How many leap years were there from 1801 to 2000 (both years included)?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 49
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 1801 to 2000: 1804, 1808, …, 2000, that is \(\displaystyle \frac{2000-1804}{4}+1=50\) years
Century years among them: 1900 and 2000
\(1900\div400=4.75\), so 1900 is not a leap year; \(2000=5\times400\), so 2000 is a leap year
Leap years \(=50-1=49\)