I got 6006 rank in OBC, in jee main, which college I can prefer to go in either CSE or ECE ?

As both CSE and ECE are most demanding branches in Engineering and have higher scope. Where as CSE have higher demand than CSE because we know the technology having the vast amount of jobs and we have different branches from CSE. As I prefer to go through the CSE than ECE. As After your choice.

The following colleges having the chances ;

1. NIT Patna
2. IIT Lucknow
3. NIT Puducherry
4. Agni College of Technology
5. IIEST Shibpur

For more details follow the below link :

College Predictor 2021 - Predict Colleges for Engineering, Medical, Law and More

College Predictors – Know your College Admission Chances Based on your Rank/Percentile, Home State, Caste, Gender, Exam Result & Get your Pe ...

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For your 6006 OBC rank, you have wide range of choice in different college.  There are many available choice in form of NITs, IIITs ,CFTIs and also many possible branches.

Except for CSE you will get all other branch in some college. Some of possible college includes-NIT patna, jamshedpur,  durgapur, rouerkela, jaipur, surat , nagpur etc..

You can predict  all college along with branch using this predictor- https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer

Hope it helps