Dear Aspirant,
Yes,you can take admission in complete science engineering.
You will get admission in private engineer college.
You can check colleges and their cutoffs through this link
https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/articles/wbjee-cutoff/amp&ved=2ahUKEwjHkPX66ffiAhXCXSsKHVs1C4wQFjAEegQICRAB&usg=AOvVaw0oKi3F5JzAbrtqB4WCCTEk&ampcf=1
You can check your colleges on the basis of jee main score also.go through this link
https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/articles/top-engineering-colleges-accepting-jee-main-score/amp&ved=2ahUKEwjw9dv06_fiAhVBSX0KHZ3rAccQFjABegQIBBAB&usg=AOvVaw3HWvV0dhtjy7iUivosSUTX&ampcf=1
Thankyou
Hope it helps

Hello Gaurav, 

Unfortunately you cannot not get CSE branch with your rank in jee or wbjee. For. CSE branch the cutoff rank is mostly within 3-5k for good colleges. Since your rank is too high you cannot get colleges through your rank. You can try writing other state competitive exams to get admission in those respective colleges. 

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