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You can not get a CRL of 13k with 96.6 percentile, so please mention the correct information. However you can check out the cutoff for the different colleges here
https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches/amp&ved=2ahUKEwi1nMWxoO3iAhWZbysKHZKtBDEQFjACegQICRAB&usg=AOvVaw2OXl9cMS4B7GJ9DfTIJZCg&cf=1
Good luck!
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