Question

Step-by-step explanation:
The seven digit number ( 876 p 37 q ) is divisible by ( 225 . )
And ( 225=9 times 25 )
So, the given number would also be
divisible by 9 and 25
We know if a number is divisible by 25
its last two digit must be multiple of 25
i.e. ( 00,25,50, ) or 75
So it is clear that ( mathrm{q} ) can not be 0 hence
it would be ( 5 . )
Now, the number is divisible by ( 9, ) so according to the divisibility by ( 9, ) the sum of digits of the given number must be divisible by 9.
Sum of digits ( =8+7+6+p+3+7+5=36+p )
So, the number to be divisible by ( 9, p ) can have the value either 0 or 9 .

# 2. The seven-digit number 876 p37q is divisible by 225. The values of p and q can be respectively [CDS 2015 (11)]

Solution