Hello student,
With a rank of 4,033 in NCHM, you have chances of procuring a seat in the following colleges when comparing the results of previous years. These results are for general category as you have not mentioned which category you belong to .

• IHM Gurdaspur
• IHM Gwalior
• IHM Guwahati
• IHM Hajipur
• IHM Shillong
• IHM Srinagar
• IHM Thiruvananthapuram

The above mentioned colleges are central government IHM's. Also,  one thing to keep in mind is that scores and ranks vary each year with difficulty level of the question paper and availability of seats. However you can predict the colleges which you are likely to get using the given link

https://hospitality.careers360.com/nchm-jee-college-predictor

Good luck

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