medium · GMAT Quant

A data network protocol computes a signal smoothing index C(k) = leftlfloor dfrack3 rightrfloor + leftlfloor dfrack+13 rightrfloor + leftlfloor dfrack+23 rightrfloor for every integer transmission index k.

Which of the following is equivalent to C(k) for all integers k?

  1. k
  2. 3leftlfloor dfrack3 rightrfloor
  3. leftlfloor k rightrfloor + 1
  4. 3leftlfloor dfrack+13 rightrfloor - 1
  5. 3leftlfloor dfrack3 rightrfloor + 1

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