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      Question

      A group of 15 students appeared for three tests. The

      overall average score across all tests is 70. The average score in the first test was 75, and in the second test, it was 65. If the top 5 students scored an average of 90 in the third test, what was the average score of the other 10 students in the third test?
      A 60 Correct Answer Incorrect Answer
      B 63 Correct Answer Incorrect Answer
      C 65 Correct Answer Incorrect Answer
      D 70 Correct Answer Incorrect Answer

      Solution

      Total marks of 15 students in 3 tests = 15×3×70 = 3150 Total marks in first test = 15×75 = 1125 Total marks in second test = 15×65 = 975 Total marks of 15 students in third test = 3150 – (1125+975) = 3150 – 2100 = 1050 Sum of top 5 scores in test 3 = 5×90 = 450 Remaining marks in third test = 1050 – 450 = 600 Average marks or remaining 10 students in third test = 600/10 = 60

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