Multiple Choice Questions on This question is accompanied by two statements I and II You have to determine which statement s is a........... for SSC (CPO) Exam Preparation

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This question is accompanied by two statements I and II You have to determine which statement s is a...........

Quantitative Aptitude (CPO) Time and work
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    Direction :Study the given line chart carefully and answer the following questions
    Line chart shows the time taken by 5 boys to complete a work.
    The following table shows the ratio of time taken by boys and girls
    This question is accompanied by two statements (I), and (II). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
    B, D and H starts the work together, find in how many days whole work will be completed?
    I. B left after 2 days.
    II. Before leaving the work B has completed 13(1/3)%

     I only

    Incorrect Answer

     II only

    Incorrect Answer

     Either I or II

    Correct Answer

     Neither I nor II

    Incorrect Answer

     Both I and II

    Incorrect Answer
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    Explanation:
    Time taken by H to do work = 12/4 × 5 = 15 days
    Let total work = LCM (15, 18, 15) = 90 unit
    One day work of B = 90/15 = 6 unit
    One day work of D = 90/18 = 5 unit
    One day work of H = 90/15 = 6 unit
    From I,
    Work done by B, D and H in 2 days = (6 + 6 + 5) × 2 =34 unit
    Remaining work = 90 – 34 = 56 unit
    Work done by D and H = 56/11 = 5(1/11) days
    Total time taken = 2 + 5(1/11) days
    From II,
    13(1/3)% of work = 13(1/3)% of 90 = 12 unit
    12 unit of work done by B in = 12 /6 = 2 days
    This means that B has worked for 2 days,
    We can find the answer using this statement too.
    ∴ Question can be answered using either of the statement.

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