How many leap years were there from 1601 to 2000 (both years included)?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 97
A year is a leap year when it is divisible by 4, except a century year (ending in 00), which is a leap year only when it is divisible by 400.
Years divisible by 4 from 1601 to 2000: 1604, 1608, …, 2000, that is \(\displaystyle \frac{2000-1604}{4}+1=100\) years
Century years among them: 1700, 1800, 1900 and 2000
1700, 1800 and 1900 are not divisible by 400, so they are not leap years; \(2000=5\times400\), so 2000 is a leap year
Leap years \(=100-3=97\)