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    Question

    In an examination, the average marks obtained by the

    students is 40. After correcting the quantitative mistakes, the average of 50 students is reduced to 30 from 40 and the overall average of the student is reduced to 35. Then find the total number of students who participated in that examination.
    A 200 Correct Answer Incorrect Answer
    B 300 Correct Answer Incorrect Answer
    C 150 Correct Answer Incorrect Answer
    D 100 Correct Answer Incorrect Answer
    E 120 Correct Answer Incorrect Answer

    Solution

    Let the total number of students be x Average marks obtained by the students = 40 Total marks = 40x After correcting the quantitative mistakes the average decreased by (40-30) = 10 marks Total reduction = 10 × 50 = 500 Now According to the Question, (40x-500)/x = 35 35x = 40x-500 x= 100 Total number of students = 100

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