Hello there,
To get admission into Jadavpur University, you need to rank within top 1000 in WBJEE. You haven't mentioned which branch you are aiming for. Nevertheless, I'm mentioning some cut-off ranks for you to make an idea.

CSE- 107
ECE- 207
IT- 305
Mechanical- 654
Chemical- 863
Civil- 1193
Production engg.- 1146

These cutoff ranks are for the general category, in the year 2019. To be on the safe side, you need to rank within 1000, for any branch in Jadavpur University.

For more information about JU, you can visit the link given below:
https://engineering.careers360.com/articles/wbjee-cutoff

Hope this answer helps you.
Good luck!!

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