Question
Find the smallest 6 digit number exactly divisible by 111.
A. 100011
B. 110011
C. 100001
D. 110001
Answer: A
Solution:
Smallest 6 digit number = 100000
When 100000 is divided by 111, the quotient is 900 and the remainder is 100.
The number would be divisible by 111 if the difference between 99900 (the number just lesser than 100000 that is divisible by 111) and the next divisible number is 111.
Thus, the smallest 6 digit number divisible by 111 is 99900 + 111 = 100011