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Hello Akhilan,
NIT Calicut is one of the best NITs of India. As you mentioned, your percentile and category rank, based on previous year cut-offs, there are little to no chances that you will get this college.
Please go through the below link to find the year wise and branch wise cut-off of this institute.
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-calicut
As you can see: your rank should be around 2k for getting this institute(based on previous year records).
You may go for other NITs, which have a low cut-off such as that of North-Eastern NITs, as they generally have a high cut-off.
Hope this Helps
Regards.
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