What is the product of $111\times 11$?

The correct option is (A),

We can do the multiplication of $111\times 11$ using the steps given below. 

Step 1: Multiply $1$ by each digit of $111$

Step 2: Place a zero on ones place below the product obtained above.

Step 3: Now, multiply $1$ by each digit of $111$

Step 4: Add the two products to obtain the final answer.

Therefore, the product of $111\times 11$ is $1221$.