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      Question

      The number of students (boys + girls) in class 'A' is

      96, and the ratio of the number of girls to boys in class 'A' is 2:1. If the average number of boys in classes 'A' and 'B' is 78 and the average number of girls in classes 'A' and 'B' is 84, then find the total number of students in class 'B'.
      A 228 Correct Answer Incorrect Answer
      B 232 Correct Answer Incorrect Answer
      C 224 Correct Answer Incorrect Answer
      D 248 Correct Answer Incorrect Answer

      Solution

      Number of girls in class A = (2/3) × 96 = 64
      Number of boys in class A = (1/3) × 96 = 32
      Number of boys in class B = 78 × 2 - 32 = 156 - 32 = 124
      Number of girls in class B = 84 × 2 - 64 = 168 - 64 = 104
      Total number of students in class B = 124 + 104 = 228

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