medium · GMAT Quant

An automated warehouse sorting algorithm computes a container routing parameter R(k) = leftlfloor dfrack2 rightrfloor leftlceil dfrack2 rightrceil for any integer storage bin index k.

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

  1. dfrack^24
  2. leftlfloor dfrack^24 rightrfloor
  3. leftlceil dfrack^24 rightrceil
  4. dfrack^2 - 14
  5. leftlfloor dfrack^2 - k4 rightrfloor

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