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    Question

    Find the smallest number which when divided by 7 and 11

    leaves a remainder of 5 in each case.
    A 55 Correct Answer Incorrect Answer
    B 82 Correct Answer Incorrect Answer
    C 67 Correct Answer Incorrect Answer
    D 48 Correct Answer Incorrect Answer

    Solution

    If number = N, then N leaves remainder 5 when divided by 7 and 11. So N тИТ 5 is divisible by both 7 and 11. LCM(7, 11) = 7 ├Ч 11 = 77 So N тИТ 5 = 77 ├Ч 1 = 77 N = 77 + 5 = 82

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