The correct option is D 1112
The word "Palindrome" stands for the numbers and strings that remain the same on reversing. For example, NAMAN, 1991, etc.
∙ The square of 122 is 122×122=14,884. But when we reverse the square of 122, we get 48,841, which is NOT the same as 14,884. So, the square of 122, i.e., 1222=14,884 is NOT a palindrome number.
∙ The square of 125 is 125×125=15,625. But when we reverse the square of 125, we get 52,651, which is NOT the same as 15,625. So, the square of 125, i.e., 1252=15,625 is NOT a palindrome number.
∙ The square of 127 is 127×127=16,129. But when we reverse the square of 127, we get 92,161, which is NOT the same as 16,129. So, the square of 127, i.e., 1272=16,129 is NOT a palindrome number.
∙ Finally, we need to find the value of 1112.
□ 111 consists of three 1's;
□ Write starting from 1 till the number of 1's; hence, 123––––;
□ Concatenate the reverse counting upto 1 with the last digit; hence, 12321–––
∴1112=12,321––––––––––––––––
So, the square of 111 is 12,321. When we reverse the square of 111, we get 12,321, which is same as the original number.
∴1112=12,321 is a palindrome number.
Therefore, option (d.) is the correct answer.