Which position of the brake handle would be appropriate for locomotives hauled dead-in-train?

The appropriate position of the brake handle for locomotives that are dead-in-train is the Handle Off/Continuous Service position. In this configuration, the brakes are released, allowing the train to move freely without the engine providing direct control or braking force.

When locomotives are dead-in-train, they are not actively contributing to the braking system because they do not have power or are not controlling the movement of the train. Thus, choosing the Handle Off/Continuous Service position prevents any unintentional application of brakes, which could lead to unnecessary stresses on the train and possible safety hazards.

In contrast, the Full Service Position and Emergency position are intended for more immediate and forceful braking scenarios, which is not suitable for locomotives that are not in active service. The Minimum Reduction position also implies a partial application of brakes, which is unnecessary and could be detrimental when dealing with locomotives that are dead-in-train. Therefore, the Handle Off/Continuous Service is the safest and most efficient choice in this situation.