The correct answer is Option (3) → Friday
To determine the day of the week on 12 January 2024 based on the fact that 16 January 2023 was a Monday, we can follow these steps:
- Calculate the total number of days between the two dates:
- From 16 January 2023 to 16 January 2024 is exactly 365 days (since the leap day of 2024, February 29, has not yet occurred).
- Since we need the date for 12 January 2024, we subtract 4 days from 16 January 2024.
- Total days = $365 - 4 = 361$ days.
- Find the number of "odd days" (remainder after dividing by 7):
- $361 \div 7 = 51$ weeks and 4 odd days.
- Count forward from the known day:
- Monday + 4 days = Friday (Monday $\rightarrow$ Tuesday $\rightarrow$ Wednesday $\rightarrow$ Thursday $\rightarrow$ Friday).
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