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      Question

      Find the least positive number which leaves remainder 5

      when divided by 8, remainder 6 when divided by 9, and remainder 7 when divided by 10.
      A 357 Correct Answer Incorrect Answer
      B 225 Correct Answer Incorrect Answer
      C 256 Correct Answer Incorrect Answer
      D 300 Correct Answer Incorrect Answer

      Solution

      The number is 3 less than each divisor. So, x + 3 is divisible by 8, 9 and 10 LCM = 360 x + 3 = 360 x = 357

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