UPSC 2017 CDS I Math Paper

Remainder when 44441 is divided by 9 = 7
Remainder when 44442 is divided by 9 = 4
Remainder when 44443 is divided by 9 = 1
Remainder when 44444 is divided by 9 = 7
Remainder when 44445 is divided by 9 = 4
Remainder when 44446 is divided by 9 = 1, and so on
Now, Remainder when 44443×1481 is divided by 9 = 1
Therefore, remainder when 44443×1481×4444 is divided by 9 = Remainder when 4444 is divided by 9 = 7.
Thus, the remainder when 44444444 is divided by 9 is 7.