X is a 5 digit number when we subtract the sum of the digits form X, it becomes divisible by _____



X is a 5 digit number when we subtract the sum of the digits form X, it becomes divisible by _____ ?

A. 5

B. 1

C. 9

D. 6

Answer : C. 9


Explanation:

    Every multiple of 9 (9, 18, 27, 36, etc.) has the property that its digits will always add up to a multiple of 9.
    For example, the number 4,968 is a multiple of 9 (552 × 9), and its digits add up to 27 (3 × 9).
    Because of how the problem is stated, with four-digit numbers, the sum of the digits will always be 9 or 18 or 27.
    Adding 1 + 8 or adding 2 + 7 (as specified in the problem) again gives 9.



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