How many leap years were there from 1801 to 1900 (both years included)?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 24
An ordinary year is a leap year when it is divisible by 4, but a century year (ending in 00) is a leap year only when it is divisible by 400.
Years divisible by 4 from 1801 to 1900: 1804, 1808, …, 1900
Their number \(\displaystyle =\frac{1900-1804}{4}+1=24+1=25\)
1900 is a century year and \(1900\div400=4.75\) is not a whole number, so 1900 is not a leap year
Leap years \(=25-1=24\)