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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├Ч3├Ч70 = 3150 Total marks in first test = 15├Ч75 = 1125 Total marks in second test = 15├Ч65 = 975 Total marks of 15 students in third test = 3150 тАУ (1125+975) = 3150 тАУ 2100 = 1050 Sum of top 5 scores in test 3 = 5├Ч90 = 450 Remaining marks in third test = 1050 тАУ 450 = 600 Average marks or remaining 10 students in third test = 600/10 = 60

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