Question

Select the option regarding the correctness of the following statement:

The squares of the numbers of the form $1,11,111,1111,11111,...$ are the palindrome numbers.

• A. True
• B. False
• C. Cannot be determined

Answer 1

The correct option is A True

The squares of the numbers which contain repeated $1$'s such as $1,11,111,1111,...$ follow a certain pattern as shown below:

$1^2=1$
${11}^2=121$
${111}^2=12,321$
${1111}^2=1,234,321$
.
.
.
and so on.

If we reverse the digits of squares of these numbers, then these would remain the same as the original numbers. So, we can say that the squares of the numbers of the form $1,11,111,1111,....$ are the palindrome numbers.

Therefore, option (a.) is the correct answer.