First of all, you should give WBJEE entrance exam then through the e-counseling process you can take admission in JGEC. There is nothing about cut-off because every year it varies. But I think you should rank lesser than 5000 if you want to take admission.
You have to score a good rank in WBJEE to get a chance in this college. The cut-off will be given on the website usually, it is 2000 for mechanical and electrical and 4000 for civil, electronics, and IT.
Candidate must clear the WBJEE exam and must have passed the 12th from the recognized institute to get admission in this college. The cutoff rank must be below 4,000.
I was allotted through WBJEE and the course I chose was B-Tech in Computer Science. The eligibility criteria is 10k rank in WBJEE.
I got admission through WBJEE (West Bengal Joint Entrance Examination) rank. The cut-off rank for B.Tech in ECE was below 6000 and I ranked 5698.
The candidate must clear the WBJEE exam and must have passed the 12th from a recognized institute. The cutoff rank must be below 17000.