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Dear aspirant,
According to previous years cut off analysis which is subjective as cut off ranks change every year depending upon no of applicants , level of difficulty of mains this year etc etc with a rank of 61259 you will have no-meagre chances of getting into nits from other state quota, since you have not mentioned any category also you might have a chance from your home state NIT especially at hamirpur,srinagar ,manipur etc etc ,so you might /might not have a chance it will completely depend on this years merit fallout, home state, category so nothing can be predicted with 100% sureity.
Also for more analysis regarding which colleges you cn get with above ranks you can use the following tool https://engineering.careers360.com/jee-main-college-predictor
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