A hundred digit number is formed by writing first 54 natural numbers in front of each other as 12345678910111213……. Find the remainder when is divided by 8.
Solution
We know that any number is divided by 8, if the number formed by the last 3 digits is divisible by 8, and the same rules will be optically to find the remainder.
Now, the last 3 digits in the hundred digit number of the from is 545, therefore, the remainder when 545 is divided by 8 is 1.