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    Question

    The average score of a group of 50 students is 90. When

    the scores of 4 studentsтАФX, Y, Z, and WтАФare excluded, the average of the rest falls by 2. If X scored 10 more than Y, Y scored 25 more than Z, and Z scored 20 less than W, then how much did X score?
    A 115 Correct Answer Incorrect Answer
    B 128 Correct Answer Incorrect Answer
    C 165 Correct Answer Incorrect Answer
    D 132 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Total score of all 50 students = 50 ├Ч 90 = 4500 Total score of remaining 46 students = 46 ├Ч 88 = 4048 Score of X, Y, Z, W combined = 4500 тАУ 4048 = 452 Let score of X = x Then, Y = x тАУ 10 Z = x тАУ 10 тАУ 25 = x тАУ 35 W = x тАУ 35 + 20 = x тАУ 15 Sum = x + (x тАУ 10) + (x тАУ 35) + (x тАУ 15) = 4x тАУ 60 = 452 тЖТ 4x = 452 + 60 = 512 тЖТ x = 512 ├╖ 4 = 128

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