Hi dear,

Hope you are doing well!

Now let's go through your question.

As you will be knowing that all the participating institution will release their own cut offs for each of the programs after the declaration of results.

And the cutoff score varies each year based on the difficulty level of the paper and the availability of seats as well as the overall performance of the candidates appearing for the examination.

Factors affecting the Cutoffs:

• Number of students who appear for exam
• Level of difficulty of exam
• Total number of seats available 

Note:

A total of 36,000 seats are expected to be filled in 104 participating colleges of  WBJEE this year.

And here are some of the top colleges that admit students on the basis of their score in WBJEE:

• Jadavpur University
• University of Calcutta
• UIT Burdwan
• Kalyani Govt. Engg. College
• Coochbehar Govt. Engg. College
• Jalpaiguri Govt. Engg. College

You have definitely a chance in government Engineering colleges as per as your rank though I recommend you to visit this link to know Cutoffs of each and every colleges with branches:

https://engineering.careers360.com/articles/wbjee-cutoff

(Just copy and paste the link in a new tab)

Thank You & All the best!

Careers360 presents the college predictor of WBJEE 2019 which will help candidates list down the colleges for which they will be eligible according to their performance in the examination. WBJEE 2019 college predictor has been activated. To use the college predictor, the candidates will be required to submit their WBJEE ranks, preferences and more information. The list of colleges according to chances of admission will be listed by the college predictor of WBJEE 2019

https://www.careers360.com/wbjee-college-predictor

You can't get any Government Engineering school under WBJEE who has a cut off of 29k position. 

For the most part, all administration designing schools get filled by 10k max. 

The 10k imprint's Government Engineering universities incorporate:- 

1.Purulia Government Engineering College 

2.Coochbehar Government Engineering College 

What's more, they are essentially an exceptionally new school and none of the clumps has gone out. So you can't get information about the arrangement scene going on. 

With 29k GMR rank in WBJEE, you may pick some between the best Private building schools after IEM, TISL, Heritage 

Those are:- 

1.BP Poddar Institute of Technology 

2.Techno India International Newtown 

3.Netaji Subhas Engineering College 

These are some best schools in about 16k+ positions in WBJEE.