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Hi aspirant, since you have 139000 rank also you have reserve category rank 41638, so on behalf of the information provided by you can enroll yourself in the following some top colleges for admission(including Government and private colleges);
Etc.
Fir more colleges visit the below mentioned link;
https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp
B.Tech/B.Arch Admissions OPEN
Thank You
Hey Aspirant,
Here's a list of few Government Engineering Colleges in Bihar with their closing ranks-
B.Tech Chemical Engineering- 12130
B.Tech Civil Engineering- 12184
B.Tech Computer Science and Engineering- 2719
B.Tech Electrical and Electronics Engineering- 6796
B.Tech Mechanical Engineering- 8760
B.Tech Electronics and Communication Engineering- 21706
B.Tech Civil Engineering- 44293
B.Tech Computer Science and Engineering- 15396
B.Tech Electrical Engineering- 30687
B.Tech Mechanical Engineering- 35838
Note: These are closing ranks for General category which means you must obtain ranks under/better than these to secure a seat.
For knowing more about your chances in Government Colleges you can use this college predictor tool-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer Hope this helps.
Goodluck!
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