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KVPY2015MathematicsBasics of Mathematics

The least positive integer n for which [3] n+1 - [3] n < 1 12 is

Options

  1. A6
  2. B7
  3. C8
  4. D9

Correct answer

C. 8

Step-by-step solution

(n+1)^ 1 / 3 -(n)^ 1 / 3 1727 432 So n =8 only possible least positive integer

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