Which government college can I get for either of the course; SE, Electrical, mechanical, IT, Mathematics and computing?

Yes, you can gain admission at Vishwakarma Government Engineering College with a JEE Main rank of 4000 if you belong to the OBC category under the All India category. 

The VGEC JEE Main cutoff 2025 ranged from 900523 to 905928, according to the first and last round closing ranks. B.E. in Co

There is no decided cutoff for JEE Main for admission in HKBK College of Engineering. The BTech admission in HKBK is based on JEE merit and available seats. However, for candidates who get a decent percentile, there is a benefit in their favor. 

Yes, you can get a seat at Vishwakarma Government Engineering College with a JEE Main rank of 20000 if you belong to the General AI category. For this category, the overall VGEC JEE Main cutoff 2025 ranged from 900116 to 903773. Hence, a rank of 20000 might get you admission to this college. 

If

If you are unable to check JEE Main result, then don't worry. This happens due to high traffic on website. Wait for a few moments and try later.

NTA will cancel the JEE Mains results and debar any candidate who cheats, switches assigned centres, uses a proxy, or attempts the same exam session multiple times.