Hello student,
You have not mentioned which category you belong to. With a rank of 5,112 ,considering your category to be general, you have chances of procuring a seat in the following IHM's when comparing the results of previous years

• IHM. Hajipur
• IHM Gurdaspur
• IHM Shillong
• IHM Srinagar
• IHM Thiruvananthapuram

The above mentioned institutes are state government IHM's. But, 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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