Question

$48$_$8$ is divisible by $8$. What are the possible whole numbers that can fill the blank?

• A. 0, 8 and 9
• B. 1, 4 and 8
• C. 0, 4 and 8
• D. 2, 4 and 8

Answer 1

The correct option is C 0, 4 and 8

Divisibility by 8: Last three digits of the number must be divisible by 8.
In $8$_$8$, place value of hundred place 8 is 800.
800 is divisible by 8. Hence we need to check only the last two digits of this particular number.
Putting 0, we get 08, which is divisible by 8.
Putting 1, we get 18, which is not divisible by 8.
Similarly, putting 4 and 8, the number is divisible by 8.