NIT

With a JEE Mains percentile of 96.84 and belonging to the OBC category, you have a good chance of getting admitted to a good NIT with a decent branch. Your rank is likely to be within the range of 30,000 to 35,000, which is competitive but achievable for NIT admissions. 

With an 89.1 percentile in JEE Main and an OBC-NCL rank of 53502, there's a good chance of getting a seat in some NITs, but getting into an IIT requires a higher percentile and ranking. While an 89.1 percentile might not be sufficient for the top NITs, it can still lead to admission in newer or less-demanding NITs. To increase your chances, consider participating in the Central Seat Allocation Board (CSAB) counselling, as it may offer better options. 

With a 90 percentile in JEE Mains and an OBC rank of 49k, you have a good chance of getting into some NITs and IIITs for a B.Tech, particularly in less competitive branches. You may also need to consider NITs with broader admission criteria or those that prioritize state quotas, as well as IIITs with similar admission standards. NITs like Durgapur, Jalandhar, raipur might be possible. 

With a CRL rank of 75,000 and OBC-NCL category rank of 23,000, you might have a chance at securing a seat in some NITs, especially in the "lower-ranked" ones or those with less competitive branches. However, securing a seat in a highly sought-after branch like Computer Science or in a top NIT like NIT Trichy or Warangal will be challenging. Your prospects are significantly improved by the Bihar state quota and the OBC-NCL category. 

Yes, it's likely you can get into some NITs with a 92 percentile in JEE Main as an OBC candidate, especially for branches like Mechanical, Civil, or other non-top choices. While getting into a top-ranked NIT like Trichy with CSE or ECE might be challenging, you have a good chance at other NITs and possibly even a better chance at some newer or less competitive NITs.