Electrolysis is occurring during recharge.
For the question:
Firstly, we'll need to identify what's being reduced and what's being oxidised in the discharge reaction given.
In discharge, Cd ---> Cd2+, and hence is undergoing oxidation. Ni3+ ---> Ni2+ and is hence being reduced. Therefore, when the cell is being recharged, the reverse reactions will be occurring and the cadmium ions will be reduced to form cadmium metal and the nickel (II) ions will be oxidised to form nickel(III) ions.
The question asks for the products formed at the positive electrode, and since it's being recharged, it's undergoing electrolysis, which means that the positive electrode will be the anode, which is where oxidation occurs. So we're looking to form NiO(OH), and since it occurs in an alkaline electrolyte, we can't form H+ ions. Therefore our answer is B.