hard · GMAT Quant

A telecommunications grid synchronizes packet headers designated by a positive integer N. Header rules require N equiv 10 pmod24, N equiv 26 pmod40, and N equiv 6 pmod30.

How many positive integers N ≤ 3,000 satisfy all three header synchronization rules?

  1. 0
  2. 12
  3. 25
  4. 50
  5. 120

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