Question

the seven digit number 876p37q is divisible by 225. the values of p and q can be respectively?

Answer 1

Answer: p can have two values 0 and 9. q can have only one value i.e. 5.

Step-by-step explanation:

The seven digit number 876p37q is divisible by 225.

And 225= 9x25

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 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.

Answer 2

Step-by-step explanation:

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