In the question, two quantities I and II are given. You have to solve both the quantities to establish the correct relation between Quantity I and Quantity II and choose the correct option. Quantity I: A train running at a speed of 72 km/h crosses a pole in 15 seconds. What is the length of the train in meters? Quantity II: A train running at a speed of 54 km/h crosses a platform of length 100 meters in 24 seconds. What is the length of the train in meters?

For Quantity I: ATQ, Speed of the train = 72 km/h. Converting speed into m/s: Speed = 72 × (5/18) = 20 m/s. Time taken to cross the pole = 15 seconds. Or, Length of the train = Speed × Time. So, Length of the train = 20 × 15 = 300 meters. For Quantity II: ATQ, Speed of the train = 54 km/h. Converting speed into m/s: Speed = 54 × (5/18) = 15 m/s. Time taken to cross the platform = 24 seconds. Or, Total distance covered = Speed × Time = 15 × 24 = 360 meters. Since, Total distance = Length of the train + Length of the platform. Or, 360 = Length of the train + 100. So, Length of the train = 360 - 100 = 260 meters. Comparing both quantities: Quantity I = 300 meters Quantity II = 260 meters Clearly, Quantity I > Quantity II. Hence, the correct answer is A.