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Hi aspirant...!
Hope you're doing great...!
So, with regard of you're query. For the percentile of77. you'll be qualify for JEE advance examination. Because, in the pervious year's the cut off in OBC region was 68 in 2021 and 72 percentile in 2020. you'll be secure a rank around 1.7lakh-2.05 lakh in general category and In OBC category around 61k- 70K.
You can predict the NIT's and IIIT's colleges in Tamilnadu from the link that I am providing you below:
https://engineering.careers360.com/jee-main-college-predictor?utm_source=clevertap&utm_medium=clevertap-sticky&utm_campaign=jee-main-qna-web-wap
Hope this will helps you...!
GOOD LUCK...!
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