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According to Zeller’s Rule, what day of the week was 26th January 1950 (Republic Day of India)?

easy Q1 of 15
Reasoning Ability - Calendar Problems
According to Zeller’s Rule, what day of the week was 26th January 1950 (Republic Day of India)?
AThursday
BFriday
CSaturday
DWednesday
Step-by-Step Solution
  1. Step 1: Adjust month/year for Zeller

    January → treat as month 13 of previous year. So use: q = 26, m = 13, year = 1949.
  2. Step 2: Compute K and J

    K = 1949 % 100 = 49, J = floor(1949 / 100) = 19.
  3. Step 3: Evaluate formula components

    floor(13*(m+1)/5) = floor(13*14/5) = 36;
    floor(K/4)=12;
    floor(J/4)=4;
    5*J = 95.
    Sum: h = (26 + 36 + 49 + 12 + 4 + 95) = 222222 mod 7 = 5.
  4. Step 4: Map result to weekday

    Zeller mapping used here: 0=Saturday, 1=Sunday, 2=Monday, 3=Tuesday, 4=Wednesday, 5=Thursday, 6=Friday. So h=5Thursday.
  5. Final Answer:

    Thursday → Option A
  6. Quick Check:

    Alternate odd-day methods and historical calendars confirm 26-Jan-1950 was Thursday ✅
Quick Trick: For Jan/Feb use month 13/14 of previous year; reduce the sum modulo 7 early.
Common Mistakes:
MISTAKES
  • Forgetting to decrement the year for Jan/Feb or mis-mapping Zeller's h value.
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