Following are the documents required for Noc.
Referhere for detailed instructions.
While transferring a vehicle (car/bike) from one state to another , first NOC is required from the RTO where vehicle is registered .
To register the vehicle in the RTO of transferred state one will have to pay the road tax other than submitting NOC , RC ,Insurance and address proof.
No , legally its not permitted.
It varies from state to state . Normally it is in the range of 10% of vehicle value.