Question:
What was the day on 15th August, 1947?
What was the day on 15th August, 1947?
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Use either odd-day counting from a known date or Zeller congruence. Remember that $1900$ was not a leap year when counting weekday shifts.
Updated On: Aug 20, 2026
- Monday
- Tuesday
- Wednesday
- Thursday
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The Correct Option is D
Approach Solution - 1
Using the Zeller’s congruence formula, we can calculate the day of the week for any given date. For 15th August 1947, applying this formula gives us Thursday.
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Approach Solution -2
Concept:
Step 1: Find the weekday of $1$ January $1947$.
From $1900$ through $1946$ there are $47$ years and $11$ leap years. The weekday shift is $47+11=58$, and $58\bmod7=2$.
Since $1$ January $1900$ was Monday, $1$ January $1947$ was Wednesday.
Step 2: Count days before $15$ August.
$31+28+31+30+31+30+31+14=226$ days had passed, and $226\bmod7=2$.
Step 3: Shift forward from Wednesday.
Two days after Wednesday is Friday.
Final Answer: $15$ August $1947$ was Friday.
- Ordinary years shift the weekday by one day and leap years by two days.
- The year $1900$ was not a leap year, because century years must be divisible by $400$.
Step 1: Find the weekday of $1$ January $1947$.
From $1900$ through $1946$ there are $47$ years and $11$ leap years. The weekday shift is $47+11=58$, and $58\bmod7=2$.
Since $1$ January $1900$ was Monday, $1$ January $1947$ was Wednesday.
Step 2: Count days before $15$ August.
$31+28+31+30+31+30+31+14=226$ days had passed, and $226\bmod7=2$.
Step 3: Shift forward from Wednesday.
Two days after Wednesday is Friday.
Final Answer: $15$ August $1947$ was Friday.
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