.careers360.com/articles/neet-result-marks-vs-rank

Since you did not mention your category, I am assuming you are of general category.

Last year the cut off for medical colleges under 100% State Quota was 476 for general category. So based on this, it is difficult for you to get a medical seat under state quota. However, you can get a seat in Institute of Dental Sciences, Sephora, Jammu since previous year its cut off was 351. To know more about J&K NEET cut off, check here https://medicine.careers360.com/articles/neet-cutoff-j-k

To get a list of colleges in which you can get a MBBS/BDS seat, you can use NEET College Predictor https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer