Discussion
If July 9th,2013 falls on Sunday then Jan 7th,2014 falls on which day?
Answer: A
Count the days from 9 July 2013 to 7 January 2014:
| Month | Days counted |
|---|---|
| July (after the 9th) | 22 |
| August | 31 |
| September | 30 |
| October | 31 |
| November | 30 |
| December | 31 |
| January (to the 7th) | 7 |
| Total | 182 |
\[ 182 = 7 \times 26 \quad\Longrightarrow\quad 182 \equiv 0 \pmod 7 \]
The interval is a whole number of weeks, so the day does not shift at all: 7 January 2014 falls on the same day as 9 July 2013, namely Sunday.
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