Question

the number of even numbers in between 100 and 500 and divisible by 3 is

Answer 1

First let us consider the numbers between 100 - 500 divisible by 3
First number is 102 and the last number is 498
There are 133 numbers which are divisible by 3 from 102 to 498
Second let us find the numbers between 100 - 500 which are divisible by 7
First number is 105 and the last number is 497.
There are 57 numbers from 105 to 497 that are divisible by 7
Third let us find the numbers between 100 - 500 which are divisible by both 3 and 7
First number is 105 and last number is 483
There are 19 numbers from 105 to 483 which are divisible by both 3&7 [i,e,by 21]
The total numbers between 100 - 500 that are divisible by 3 or 7 is
133 + 57 - 19 = 171


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