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    Question

    Study the given table and answer the question that follows. The given table shows the number of candidates who appeared (both male and female) in a Public Examination and the percentage of those who qualified in the examination from two states X and Z. Few values are missing in the table (indicated by ------). You will be required to fill them up according to the question.

    Out of the number of qualified candidates from State X

    in 2010, the ratio of male to female candidates is 5: 7. If the number of female qualified candidates from State X in 2010 is 168, what is the number of appeared candidates (both male and female) from State X in 2010?
    A 360 Correct Answer Incorrect Answer
    B 480 Correct Answer Incorrect Answer
    C 640 Correct Answer Incorrect Answer
    D 540 Correct Answer Incorrect Answer

    Solution

    Ratio of male to female qualified candidates = 5:7
    Female qualified = 168
    Total qualified = 5x + 7x = 12x
    ⇒ 7x = 168
    ⇒ x = 24
    ⇒ Total qualified = 12x = 288

    Also, percentage of qualified in 2010 = 60%
    ⇒ Appeared candidates = 288 / 0.60 = 480

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