As you have asked about the date of the West Bengal joint Entrance Examination (WBJEE), I am giving you information about it

I want to tell you that exam for this year has been commenced.
But I am giving you information about it, just for reference

WBJEE 2016 Exam 17 May 2016
WBJEEM 2016 Exam (MBBS / BDS)
Biological Sciences 20 Jul 2016
(10:30 AM – 01:00 PM)
Physics + Chemistry 20 Jul 2016
(02:00 PM – 04:00 PM)
Publication of Result 05 June 2016

Other Important Dates:

Start of online form fill-up 05 Jan 2016
Last date of form fill-up and registration 29 Feb 2016
Last Date of document Uploading 02 Mar 2016
Last date of fee payment 05 Mar 2016
Last date of printing of confirmation page 31 Mar 2016
Window for correction (based on board’s feedback and self-induced errors)
along with uploading of correct certificates etc by candidates 07 to 12 Mar 2016
Publication of WBJEE 2016 Admit card 04 Apr 2016
03 May 2016