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    Question

    The average score obtained by 23 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 253 Correct Answer Incorrect Answer
    B 224 Correct Answer Incorrect Answer
    C 274 Correct Answer Incorrect Answer
    D 254 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 20 students be 40 marks each. So, total marks obtained by 20 students = 40 x 20 = 800 Remaining marks = 1564 - 800 = 764 So, score of toppers = 764 ÷ 3 = 254 marks + 2 additional mark This additional mark could be obtained by any other student.

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