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      Question

      Class X has 30 students with an average score of 72

      marks. Class Y has 20 students with an average score of y marks. The combined average score of all 50 students (both classes together) is 70 marks. What is the average score of Class Y?
      A 32 Correct Answer Incorrect Answer
      B 48 Correct Answer Incorrect Answer
      C 75 Correct Answer Incorrect Answer
      D 67 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Sum of marks in Class X = 30 Γ— 72 = 2160 Let sum of marks in Class Y = 20y Total sum for both classes = 2160 + 20y Combined average = 70 for 50 students: (2160 + 20y) / 50 = 70 2160 + 20y = 3500 20y = 1340 y = 1340 / 20 = 67 Average of Class Y = 67.

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