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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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