8. The sum of the digits of a number is subtracted from the number. The resulting number is always divisible by (2018) (A) 2 (B) 5 (C)8 (D) 9
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Answer:
Correct option is D)
Let us work out with few numbers and get the answer
Let the number be 23.
Sum of digits is 2+3=5
Now, we subtract the sum of the digits from the number itself that is 23−5=18.
18 is divisible by both 2 and 9.
Similarly, Let the number be 15.
Sum of digits is 1+5=6
Now, we subtract the sum of the digits from the number itself that is 15−6=9.
9 is divisible by 9.
Hence, the sum of the digits of a number is subtracted from the number, the resulting number is always divisible by 9.
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