Which of the following is a leap year under the Gregorian rule (divisible by 4 except century years must be divisible by 400)?

Difficulty: Easy

Correct Answer: 2800

Explanation:


Introduction / Context:
Century years (ending in 00) are leap years only if divisible by 400. This corrects the over-count that would arise from applying a pure “divisible by 4” rule.


Given Data / Assumptions:

  • Test years: 1800, 2600, 2800, 3000 (all centuries).
  • Leap if and only if divisible by 400.


Concept / Approach:
Compute each ÷ 400. Only those with zero remainder are leap years; the rest are common years.


Step-by-Step Solution:

1800 ÷ 400 = 4 remainder 200 ⇒ not leap2600 ÷ 400 = 6 remainder 200 ⇒ not leap2800 ÷ 400 = 7 remainder 0 ⇒ leap3000 ÷ 400 = 7 remainder 200 ⇒ not leap


Verification / Alternative check:
Known examples: 2000 (divisible by 400) was leap; 1900 (not divisible by 400) was not leap.


Why Other Options Are Wrong:
1800, 2600, 3000 fail the divisible-by-400 condition, hence are common years.


Common Pitfalls:
Applying the “÷4” rule to centuries without the necessary 400 check.


Final Answer:
2800.

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