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    Question

    Five consecutive even integers add up to 180. Find the

    difference between the cube of the smallest and the square of the largest.
    A 30168 Correct Answer Incorrect Answer
    B 51068 Correct Answer Incorrect Answer
    C 31168 Correct Answer Incorrect Answer
    D 22108 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    x + (x+2) + (x+4) + (x+6) + (x+8) = 180

    5x + 20 = 180

    5x = 160

    x = 32

    Hence, Required difference = (32³ – 40²) = 32768 – 1600 = 31168

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