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in Mathematics by (33.0k points)

How many numbers are there between 101 and 999, which are divisible by both 2 and 5?

1 Answer

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The numbers which are divisible by both 2 and 5 are divisible by 10 also. 

Now, the numbers between 101 and 999 which are divisible 10 are 110, 120, 130, .., 990. 

Clearly, these number are in AP

Here, a = 110 and d =120 -110 = 10 

Let this AP contains n terms. Then,

Hence, there are 89 numbers between 101 and 999 which are divisible by both 2 and 5.

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