January 1, 2006, was a **Sunday**. What day of the week was January 1, 2010?

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Accepted Answer

To calculate the day of the week for January 1, 2010, starting from January 1, 2006 (Sunday), we determine the total number of days between these two dates and then find the remainder when divided by 7 (since there are 7 days in a week).

From **2006 to 2009**, we have:
- **2006, 2007, and 2009** are regular years with **365 days each**.
- **2008** is a leap year with **366 days**.

The total number of days is:
$$
3 	imes 365 + 366 = 1461 \, 	ext{days}.
$$

Now, divide the total days by 7 to find the remainder:
$$
1461 \mod 7 = 5.
$$

This means that January 1, 2010, is **5 days ahead of Sunday (January 1, 2006)**. Counting forward:
- Sunday + 5 days = **Friday**.

Thus, January 1, 2010, was a **Friday**.

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