How many palindromes are there in a clock from noon to midnight ( For Example…

Answer: 57

Explanation:

• Consider times in H:MM format from noon (12:00) to midnight (11:59 PM). A palindromic reading ignores the colon (or dot) and reads the same forwards and backwards.

• Hour 12 gives one palindrome: 12:21.

• For hours 1 through 9 (single-digit hours), palindromes have the form h:bm where the minute's units digit equals the hour. The tens digit of the minute can be 0–5, so each such hour yields 6 palindromes. That is 6 × 9 = 54 palindromes.

• For two-digit hours 10 and 11, each produces one palindrome: 10:01 and 11:11 (one each), adding 2 more.

• Total palindromes = 1 (from 12) + 54 (from hours 1–9) + 2 (from 10 and 11) = 57.