Which of the following is the leap year?

20252025

Which of the following is the leap year?

  1. A.

    2100

  2. B.

    1900

  3. C.

    2000

  4. D.

    1800

Attempted by 4 students.

Show answer & explanation

Correct answer: C

A calendar year is a leap year if it is divisible by 4. However, this ordinary rule is overridden for a century year (a multiple of 100) — a century year is a leap year only if it is also divisible by 400.

Check each century year given in the options against this rule:

  • 2100 ÷ 400 = 5.25 → not a whole number, so 2100 is NOT a leap year.

  • 1900 ÷ 400 = 4.75 → not a whole number, so 1900 is NOT a leap year.

  • 1800 ÷ 400 = 4.5 → not a whole number, so 1800 is NOT a leap year.

  • 2000 ÷ 400 = 5 exactly → a whole number, so 2000 IS a leap year.

Among the four options, only 2000 satisfies both conditions for a century leap year (divisible by 4 and by 400); the other three are divisible by 100 but fail the divisibility-by-400 test, confirming 2000 is the correct leap year among those given.

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