Answer:
Option d.
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

If the missing number is 6, then sum of all digits is

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

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

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

18 is divisible by 9, so the missing number is 8.
Therefore, the correct option is d.