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      Question

      Find the smallest 4-digit number which when divided by

      10, 15, 20, 25, 30 leaves remainder 9.
      A 1125 Correct Answer Incorrect Answer
      B 1209 Correct Answer Incorrect Answer
      C 1360 Correct Answer Incorrect Answer
      D 1436 Correct Answer Incorrect Answer

      Solution

      According to the question, the smallest 4-digit number which when divided by 10, 15, 20, 25, and 30 leaves a remainder of 9.   = (LCM of 10, 15, 20, 25, 30) K+9 = 300K+9 Putting K = 4, = 300x4+9 = 1209

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