Question

How many times 29th day of the month occurs in 400
consecutive years?
(a) 4800
(b) 4400
(c) 4497
​

Answer 1

Step-by-step explanation:

There are leap years every 4 years, approximately, with 3 exceptions in a 400 year cycle: years divisible by 100 but not by 400 like 1800, 1900, or 2100. So there are 97 leap years in a 400 year cycle, therefore 97 February 29ths.

The 29th of each month occurs for every year, so there are 11x400 = 4400 29ths for all other months.

The total number of 29ths in a 400 year cycle is therefore 4497.