medium · GMAT Quant

A corporate IT supervisor schedules automated server maintenance routines. Routine Alpha runs every 21 hours with an offset of 4 hours after midnight (H equiv 4 pmod21). Routine Beta runs every 14 hours with an offset of 11 hours after midnight (H equiv 11 pmod14). If H represents hours elapsed since the benchmark epoch

What is the third positive integer value of H at which both routines coincide?

  1. 25
  2. 67
  3. 109
  4. 151
  5. 613

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