Hi Kashif,
It completely depends on your rank whether you'll be able to get a government college or not. If you mention your rank then I will be able to help you further.
You can also use this link https://www.careers360.com/wbjee-college-predictor to know which colleges you might get with your rank.
The last date for online registration, creation of password and payment of registration fees for WBJEE counselling is 29.06.2019. You will also have to be ready with your choices by 30th June as it is the last day for locking your choices. The rank predictor will help you to shortlist the government colleges where you can get admission with your rank.

For more details regarding WBJEE counselling, you can visit https://engineering.careers360.com/articles/wbjee-counselling .

All the best!

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