See if you have wrong DOB in your Aadhar Card then its better to keep the admission on the basis of your aadhar card date. Laterwards, you can do Aadhar Correction and then on resubmitting you can change the DOB accordingly and it will not be of much problem.

Now as your university registration will be done once you take admission in the course, then I would recommend you to talk with the officials and ask them if you can do that, if they agree then you can go for it else you have to follow the procedure I have produced above.

**You can try to have some aadhar card correction (if can be done before admission/verification) and as you do correction, the officer will give you a receipt which you can also produce on the time of admission and it can also be granted. So you have to make some efforts.

To know more about WBJEE counselling visit the link below:

https://engineering.careers360.com/articles/wbjee-counselling

I hope this answer helps. All the very best for your future endeavors!