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    Question

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

    Statement I: 35p + 14q = 161 Statement II: 20p + 8q = 92 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.
    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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