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    Question

    A student's scores in four subjects are in the ratio

    3:4:5:6. The student achieved an overall average of 72% on the exam. If the maximum possible score for each subject is the same, in how many subjects did the student exceed 75%?
    B 4 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D 2 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    CORRECT OPTION: d SOLUTION: Let the total maximum marks of each subject = 100 Total maximum marks of all 4 subjects = 400 Total obtained marks = 72% of 400 = 288 Let the marks of the students in each subject be 3x, 4x, 5x and 6x 3x+4x+5x+6x = 288 18x = 288 x = 16 marks in each subject = 3x, 4x, 5x, 6x = 48, 64, 80, 96 in only 2 subjects he scored more than 75%.

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