Answer:
Option d.
Step-by-step explanation:
The given number is
_2,530
We need to find the missing digit so that the given number is divisible by 9.
Rule of divisibility of 9 : If the sum of all digits of a number is divisible by 9, then that number must be divisible by 9.
The sum of given digits is
[tex]2+5+3+0=10[/tex]
If the missing number is 6, then sum of all digits is
[tex]6+10=16[/tex]
16 is not divisible by 9, so 6 can not be the missing number.
If the missing number is 5, then sum of all digits is
[tex]5+10=15[/tex]
15 is not divisible by 9, so 5 can not be the missing number.
If the missing number is 7, then sum of all digits is
[tex]7+10=17[/tex]
17 is not divisible by 9, so 7 can not be the missing number.
If the missing number is 8, then sum of all digits is
[tex]8+10=18[/tex]
18 is divisible by 9, so the missing number is 8.
Therefore, the correct option is d.
