Question

how many three digit numbers are divisible by 3 ?

Answer 1

➡HERE IS YOUR ANSWER⬇

Smallest 3 digit number, divisible by 3 is 102 and the largest 3 digit number, divisible by 3 is 999.

We make a sequence in AP :

102, 105, 108, ... , 996, 999

The first term = 102

The second term = 105

So, common difference = 3.

We consider 999 as the nth term.

We know that :

n-th term in AP

= first term + {(n-1)×common difference}

=> 999 = 102 + (n-1)×3

=> 3n - 3 = 897

=> 3n = 900

=> n = 300

Therefore, there are 300 3-digit numbers, divisible by 3.

⬆HOPE THIS HELPS YOU⬅