Question Details

If 23 January 2002 was Wednesday, then what was the day of the week on 26 January 2007?

Options

A

Friday

B

Sunday

C

Monday

D

Saturday

Show Answer

Correct Answer :

Option A

Friday

Solution :

The correct answer is Option A: Friday.

To find the day of the week on 26 January 2007 given that 23 January 2002 was Wednesday, we can calculate the total number of odd days between the two dates.

Step 1: Calculate odd days for the years from 23 January 2002 to 23 January 2007
The number of years between 23 January 2002 and 23 January 2007 is 5 years.
Let's determine the leap years and ordinary years in this period:

  • 2002 is an ordinary year (1 odd day)
  • 2003 is an ordinary year (1 odd day)
  • 2004 is a leap year (2 odd days)
  • 2005 is an ordinary year (1 odd day)
  • 2006 is an ordinary year (1 odd day)
Total odd days from 23 January 2002 to 23 January 2007 = 1 + 1 + 2 + 1 + 1 = 6 odd days.

Step 2: Determine the day of the week on 23 January 2007
Adding 6 odd days to Wednesday:
Wednesday + 6 days = Tuesday.
So, 23 January 2007 was a Tuesday.

Step 3: Calculate the day on 26 January 2007
Now, find the number of remaining days from 23 January 2007 to 26 January 2007:
26 - 23 = 3 days.
Adding 3 days to Tuesday:
Tuesday + 3 days = Friday.

Therefore, the day of the week on 26 January 2007 was Friday.

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