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      Question

      A university has Y students. 40% study science, 35%

      study arts, and the rest study commerce. In an exam, 25% of science students, 20% of arts students, and 40% of commerce students passed. If 1095 students failed the exam, how many total students (Y) are in the university?
      A 1500 Correct Answer Incorrect Answer
      B 1800 Correct Answer Incorrect Answer
      C 1600 Correct Answer Incorrect Answer
      D 1700 Correct Answer Incorrect Answer
      E 1300 Correct Answer Incorrect Answer

      Solution

      Total number of students in University = Y Students in science department = 40% of Y = 0.4Y Students in art department = 35% of Y = 0.35Y Students in commerce department = 25% of Y = 0.25Y Total number of pass students = 25% of 0.4Y + 20% of 0.35Y + 40% of 0.25Y Y-1095 = 0.1Y + 0.07Y + 0.1Y Y-1095 = 0.27Y 0.73Y = 1095 Y = 1500

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