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What day of the week was 31st December 1999?

medium Q15 of 15
Reasoning Ability - Calendar Problems
What day of the week was 31st December 1999?
AFriday
BThursday
CSaturday
DSunday
Step-by-Step Solution
  1. Step 1: Month > 2 (no adjustment)

    q = 31, m = 12, year = 1999.
  2. Step 2: Compute K and J

    K = 99, J = 19.
  3. Step 3: Evaluate formula pieces

    floor(13*(12+1)/5)=33;
    floor(K/4)=24;
    floor(J/4)=4;
    5J=95.
    Sum: h = (31 + 33 + 99 + 24 + 4 + 95) = 286286 mod 7 = 6.
  4. Step 4: Map to weekday

    Zeller mapping: 6 → Friday. So 31 Dec 1999 = Friday.
  5. Final Answer:

    Friday → Option A
  6. Quick Check:

    Day before 1 Jan 2000 (Saturday) is Friday ✅
Quick Trick: After computing h, map Zeller's index carefully (0=Sat,…,6=Fri) and cross-check adjacent known dates.
Common Mistakes:
MISTAKES
  • Reading h directly as conventional weekday without applying the mapping.
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