Dear Kathikeya,

If you wants to take admission in Jadavpur University in BE/B.tech course the there is not any other option to take admission without WBJEE, you need to appear in this exam, and also there is not any management quota seat in this university, the only option is WBJEE for all engineering courses.

And if you want to take admission in other courses then you are eligible with your 12th marks, you don't need to give any exam for that, they create the merit list for admission by your 12th percentage.

Good Luck :)