Dear Aspirant,
You can go through this link to check colleges and their cutoff
https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/articles/wbjee-cutoff/amp&ved=2ahUKEwjsmpat0JHjAhWMK48KHUsXCJ8QFjAOegQICRAB&usg=AOvVaw0oKi3F5JzAbrtqB4WCCTEk&ampcf=1
Thankyou

Hello gopal
Yes you are eligible for taking admission in mechanical engineering.
You may also get some good colleges too.
To predict the best college suited to you visit the given link

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

All the best!

Your rank is fine but for wbjee only top government colleges are good. Unless top government college is allotted its not worth studying from there , it would be better to seek admission in some other college because lower bodies of wbjee does not hold good for anything its just a wastage.

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

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