Question

If 22 September 2024 is a Sunday, then what day will 16 August 2025 be?

Hint:

For day–date problems: \begin{itemize} \item Count total number of days between dates, \item Reduce the total modulo 7, \item Move forward by the remainder to find the day. \end{itemize}

Answer 1

Step 1: From 22 September 2024 to 31 December 2024: \[ \text{September (remaining)} = 8,\; \text{October} = 31,\; \text{November} = 30,\; \text{December} = 31 \] Total days \(= 100\).
Step 2: Since 2025 is not a leap year, days from 1 January 2025 to 16 August 2025: \[ 31 + 28 + 31 + 30 + 31 + 30 + 31 + 16 = 228 \]
Step 3: Total number of days between the two dates: \[ 100 + 228 = 328 \]
Step 4: \[ 328 \equiv 6 \pmod{7} \] So, the day advances by 6 days.
Step 5: Counting 6 days from Sunday: \[ \text{Sunday} \rightarrow \text{Saturday} \]