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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.

    Akash and Bhavna together can complete a work in 12 days. How many days will it take for Akash to do the same work alone?

    Statements I: The efficiency ratio of Akash and Bhavna is 2:3.

    Statements II: Akash and Bhavna together complete 60% of the work in 7.2 days.

    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: Let, efficiency of 'Akash' and 'Bhavna' is '2p' units/day and '3p' units/day, respectively. Total Work = 12 × 5p = 60p units Time taken by 'Akash' alone = 60p/2p = 30 days So, data in statement I alone is sufficient to answer the question. Statement II: 'Akash' and 'Bhavna' together do 60% of work in 7.2 days. So, data in statement II alone is not sufficient to answer the question.

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