Reasoning Ability - Calendar Problems
How many leap years are there between 2000 and 2100 (both inclusive)?
How many leap years are there between 2000 and 2100 (both inclusive)?
medium Q5 of 15
Step-by-Step Solution
Step 1: Define the range
We count leap years from 2000 through 2100 inclusive.Step 2: Count multiples of 4
Number of years divisible by 4 = floor(2100/4) − floor(1999/4) = 525 − 499 = 26.Step 3: Exclude non-leap century years
2100 is a century year not divisible by 400, so it is not a leap year → 26 − 1 = 25.Final Answer:
25 → Option BQuick Check:
2000 is included and is leap; 2100 is not leap → total 25.
Quick Trick: Count multiples of 4, then subtract century years not divisible by 400.
Common Mistakes:
MISTAKES- Confusing inclusive/exclusive endpoints or including 2100 as a leap year.
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