Hello,
Top engineering institutes accepting JEE mains are
National institute of technology warangal
Chaitanya bharathi institute of technology, hyderabad
ICFAI foundation for higher education
Anurag group of institution, ghatkesar
Gur nanak institution technical campus ibrahimpatnam
ACE engineering college, ghatkeskar
Marri laxman reddy institute of technology and management Hyderabad
Top colleges through JEE mains are NITs but they have a huge competition and high cutoff so it is hard to tell if you can get into it but you can try other private or deemed universities.
In order to know which college you can get with your score and rank in JEE mains, you can use college predictor tool of careers360
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
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