How many natural numbers are there between 23 and 100, which are exactly divisible by 6?
Question
How many natural numbers are there between 23 and 100, which are exactly divisible by 6?
Solution
To find the number of natural numbers between 23 and 100 that are exactly divisible by 6, we need to follow these steps:
Step 1: Determine the smallest natural number greater than or equal to 23 that is divisible by 6. In this case, it is 24.
Step 2: Determine the largest natural number less than or equal to 100 that is divisible by 6. In this case, it is 96.
Step 3: Calculate the difference between the two numbers obtained in steps 1 and 2. In this case, it is 96 - 24 = 72.
Step 4: Divide the difference obtained in step 3 by 6 to find the number of natural numbers between 23 and 100 that are divisible by 6. In this case, it is 72 / 6 = 12.
Therefore, there are 12 natural numbers between 23 and 100 that are exactly divisible by 6.
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