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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, тЗТ 147 - 49 = 98 тЗТ 322 - 147 = 175 тЗТ 322 - 49 = 273 The set of numbers {98,175,273} Now HCF of {98,175,273} тЗТ 98 = 7 ├Ч 7 ├Ч 2 тЗТ 175 = 5 ├Ч 5 ├Ч 7 тЗТ 273 = 13 ├Ч 7 ├Ч 3 The HCF of {98,175,273} is 7

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