Reasoning Ability - Calendar Problems
What day of the week was 29th February 2000 (leap day)?
What day of the week was 29th February 2000 (leap day)?
medium Q14 of 15
Step-by-Step Solution
Step 1: Treat February as month 14 of previous year
For Zeller useq = 29,m = 14,year = 1999.Step 2: Compute K and J
K = 1999 % 100 = 99,J = floor(1999/100) = 19.Step 3: Evaluate components
floor(13*(m+1)/5) = floor(13*15/5) = 39;floor(K/4)=24;floor(J/4)=4;5J=95.
Sum:h = (29 + 39 + 99 + 24 + 4 + 95) = 290→290 mod 7 = 3.Step 4: Map to weekday
Zeller mapping:3 → Tuesday. So 29 Feb 2000 = Tuesday.Final Answer:
Tuesday → Option DQuick Check:
Historical references list 29-Feb-2000 as Tuesday ✅
Quick Trick: For Feb in leap years use month = 14 and previous year; reduce modulo 7 early to simplify arithmetic.
Common Mistakes:
MISTAKES- Mismapping Zeller's h to weekday names or forgetting to shift year for Jan/Feb.
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