Question

The smallest 6 – digit number exactly divisible by 111 is:-
a. 111111
b. 110011
c. 100011
d. 110101

Answer 1

HINT:- Let us first find out which is the smallest 6 – digit number. The smallest six – digit number is 100000. In other words, we can say that the smallest number that has six digits is 100000.

Complete step by step answer:

Let us now solve this question.
As mentioned in the hint, the smallest six – digit number is 100000.
We need to find the smallest 6 – digit number exactly divisible by 111.
Let us divide 100000 by 111.

We can see that when we divide 100000 by 111, the remainder that is left is 100.
Therefore, we need to add the difference of 111 and 100 to 100000.
That is, the number to be added to the smallest six – digit number, i.e. 1000000 is: (111 – 100) = 11
Hence, the number we get is 100011.
So, the answer to this question is 100011.
This means that the smallest six – digit number that is completely divisible by 111 is 100011.
So, the answer to this question is 100011.

Therefore, the correct option is (c) 100011.

NOTE:- One must do all the calculations very carefully in this question. And not only in this question, the student should be very careful while solving any such question as any mistake in the calculations can make the answer wrong.