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    Question

    The average score obtained by 10 students in a class

    test is 68 marks. The top place was shared by 3 people who got the same score. If the lowest score was 40 marks, then which of the following could be the highest score obtained by toppers? (Marks scored by each student is a whole number)
    A 133 Correct Answer Incorrect Answer
    B 123 Correct Answer Incorrect Answer
    C 143 Correct Answer Incorrect Answer
    D 113 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    To maximize the toppers score, we must minimize the scores of everyone else. So, let the scores of other 7 students be 40 marks each. So, total marks obtained by 7 students = 40 X 7 = 280 Remaining marks = 680 - 280 = 400 So, score of toppers = 400 ÷ 3 = 133 marks + 1 additional mark This additional mark could be obtained by any other student.

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