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    Question

    The average of a set of 's' numbers is 10. If 20 is

    added to the set, then the average of the set becomes 10.2. Find the value of '4 X (s - 6)'.
    A 172 Correct Answer Incorrect Answer
    B 180 Correct Answer Incorrect Answer
    C 160 Correct Answer Incorrect Answer
    D 150 Correct Answer Incorrect Answer
    E 145 Correct Answer Incorrect Answer

    Solution

    Sum of all 's' numbers = 10s
    ATQ:
    (10s + 20) / (s + 1) = 10.2
    Multiplying both sides by (s + 1):
    10s + 20 = 10.2(s + 1)
    10s + 20 = 10.2s + 10.2
    20 - 10.2 = 10.2s - 10s
    9.8 = 0.2s
    s = 49
    4 X (s - 6):
    4 X (49 - 6) = 4 X 43 = 172

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