UPSC 2015 CDS II Math Paper

225=25×9
A number is divisible by 225 if it is divisible by both 25 and 9. A number is divisible by 25 if it ends with 00, 25, 50 or 75, whereas a number is divisible by 9 if the sum of its digits is divisible by 9.
The 876p37q is divisible by 25 if q = 5
When q=5
Sum of the digits (36 + p) is divisible by 9 if p = 0 or p = 9.
Thus, the values of p and q can respectively be 0 and 5 or 9 and 5.
Therefore options (c) and (d) both are correct