Which of the following symptoms may indicate a failing power steering pump?

The symptoms of whining noises and difficulty steering strongly suggest a failing power steering pump. When the power steering pump begins to fail, it often produces a characteristic whining or groaning noise due to increased friction or inadequate fluid pressure. This noise can indicate that the pump is struggling to effectively circulate the power steering fluid, which is crucial for the smooth operation of the steering system.

Additionally, difficulty steering can result from insufficient power assistance provided by a malfunctioning pump. The power steering system is designed to reduce the effort needed to turn the steering wheel, and when the pump is not functioning properly, drivers may experience a significant increase in steering effort, making it hard to maneuver the vehicle.

The other options relate to different automotive issues that do not directly indicate a failing power steering pump. Unusual tire wear is typically associated with alignment or suspension issues rather than a power steering problem. Engine stalling is usually linked to fuel delivery or ignition issues, and braking problems are generally connected to the braking system components. Thus, whining noises and difficulty steering uniquely point to the power steering pump's performance.