New Enroll in RBI Grade B New Batch - Starts on May 21

    Question

    If 'N' is the greatest four 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 20 Correct Answer Incorrect Answer
    B 23 Correct Answer Incorrect Answer
    C 26 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    Solution –LCM of 27, 6, 8 and 9=216

    Greatest number of 4 digit =9999

    Dividing the largest four-digit number by the LCM of the given numbers

    Remainder =63

    Largest Divisible number of 4 digit by 216(27,6,8,9) =9999-63=9936

    divided by 27, 6, 8 and 9 Leaves remainder 5 =9936+5=9941

    now the sum of digits =9+9+4+1=23.

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