Final answer:
The correct option is (B). Part-time four-wheel-drive (4WD) is the system that should not be used on dry pavement as it can cause driveline binding. The other systems listed include a center differential or traction control and can adjust power distribution to safely operate on dry pavement.
Step-by-step explanation:
The four-wheel-drive/all-wheel-drive system that cannot be driven on dry pavement when engaged is B) Part-time four-wheel-drive (4WD). Part-time 4WD systems are designed for use in off-road or slippery conditions where the traction difference between the front and rear axles is not a concern. When engaged on dry pavement, the lack of differential action between the axles can cause excessive tire wear and potential drivetrain damage due to the inability to compensate for the difference in rotation between the front and rear tires (known as driveline binding).
In contrast, A) Automatic AWD, C) Full-time 4WD, and D) Intelligent AWD systems include a center differential or some form of traction control that allows the vehicle to be driven on all types of surfaces, including dry pavement, without the risk of driveline binding. These systems can automatically adjust power distribution between wheels based on traction needs, thus they are safe for dry pavement use.