hard · GMAT Quant

A retail chain is placing a specialty kiosk at an integer mile marker x along a stretch of highway that contains three main stores at mile markers 100, 110, and 120. The kiosk placement is considered 'optimal' if the total absolute distance from the kiosk to the three main stores does not exceed 36 miles.

How many optimal integer locations for the kiosk exist?

  1. 33
  2. 21
  3. 32
  4. 17
  5. 37

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