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

Palindromes after 12 o’clock 12:21 = 1
From 1 to 9 , it is 1.01, 1.11, 1.21, 1.31, 1.41, 1.51 = 6, similarly 2.02, 2.12…= 6
So, total palindromes from 1 to 9 is (6 * 9) 54.
Palindromes after 10 o’clock are 10:01 and 11:11
Hence total number of palindromes from noon to midnight : 54 + 1 + 2 = 57