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    Question

    Suppose train P crosses train Q in 55 sec when

    travelling in same direction then, Determine the length of train P. Statement I : Speed of train Q is 36 m/sec and it crosses a tree in 10 sec. Statement II: Train P crosses a tree in 35 sec. 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 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 both statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer
    C The data given in both statements I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
    D The data either in statement I alone or in statement II alone are sufficient to answer the question. Correct Answer Incorrect Answer
    E 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

    Solution

    ATQ, Statement I: Length of train Q = 36 × 10 = 360 metres We cannot Find the speed of train P. So, data in statement I alone is not suicient to answer the question. Statement II: We cannot ind the speed of trains P and Q. So, data in statement II alone is not sufficient to answer the question. Combining Statements I and II: Length of train Q = 360 metre Let the speed of train P be 'a' m/sec Length of train P = 35a meters Train P crosses train Q in 55 sec when travelling in same direction.  So,a – 36 = (360 + 35a)/55 Or, 55a – 1980 = 360 + 35a Or, a = 117 Length of train P = 35 × 117 = 4095 metres So, the data in both statements I and II together are necessary to answer the question.

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