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    Question

    The total of five back-to-back even numbers is 150.

    What’s the value of (cube of the least) – (square of the greatest)?
    A 30168 Correct Answer Incorrect Answer
    B 51068 Correct Answer Incorrect Answer
    C 16420 Correct Answer Incorrect Answer
    D 22108 Correct Answer Incorrect Answer

    Solution

    ATQ,

    x + (x+2) + (x+4) + (x+6) + (x+8) = 150

    5x + 20 = 150

    5x = 130

    x = 26

    Hence, Required difference = (26³ – 34²) = 17576 – 1156 = 16420

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