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Hello Aspirant,
Actually the concerned authority has not released the cut-off marks for the particular NITs and IIITs, so it's quite difficult for us to tell about the precise cut-off marks of those institutions. Nevertheless according to our assumption, it can be estimated that with this rank it's one type of impossible to get chance in any reputed NIIT and IIIT through JoSAA and also even through State level Counselling (i.e. you can't take admission in NIT Patna also through your State qouta as the last year's cutoff (OBC category) rank was 14266 where your rank is 49k). You can also check the following links:
https://engineering.careers360.com/articles/jee-main-cutoff-for-top- nits
https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits
However don't worry. Your rank is perfectly suitable for few State Government Engineering colleges and many top Private colleges in Bihar, so I guess you've applied for State Level Counselling which has already started.
Predict your chances here
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Best wishes.
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