Question

If 1st January, 2001 was a Monday, what was the day on 26th January, 2003?

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

Answer 1

The Correct Option is B

The provided problem asks us to determine the day of the week for 26th January, 2003, given that 1st January, 2001 was a Monday. We'll solve this by counting the total number of days from 1st January 2001 to 26th January 2003 and determine the day of the week.

Step 1: Calculate the number of days in each year from 2001 to 2003:

• Year 2001: Since 2001 is not a leap year, it consists of 365 days.
• Year 2002: 2002 is not a leap year, so it also has 365 days.
• January 2003: From 1st to 26th January, 2003, there are 26 days.

Step 2: Add the total number of days:

Total Days = 365 (2001) + 365 (2002) + 26 (2003) = 756 days.

Step 3: Calculate the day of the week by dividing the total days by 7:

756 ÷ 7 = 108 weeks and 0 days remainder

Since the remainder is 0, 26th January, 2003 falls on the same day of the week as 1st January, 2001. Since 1st January, 2001 was a Monday:

Therefore, 26th January, 2003 is a Sunday.

Year	Type	Days Count
2001	Normal	365
2002	Normal	365
2003 (up to Jan 26)	Partial	26
Total Days		756

Answer: Sunday

Answer 2

2001 to 2002:

• 2001 is a non-leap year, so it has 365 days.
• 365 days = 52 weeks + 1 day.
• Therefore, 1st January 2002 was Tuesday (Monday + 1 day).

2002 to 2003:

• 2002 is a non-leap year, so it has 365 days.
• 365 days = 52 weeks + 1 day.
• Therefore, 1st January 2003 was Wednesday (Tuesday + 1 day).

1st January 2003 to 26th January 2003:

• The difference between 26th January and 1st January is 25 days.
• 25 days = 3 weeks + 4 days.
• Therefore, 26th January 2003 was Sunday (Wednesday + 4 days).

Therefore, 26th January, 2003 was a Sunday.

The correct answer is Option 2.