The correct option is B Both A and B are true
In high current low voltage windings of a transformer thick wire is used to minimize energy loss due to heat produce since heat is proportional to resistance of the wire and resistance is immersely proportional to crossection area of the wire, so as thickness increases, cross-section increases so, resistance decreases so, heat decreases.
The core of any transformer is laminated so as to reduce the energy loss due to eddy currents since lamination does not provide area for eddy currents to flow.