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      Question

      Three sections of a college have 30, 25 and 35 students

      respectively. The average marks of Section B is 68 and that of Section C is 72. The combined average of all three sections together is 70. What is the average marks (correct to two decimal places) of Section A?
      A 68.80 Correct Answer Incorrect Answer
      B 69.33 Correct Answer Incorrect Answer
      C 69.00 Correct Answer Incorrect Answer
      D 69.50 Correct Answer Incorrect Answer

      Solution

      ATQ, Total students = 30 + 25 + 35 = 90. Total marks (all) = 90 Γ— 70 = 6300. Section B: marks = 25 Γ— 68 = 1700 Section C: marks = 35 Γ— 72 = 2520 Total (B + C) = 4220. Section A: marks = 6300 βˆ’ 4220 = 2080. Average of A = 2080 / 30 β‰ˆ 69.33.

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