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

A. Not divisible by 9

B. Divisible by 9

C. Not divisible by 6

D. Divisible by 6

Answer: Option B

Solution(By Examveda Team)

Let the hundreds, tens and unit digits be x, y and z respectively.
Then,
(100x + 10y + z) - (x + y + z)
= 99x + 9y
= 9 (11x + y)
So, the resulting number is divisible by 9

This Question Belongs to Arithmetic Ability >> Number System

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