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How many three-digit natural numbers are divisible by 7?

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How many three-digit natural numbers are divisible by 7?

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The three digit natural numbers divisible by 7 are 105,112,119......,994

Clearly, these number are in AP.

Here, a = 105 and d = 112 - 105 = 7

Let this AP contains n terms. Then,

Hence, there are 128 three digit numbers divisible by 7.

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