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Question
1st January 2005 falls on a saturday. What was the day on 15th January 2010?
1st January 2005 falls on a saturday. What was the day on 15th January 2010?
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Solution
The correct option is C Friday
A year has 365 or 366 days, and 364 is a multiple of 7. So the number of days that are odd in a year is either 1 or 2.
Number of odd days in the year 2005 = 1
Number of odd days in the year 2006 = 1
Number of odd days in the year 2007 = 1
Number of odd days in the year 2008 = 2
Number of odd days in the year 2009 = 1
Extra number of days = 14 = 0 odd days
Total number of odd days = 1 + 1+ 1 + 2 + 1 = 6
Saturday + 6 odd days = Friday
So the 1st January 2010 falls on a Friday.
Therefore, 15th January 2010 also falls on a Friday since it is 14 days away.
A year has 365 or 366 days, and 364 is a multiple of 7. So the number of days that are odd in a year is either 1 or 2.
Number of odd days in the year 2005 = 1
Number of odd days in the year 2006 = 1
Number of odd days in the year 2007 = 1
Number of odd days in the year 2008 = 2
Number of odd days in the year 2009 = 1
Extra number of days = 14 = 0 odd days
Total number of odd days = 1 + 1+ 1 + 2 + 1 = 6
Saturday + 6 odd days = Friday
So the 1st January 2010 falls on a Friday.
Therefore, 15th January 2010 also falls on a Friday since it is 14 days away.
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