Hello student,
Yes, With a rank of 8,413 in obc category, you have chances of procuring a seat in the IHM Thiruvananthapuram in the first round when comparing the results of previous years. Last year, the closing ranks for IHM Thiruvananthapuram was around 13,000 in obc category. So, no worries! 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

IHM Pusa

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