hard · GMAT Quant

An engine control unit evaluates sensor cycle counts designated by a positive integer N. Program guidelines demand that N leaves a remainder of 7 when divided by 18, a remainder of 11 when divided by 24, and a remainder of 3 when divided by 15.

How many positive integers N ≤ 1,200 satisfy all three calibration rules?

  1. 0
  2. 3
  3. 10
  4. 33
  5. 200

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