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      Question

      In a college, 70% of the students are boys while the

      rest are girls. 40% of the boys and 50% of the girls cleared the placement test. What is the ratio of the number of boys who failed to the number of girls who passed?
      A 30:7 Correct Answer Incorrect Answer
      B 25:6 Correct Answer Incorrect Answer
      C 29:7 Correct Answer Incorrect Answer
      D 14:5 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;

      Let the number of students be 100n Number of boys = 0.7 × 100n = 70n Number of girls = 100n - 70n = 30n Number of boys failed = 0.6 × 70n = 42n Number of girls passed = 0.5 × 30n = 15n Required ratio = 42n : 15n = 14:5

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