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    Question

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

    If 5p + 2q = 23, then determine the value of ‘p’

    Statement I: 35p + 14q = 161 Statement II: 20p + 8q = 92
    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, Statement I: Given, 5p + 2q = 23…. (1) And, 35p + 14q = 161 Diving the equation throughout by 7, we get 5p + 2q = 23….. (2) Therefore, we cannot find the value of ‘p’. So, data in statement I alone is not sufficient to answer the question. Statement II: Given, 5p + 2q = 23…. (1) And, 20p + 8q = 92 Dividing the equation throughout by 4, we get 5p + 2q = 23….. (2) Therefore, we cannot find the value of ‘p’. So, data in statement II alone is not sufficient to answer the question. Combining statement I and II, we cannot find the value of ‘p’. So, data given in both statements I and II together are not sufficient to answer the question.

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