If 5th December 1998 is Saturday, what day was 5th January 1999?MondaySundayWednesday Tuesday

Break Down the Problem

1. Identify the starting day: 5th December 1998 is a Saturday.
2. Determine the number of days between 5th December 1998 and 5th January 1999.
3. Calculate the day of the week for 5th January 1999 based on the number of days elapsed.

Relevant Concepts

• Each week has 7 days. The day of the week can be determined by counting days forward and taking the modulus with respect to 7.

Analysis and Detail

1. From 5th December 1998 to 5th January 1999, there are 31 days (since December has 31 days).

2. Calculate the number of weeks and additional days: $31 \div 7 = 4 \quad \text{remainder} \, 3$ This means there are 4 complete weeks and 3 extra days.

3. Starting from Saturday (5th December 1998):

   • 1st day: Sunday
   • 2nd day: Monday
   • 3rd day: Tuesday

Verify and Summarize

After adding 3 days to Saturday (5th December 1998), we land on Tuesday (5th January 1999).

Final Answer

5th January 1999 was a Tuesday.