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Difficulty: EasyClocks and Calendars

To correctly calculate dates across decades, one must accurately identify which years contain 366366 days. According to the rules of the Gregorian calendar, which of the following groups of years contains ONLY leap years?

  1. A
    1988,1996,21001988, 1996, 2100
  2. 1896,1904,20001896, 1904, 2000Answer
  3. C
    1900,1992,20041900, 1992, 2004
  4. D
    2008,2012,20182008, 2012, 2018

Answer

The group containing 1896,19041896, 1904, and 20002000
The correct answer contains years that all perfectly satisfy leap year conditions. Both 18961896 and 19041904 are non-century years that divide evenly by 44. The year 20002000 is a century year that divides evenly by 400400. Therefore, all three are leap years.

Step-by-Step Solution

1
Recall the rules for determining a leap year.
A standard year is a leap year if it is divisible by 44. However, century years (ending in 0000) are only leap years if they are exactly divisible by 400400.
To evaluate each individual year listed in the options.
2
Evaluate the group containing 1896,19041896, 1904, and 20002000.
18961896 and 19041904 are divisible by 44. The year 20002000 is a century year and is divisible by 400400.
This confirms all years in this specific group satisfy the leap year rules.
3
Evaluate the remaining groups to find their non-leap years.
The year 21002100 is not divisible by 400400, the year 19001900 is not divisible by 400400, and the year 20182018 is not divisible by 44.
To eliminate the incorrect choices based on the presence of standard years.

Key Concept

Century Leap Year Logic
Estimated Time:45s
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Topics

Clocks and Calendars

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