How many numbers between 1000 and 5000 are exactly divisible by 225 ?Options16181912

To solve this problem, we need to find the numbers between 1000 and 5000 that are divisible by 225.

Step 1: Find the first number greater than 1000 that is divisible by 225. This can be done by dividing 1000 by 225 and rounding up to the nearest whole number.

1000 / 225 = 4.44. When we round this up, we get 5.

So, the first number greater than 1000 that is divisible by 225 is 5 * 225 = 1125.

Step 2: Find the last number less than 5000 that is divisible by 225. This can be done by dividing 5000 by 225 and rounding down to the nearest whole number.

5000 / 225 = 22.22. When we round this down, we get 22.

So, the last number less than 5000 that is divisible by 225 is 22 * 225 = 4950.

Step 3: Find the total numbers between 1125 and 4950 that are divisible by 225. This can be done by subtracting the first number (5) from the last number (22) and adding 1.

22 - 5 + 1 = 18.

So, there are 18 numbers between 1000 and 5000 that are exactly divisible by 225.