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Question

The sum of the digits of a 3-digit number is subtracted from the number. The resulting number is:

Options:
A .  Divisible by 6
B .  Divisible by 9
C .  Divisible by both 6 and 9
D .  Divisible neither by 6 or 9
E .  None of these
Answer: Option B
 -  Let the 3-digit number be xyz. Then,
(100x + 10y + z) - (x + y + z) = 99x + 9y = 9 (11x + y), Which is divisible by 9

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