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Example 9: Century leap year evaluation

Last Updated On: Sat Aug 29 2026

Given Data

  1. Given century years: 1800, 1900, 2000, 2100.

Question

Which of the given century years is a leap year?

Answer

2000.

Solution

  1. Recall the century leap year rule:
  2. A century year (ending in 00) is a leap year ONLY if it is divisible by 400.
  3. Check each year:
  4. 1800 / 400 = 4.5 (Not divisible -> Ordinary year).
  5. 1900 / 400 = 4.75 (Not divisible -> Ordinary year).
  6. 2000 / 400 = 5 (Exactly divisible -> Leap year).
  7. 2100 / 400 = 5.25 (Not divisible -> Ordinary year).
  8. Therefore, 2000 is the only leap year among the choices.
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