Directions: Each of the questions below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is/are sufficient to answer the question. Read both the statements and Give answer (a) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question; Give answer (b) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question; Give answer (c) if the data either in Statement I or in Statement II alone are sufficient to answer the question; Give answer (d) if the data even in both Statements I and II together are not sufficient to answer the question; and Give answer (e) if the data in both Statements I and II together are necessary to answer the question. What is the distance between City A and City B? I. Bus starting from A reaches B at 6 : 15 p.m. at an average speed of 60 kmph. II. Bus at an average speed of 40 kmph reaches A at 4 : 35 p.m. if it starts from B exactly at noon. (Bank P.O., 2009)

### Concept & Formula Distance can be unambiguously calculated if we know the average speed of the vehicle and the total duration of the trip. $$ \text{Distance} = \text{Speed} \times \text{Time} $$ ### Step-by-Step Solution From Statement I: * Arrival time = 6:15 p.m. * Average speed = 60 kmph. * The starting time of the bus is not provided, making it impossible to determine the total travel time. Consequently, the distance cannot be calculated. Statement I is not sufficient. From Statement II: * Starting time = 12:00 noon (noon). * Arrival time = 4:35 p.m. * Total travel time = 4 hours and 35 minutes (or $4 \frac{35}{60}$ hours). * Average speed = 40 kmph. * Since both the exact time duration and the average speed are given, the distance between City A and City B can be precisely calculated. Statement II alone is sufficient. ### Exam Strategy & Shortcut Scan the statements for paired variables. Statement II provides a complete set (start time, end time, speed). Statement I provides an incomplete set (end time, speed). The conclusion is immediate. ### Common Pitfall Wasting time performing the actual distance calculation for Statement II. In Data Sufficiency, once you establish that a unique answer *can* be found, stop calculating and mark the appropriate option. ### Final Answer Therefore, the correct answer is **if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question**.