Question

If 8th February, 2005 was a Tuesday, then what was the day on 8th February, 2004?

• A. Tuesday
• B. Monday
• C. Sunday
• D. Wednesday

Answer 1

The Correct Option is C

To determine the day of the week on 8th February, 2004, given that 8th February, 2005 was a Tuesday, we need to consider the number of days between these two dates and use the fact that 2004 was a leap year. 

1. Identify whether 2004 is a leap year: A leap year is divisible by 4. Since 2004 divided by 4 gives a remainder of 0, 2004 is a leap year.
2. Calculate the total number of days from 8th February, 2004 to 8th February, 2005.
   • From 8th February, 2004 to 8th February, 2005, there is exactly one year.
   • Being a leap year, 2004 has 366 days instead of the usual 365 days in a non-leap year.
3. Understand how the day of the week changes: Every non-leap year, the same date advances to the next day of the week in the next year. However, for leap years, it advances by two days because the year has an extra day (366 days).
4. Calculate the day of the week for 8th February, 2004: Since 8th February, 2005 is a Tuesday and 2004 is a leap year, we will subtract 2 days from Tuesday to find the day on 8th February, 2004.
   • Subtracting 1 day from Tuesday gives us Monday.
   • Subtracting another day gives us Sunday.

Therefore, the day on 8th February, 2004 was Sunday.

Answer 2

Since 2004 was a leap year, the number of days from 8th February, 2004 to 8th February, 2005 is 366 days. To find the day of the week, we calculate the remainder when 366 is divided by 7:

\[ 366 \div 7 = 52 \, \text{weeks and 2 extra days} \]

Thus, the day on 8th February, 2004 was two days before Tuesday, which is Sunday.