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    Question

    The average score obtained by 27 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 290 Correct Answer Incorrect Answer
    B 232 Correct Answer Incorrect Answer
    C 292 Correct Answer Incorrect Answer
    D 272 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 24 students be 40 marks each. So, total marks obtained by 24 students = 40 x 24 = 960 Remaining marks = 1836 - 960 = 876 So, score of toppers = 876 ÷ 3 = 292 marks 

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