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      Question

      Find the greatest number which when divide 28, 82 & 109

      leave a same remainder 1 in each case?
      A 27 Correct Answer Incorrect Answer
      B 18 Correct Answer Incorrect Answer
      C 29 Correct Answer Incorrect Answer
      D 14 Correct Answer Incorrect Answer

      Solution

      The greatest number which when divide 28,82 & 109 leave a same remainder 1 in each case = HCF (28 - 1, 82 -1 , 109 - 1 ) = HCF (27, 81, 108 ) = 27.

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