Directions : Each of the questions given 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 statement(s) is /are sufficient to answer the given 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; Give answer (e) if the data in both Statements I and II together are necessary to answer the question. A train crosses a pole in 10 seconds. What is the length of the train? I. The train crosses another train running in opposite direction with a speed of 80 km/hr in 22 seconds. II. The speed of the train is 108 km/hr.

### Concept & Formula When a train crosses a stationary pole, the distance covered is exactly equal to its own length. $$Length = Speed \times Time$$ ### Step-by-Step Solution * The main question provides the time taken to cross the pole: $T = 10$ seconds. To find the length, we only need the speed of this train. * From Statement I: It gives information about crossing another train. This introduces new variables (length of the second train) without giving us the speed of the first train directly. This is insufficient alone. * From Statement II: The speed of the train is given as $108$ km/hr. * We can easily convert this speed to m/s ($108 \times \frac{5}{18} = 30$ m/s) and multiply it by the $10$ seconds given in the main question to find the length ($30 \times 10 = 300$ m). * Thus, Statement II alone provides everything needed to answer the question. Statement I is unnecessary. ### Exam Strategy & Shortcut Read the core question and identify exactly what is missing. The question gives $Time$ and asks for $Length$. You immediately know you only need the $Speed$. Scan the statements for the speed of the main train. Statement II gives it directly. ### Common Pitfall A common pitfall is getting bogged down trying to solve the complex scenario in Statement I, wasting time before realizing Statement II gives the straightforward missing piece. ### 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**.