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    Question

    The average score obtained by 24 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 264 Correct Answer Incorrect Answer
    B 254 Correct Answer Incorrect Answer
    C 274 Correct Answer Incorrect Answer
    D 294 Correct Answer Incorrect Answer

    Solution

    To maximize the toppers score, we must minimize the scores of everyone else. So, let the scores of other 21 students be 40 marks each. So, total marks obtained by 21 students = 40 x 21 = 840 Remaining marks = 1632 - 840 = 792 So, score of toppers = 792 ÷ 3 = 264 marks 

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