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The sum of the digits of a number is subtracted from the number. The resulting number is always divisible by:

  • A.2
  • B.5
  • C.8
  • D.9

Answer: D

This is a property related to the divisibility rule of 9. Let's take an example. Number = 42. Sum of digits = 6. Result = 42-6=36. 36 is divisible by 9.

Let the number be 10x+y. Sum of digits is x+y. The difference is (10x+y)-(x+y) = 9x. This is always divisible by 9.

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