Which of the following methods is NOT used to determine air pressure on a train?

The method that is not utilized to determine air pressure on a train is the hand pump test. This test is typically used for checking the condition of braking systems or for testing brake components but does not provide an accurate or real-time reading of air pressure within the braking system.

In contrast, an accurate gauge is specifically designed to measure air pressure and provide immediate feedback about the system's status, making it a critical tool for monitoring air pressure. The End-of-Train (E.O.T.) device also serves an essential purpose in communicating brake pipe pressure from the end of the train to the locomotive, ensuring that the entire train's brake system is functioning as intended. Distributed power locomotives enhance train control and braking effectiveness by using multiple locomotives distributed throughout the train, which indirectly relates to maintaining proper air pressure levels across the system.

The hand pump test does not fit within these methods since it does not directly measure air pressure, isolating it from the accurate methods used in operational settings.