Consider the following years : 1600, 1700, 1800, 1900, 2000, 2100, 220

Consider the following years :
1600, 1700, 1800, 1900, 2000, 2100, 2200, 2300 and 2400
How many leap years are there in the above?

None
3
6
9
This question was previously asked in
UPSC CAPF – 2012
The correct option is B, indicating there are 3 leap years among the given years.
A year is a leap year if it is divisible by 4, unless it is a century year. Century years are leap years only if they are divisible by 400.
The given years are 1600, 1700, 1800, 1900, 2000, 2100, 2200, 2300, and 2400.
– 1600 is divisible by 400 (1600 / 400 = 4), so it is a leap year.
– 1700 is divisible by 100 but not by 400 (1700 / 400 = 4.25), so it is not a leap year.
– 1800 is divisible by 100 but not by 400 (1800 / 400 = 4.5), so it is not a leap year.
– 1900 is divisible by 100 but not by 400 (1900 / 400 = 4.75), so it is not a leap year.
– 2000 is divisible by 400 (2000 / 400 = 5), so it is a leap year.
– 2100 is divisible by 100 but not by 400 (2100 / 400 = 5.25), so it is not a leap year.
– 2200 is divisible by 100 but not by 400 (2200 / 400 = 5.5), so it is not a leap year.
– 2300 is divisible by 100 but not by 400 (2300 / 400 = 5.75), so it is not a leap year.
– 2400 is divisible by 400 (2400 / 400 = 6), so it is a leap year.
The leap years in the list are 1600, 2000, and 2400. There are 3 leap years.
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