Question 1 - Figure it out - Page 125, 126 - Chapter 5 Class 6 - Prime Time (Ganita Prakash)

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Question 1 2024 is a leap year (as February has 29 days). Leap years occur in the years that are multiples of 4, except for those years that are evenly divisible by 100 but not 400. a. From the year you were born till now, which years were leap years? b. From the year 2024 till 2099, how many leap years are there?Let’s assume you were born in 2004 To find the leap years, list all the years that are multiples of 4 since you were born. So, basically we need last two digits as multiples of 4 (i.e. 04, 08, 12, 16, 20, …) Since you are born in 2004, the leap years would be 2004, 2008, 2012, 2016, 2020, and 2024. b. From the year 2024 till 2099, how many leap years are there? Here, we have list years where last two digits as multiples of 4 (i.e. 04, 08, 12, 16, 20, …) Thus, leap years from 2024 till 2099 are 2024 2028 2032 2036 2040 2044 2048 2052 2056 2060 2064 2068 2072 2076 2080 2084 2088 2092 2096 Thus, 19 leap years are there between 2024 and 2099