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      Question

      Total number of students in a college is 960. The ratio of

      boys to girls is 3:5. The ratio of boys who passed to those who failed is 7:2. The ratio of girls who passed to those who failed is 4:1. Find the total number of students who passed.
      A 760 Correct Answer Incorrect Answer
      B 615 Correct Answer Incorrect Answer
      C 525 Correct Answer Incorrect Answer
      D 375 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Number of boys = (3/8) Γ— 960 = 360

      Number of girls = (5/8) Γ— 960 = 600

      Required number of students = (7/9) Γ— 360 + (4/5) Γ— 600 = 280 + 480 = 760

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