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Hi ,
Based on your category rank, under All India seat you might NOT be able to get into majority of NIT or IIITs under Other State quota. However, you may have a good chance in Home State quota depending on the state. I will advice you to use our College Predictor tool for JEE Mains to help you in finding college and branch of your choice based on your merits in the exam.
Good Luck
Because you got a CRL rank of 177700 in JEE mains 2020 from the obc category, your prospects of getting a seat in NITs or any iiits in the csab special round counselling are little to none.
According to your profile, I presume your son is from Jharkhand; thus, even if you apply for home state quota, you will not be able to obtain any branch nit Jamshedpur in the csab special round counselling.
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