Which of the following is a leap year ?

Question

Accepted Answer

To determine which of the given years is a leap year, we need to understand the rules that define a leap year. According to the Gregorian calendar, a year is a leap year if:

1. It is divisible by 4.
2. However, if the year is divisible by 100, it is not a leap year, unless:
3. The year is also divisible by 400, in which case it is a leap year.

Now, let's apply these rules to each of the options:

1. **1800**: 
   - 1800 is divisible by 4 (1800 ÷ 4 = 450).
   - However, 1800 is also divisible by 100 (1800 ÷ 100 = 18), which means it is not a leap year unless it is divisible by 400.
   - 1800 is not divisible by 400 (1800 ÷ 400 = 4.5), so it is not a leap year.

2. **1900**: 
   - 1900 is divisible by 4 (1900 ÷ 4 = 475).
   - 1900 is also divisible by 100 (1900 ÷ 100 = 19), which means it is not a leap year unless it is divisible by 400.
   - 1900 is not divisible by 400 (1900 ÷ 400 = 4.75), so it is not a leap year.

3. **1700**: 
   - 1700 is divisible by 4 (1700 ÷ 4 = 425).
   - 1700 is also divisible by 100 (1700 ÷ 100 = 17), which means it is not a leap year unless it is divisible by 400.
   - 1700 is not divisible by 400 (1700 ÷ 400 = 4.25), so it is not a leap year.

4. **2000**: 
   - 2000 is divisible by 4 (2000 ÷ 4 = 500).
   - 2000 is also divisible by 100 (2000 ÷ 100 = 20), which means it is not a leap year unless it is divisible by 400.
   - 2000 is divisible by 400 (2000 ÷ 400 = 5), so it is a leap year.

Therefore, based on the rules of the Gregorian calendar, the year 2000 is a leap year, which makes Option 4 the correct answer. The other options (1800, 1900, and 1700) do not satisfy the conditions for being a leap year because they are not divisible by 400, even though they are divisible by 4 and 100.