In order to make the most accurate calendar, the following system was devised. Leap years occur every 4 years except for years ending in 00, but years divisible by 400 are leap years. In this case, the year is a leap year if it is divisible by 400. Which of the following years are leap years? 1500, 1776, 2100, 2424
1776,2424
To determine whether a year is a leap year or not, we need to follow the given system:
1. A year is a leap year if it is divisible by 400.
2. A year is not a leap year if it is divisible by 100, but not divisible by 400.
3. A year is a leap year if it is divisible by 4, but not divisible by 100.
Now let's apply this system to the years mentioned:
1. Year 1500:
- Is it divisible by 400? Yes
- Therefore, 1500 is a leap year.
2. Year 1776:
- Is it divisible by 400? No
- Is it divisible by 100 and not divisible by 400? Yes
- Therefore, 1776 is not a leap year.
3. Year 2100:
- Is it divisible by 400? No
- Is it divisible by 100 and not divisible by 400? Yes
- Therefore, 2100 is not a leap year.
4. Year 2424:
- Is it divisible by 400? No
- Is it divisible by 100 and not divisible by 400? No
- Is it divisible by 4 and not divisible by 100? Yes
- Therefore, 2424 is a leap year.
So, out of the given years, 1500 and 2424 are leap years.