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    Question

    If 'N' is the greatest three-digit number which when

    divided by 27, 6, 8 and 9 Leaves in each case the same remainder of 5, then the sum of the digits of 'N' is.
    A 23 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 26 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    LCM of 27, 6, 8 and 9=216 Greatest number of 3 digit =999 Dividing the largest three-digit number by the LCM of the given numbers Remainder =135 Largest Divisible number of 3 digit by 216(27,6,8,9) =999-135=864 divided by 27, 6, 8 and 9 Leaves remainder 5 =864+5=869 now sum of digit =8+6+9=23

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