The sum of the digits of a 4-digit number is subtracted from the number. The resulting number is always

divisible by 9

The correct answer is Option (2) → divisible by 9

For any number, the difference between the number and the sum of its digits is always divisible by 9.

This is because a number and the sum of its digits are congruent modulo 9.

Example:

Take 4729
Sum of digits = 4 + 7 + 2 + 9 = 22
4729 − 22 = 4707 → divisible by 9