Which of the following items cannot be checked at the same time?

The correct choice, which cannot be checked at the same time, is associated with brake lights, flashers, and turn signals due to how these signals operate. When you activate the turn signals or hazard flashers, the respective lights will typically interrupt the operation of other lights. For instance, if the hazard lights are on, the brake lights won't function independently; instead, they share connections and can indicate the same signal pattern.

In contrast, headlights and taillights can be checked simultaneously, since they operate independently as long as the vehicle's electrical system is functioning properly. Similarly, windshield wipers and the horn can be checked at the same time without interfering with one another, as they serve different functions within the vehicle. The speedometer and fuel gauge are independent gauges and can also be checked together without any issue.

Hence, the combination of brake lights, flashers, and turn signals is unique in that they cannot all be engaged for checking at the same time without one or more affecting the visibility and signaling of the others.