Hello student,
With a rank of 12,876 in open category, you may get the following colleges when comparing the results of previous years

• SIHM yamuna nagar, Haryana
• SIHM Telangana

These are the state government institutes which you can get with your rank. Otherwise you can get any private colleges. 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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