Q388
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
AnswerC.
Not divisible by 6
D.
Divisible by 6
Answer: Option B
Solution
Answer: Option B
Solution:
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