Hey.
For admission in NIT Surathkal, you don't seem to have much chances under the other state quota as well as the home state quota, considering that your OBC NCL rank is 13978 as per the previous year trends. At the least you only might have chances for Metallurgical and Materials Engineering under the home state quota only as per the previous year trends. Other that this for admision in NIT Surathkal, your chances seem bleak. You do have fair chances for other branches in other NITs.
You can use the link below to check all the previous year trends.
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-surathkal
Best of luck

NIT Surathkal (NITK)

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