Multiple Choice Questions on B C and J started a work B left the work after lsquo n rsquo days C and J completed the remaining wo........... for SSC CGL Exam Preparation

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Multiple Choice Questions

B C and J started a work B left the work after lsquo n rsquo days C and J completed the remaining wo...........

Quantitative Aptitude (CGL) 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
    B, C and J started a work, B left the work after ‘n’ days. C and J completed the remaining work in 3(2/5) days. Find after how many days B left the work.

    3(1/2) days

    Incorrect Answer

     3 days

    Correct Answer

     4 days

    Incorrect Answer

     2 days

    Incorrect Answer

     None of these

    Incorrect Answer
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    Explanation:
    Time taken by J to do the work = 20/5 × 6 = 24 days
    Let total work = LCM (15, 12, 24) = 120 unit
    One day work of B = 120/15 = 8 unit
    One day work of C = 120/12 = 10 unit
    One day work of J = 120/24 = 5 unit
    Work done by C and J in 3(2/5) days = (10 + 5) × 17/5 =51 unit
    Remaining work = 120 – 51 = 69 unit
    No. of day for which B, C and J worked together = 69/ (8+ 10 + 5) = 69/23 = 3 day
    ∴ B left the work after 3 days

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