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    Question

    The sum of five consecutive even integers is 90. Determine

    (cube of the smallest) minus (square of the largest).
    A 1016 Correct Answer Incorrect Answer
    B 2260 Correct Answer Incorrect Answer
    C 6420 Correct Answer Incorrect Answer
    D 2210 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    x + (x+2) + (x+4) + (x+6) + (x+8) = 90

    5x + 20 = 90

    5x = 70

    x = 14

    Hence, Required difference = (14³ – 22²) = 2744 – 484 = 2260

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