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      Question

      Let N be the greatest number that will divide 85, 116,

      147 leaving the same remainder in each case. Then sum of the digits in N is:
      A 9 Correct Answer Incorrect Answer
      B 7 Correct Answer Incorrect Answer
      C 4 Correct Answer Incorrect Answer
      D 6 Correct Answer Incorrect Answer

      Solution

      To find the greatest number that leaves common remainder in each case, The HCF of (116-85), (147-85), (147-116)Β = 31 In this case the number will be 31. And sum of digits will be = 4

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