Reasoning Ability - Calendar Problems
Using Zeller’s formula, find the day of the week for 4th July 1776 (American Independence).
Using Zeller’s formula, find the day of the week for 4th July 1776 (American Independence).
hard Q9 of 15
Step-by-Step Solution
Step 1: Inputs
q = 4,m = 7,year = 1776.Step 2: Compute K and J
K = 1776 % 100 = 76,J = floor(1776 / 100) = 17.Step 3: Evaluate components
floor(13*(7+1)/5) = floor(13*8/5) = 20;floor(K/4)=19;floor(J/4)=4;5*J = 85.
Sum:h = (4 + 20 + 76 + 19 + 4 + 85) = 208→208 mod 7 = 5.Step 4: Map result to weekday
5 → Thursday. So 4-Jul-1776 = Thursday.Final Answer:
Thursday → Option AQuick Check:
Historical sources confirm 4-Jul-1776 = Thursday ✅
Quick Trick: Apply the same formula for 1700s dates; ensure correct J for century (J=17 here).
Common Mistakes:
MISTAKES- Using incorrect century codes for 18th-century dates.
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