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A number that is divisible by 4 and 6 must be divisible by the LCM of 4 and 6 which is 12.

100/12 = 8.33

200/12 = 16.67

So, there are 16 numbers below 200 that are divisible by 4 and 6 and, of these, 8 are smaller than 100. That gives 16 - 8 = 8 between 100 and 200.

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