How many natural numbers less than 200 are divisible by 4 but not divisible by 3.

Natural numbers are those numbers used for counting and ordering. Numbers that used for counting are called cardinal numbers, and numbers that used for ordering are called ordinal numbers. Natural numbers are positive numbers which start from one up to infinity.

Now, to answer the question, firstly we need to find out all the natural numbers which are less than 200 and divisible by 4. We need to find out all those numbers that can be divided by 4, start from 4 up to 200. Those numbers are:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 54, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 94, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 154, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 194, 196, 200

So, there are 50 natural numbers that are less than 200 and divisible by 4.

Now, we need to find out the numbers that are divisible by 3 among these numbers. We need to find out all those numbers that are divisible by 3, start from 4 up to 200. Because 4 is the first number among the numbers that we found out earlier which are divisible by 4. And the numbers are:

12, 24, 36, 48, 54, 60, 72, 84, 96, 108, 120, 124, 132, 144, 156, 168, 180, 192

There are 18 natural numbers in total.

Hence, natural numbers less than 200 which are divisible by 4 but not divisible by 3 is 50 – 18 = 32.

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