Question

How many palindromes are there in a clock from noon to midnight ( for example 5.45 is a palindrome)?

Answer 1

Answer:

The total number of Palindromes from noon to midnight is 57.

Step-by-step explanation:

Consider the provided information.

A palindrome is a word, number or sequence reading the same reverse as the front.

After 12 O'clock the next Palindromes is 12:21 = 1 Palindromes

From 1 to 9 each hours have 6 Palindromes.

For example: 1:01, 1:11, 1:21 1:31, 1:41, 1:51 = 6 Palindromes.

Same will happen from 2 to 9.

Thus, from 1 to 9 we have 9×6 = 54 Palindromes

After 10 O'clock there will be fewer Palindromes

10:01 and 11:11 = 2 Palindromes

Now, add all the Palindromes:

1+54+2 = 57 Palindromes

Hence, the total number of Palindromes from noon to midnight is 57.