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      Question

      Find the greatest number that will divide 49, 147 and

      322 to leave the same remainder in each case.
      A 7 Correct Answer Incorrect Answer
      B 5 Correct Answer Incorrect Answer
      C 6 Correct Answer Incorrect Answer
      D 9 Correct Answer Incorrect Answer

      Solution

      According to the question, The differences will be, ⇒ 147 - 49 = 98 ⇒ 322 - 147 = 175 ⇒ 322 - 49 = 273 The set of numbers {98,175,273} Now HCF of {98,175,273} ⇒ 98 = 7 × 7 × 2 ⇒ 175 = 5 × 5 × 7 ⇒ 273 = 13 × 7 × 3 The HCF of {98,175,273} is 7

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