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    Question

    The question consists of two statements numbered "l and II" given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

    A train that is 200 meters long

    passes a platform that is 350 meters long in a specific amount of time. The same train, traveling at the same speed, also crosses a bridge that is 1150 meters long. Determine how long it takes for the train to cross the bridge. Statement I: The train takes 13(3/4) seconds to cross the platform. Statement II: The time ratio for the train crossing the platform and the bridge is 11:27, respectively.
    A 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. Correct Answer Incorrect Answer
    B 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. Correct Answer Incorrect Answer
    C The data either in statement I alone or in statement II alone are sufficient to answer the question. Correct Answer Incorrect Answer
    D The data given in both statements I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
    E The data in both statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer

    Solution

    ATQ, Let the speed of the train is ‘X’ m/s. Statement I: According to the question, (200 + 350)/X = (55/4) Or, (550/X) = (55/4) Or, X = 40 m/s Time taken to cross the bridge = (200 + 1150)/40 = (1350/40) seconds So, data in statement I alone is suicient to answer the question. Statement II: Let the time taken by the train to cross the platform and the bridge be ‘11x’ seconds and ‘27x’ seconds, respectively. According to the question, (200 + 350)/11x = (1150 + 200)/27x So, 5 = 5 So, data in statement II alone is not sufficient to answer the question.

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