I got 96.7 percentile in jee main general category can I expect nit branch ECE or EEE
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Seeing the past trends it is difficult to get ECE or EEE in any of the top NITs. Your rank must be around 37k. But you may have a chance in some of the lower ranked NITs such as NIT Srinagar, NIT Mizoram, NIT Sikkim, etc. However it depend on your home state too. For instance if you belong to Maharashtra then you will have the added benefit of your home state quota only in NIT Nagpur.
Here's the past trends for NITs
https://engineering.careers360.com/articles/nits-cutoff-for-btech-electronics-communication-engineering
https://engineering.careers360.com/articles/nits-cutoff-for-btech-electrical-and-electronics-engineering
Yes, you definitely have chances of getting admission in top NITs with ECE or EEE branch based on your jee mains percentile score. You can predict your chances from the below given college predictor tool link:
https://engineering.careers360.com/jee-main-college-predictor
Good luck.
JEE Main 2025 College Predictor
Know your college admission chances in NITs, IIITs and CFTIs, many States/ Institutes based on your JEE Main result by using JEE Main 2025 College Predictor.