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    Question

    The ratio of males to females appearing for an exam in

    Ranchi is 13:24. It is known that 20% of the males and 25% of the females cleared the exam. If the number of candidates who failed the exam is 142, determine the total number of candidates who appeared for the exam.
    A 222 Correct Answer Incorrect Answer
    B 185 Correct Answer Incorrect Answer
    C 160 Correct Answer Incorrect Answer
    D 370 Correct Answer Incorrect Answer
    E 165 Correct Answer Incorrect Answer

    Solution

    Let the number of males and females who appeared in the exam be 13x and 24x respectively.

    According to the question,

    (0.8 × 13x) + (0.75 × 24x) = 142

    Or, x = 142/28.4 = 5

    Total number of males and females who appeared in the exam = (13x + 24x) = 185

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