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Hello Aspirant,
According to the percentile you have mentioned in the question your son's approximate rank would be near about 85,000 and on the basis of this rank and category it is very difficult to get NIT Hamirpur with any branch. Note that this prediction is based on previous year's cut-off because cut-offs for this year has not released yet and cut-offs are bound to change every year depending upon various factors so any assurity cannot be given.
You can also check the previous year's cut-off for NIT Hamirpur from the link given below :-
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-hamirpur
B.Tech/B.Arch Admissions OPEN
However I would recommend you to use JEE-Main College Predictor to predict your college more precisely based on your percentile and category :-
https://engineering.careers360.com/jee-main-college-predictor?ici=cp-listing_engineering&icn=JEE-Main-College-Predictor
I hope this information helps you.
Good Luck!!
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