Question

# How many leap years are there in the set of any consecutive 400 years?

Verified
112.8K+ Views
Hint: A leap year is the year occurring once every four years and has 366 days. Also, in 100 years there are 24 leap years. A year in which is divisible by 4 and for century years it should be divisible by 400 not 100 then it is said to be leap year. For example 100 is not leap year even though it is divisible by 4 but as it is century year it should be divisible by 400. Hence 100,200,300 are not leap years. Using these conditions calculate the number of years from the given question.

So, in 100 years, leap year $= 24$years.
Therefore, in 400 years, leap years will be $= 4 \times 24 \\ = 96 \\$
So, total number of leap year in a set of any consecutive 400 years will be $= 96 + 1 \\ = 97 \\$