Question

how many numbers between 1000 and 8000 exactly divisible by 225

Answer 1

The first number exactly divisible by 225 =
225 ×5 = 1125, because 225 × 4 is 900 which is less than 1000.

Now, the last number exactly divisible by 225 =

To find this :-

8000 ÷ 225 will give us 125 as the remainder. So, subtracting 125 from 8000 will give us the number which is exactly divisible by 225 and that number is 8000 - 125 = 7875.

So, numbers between 1000 and 8000, which are exactly divisible by 225 are :-

1125, 1350, ..........., 7875

Here, nth term = 7875

=> a + (n - 1)d = 7875

=> 1125 + (n - 1)225 = 7875

=> (n - 1)225 = 6750

=> n = 31

Hence, there 31 numbers between 1000 and 8000 which are exactly divisible by 225.

Hope it'll help you.....