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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 ร— 13x) + (0.75 ร— 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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