Question : Directions: Which of the following calendars will be the same as the calendar for the year 2003?
Option 1: 2014
Option 2: 2013
Option 3: 2012
Option 4: 2011
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Correct Answer: 2014
Solution :
In a leap year, 366 days→2 odd days
In a non-leap year, 365 days→1 odd day
Calculating the number of odd days from 2003,
2004→2 odd days (leap year)
2005→1 odd day
2006→1 odd day
2007→1 odd day
2008→2 odd days (leap year)
2009→1 odd day
2010→1 odd day
2011→1 odd day
2012→2 odd days (leap year)
2013→1 odd day
2014→1 odd day
total number of odd years in 2011→10
Since 10 ÷ 7 gives a remainder of 3, the calendar will not be the same.
total number of odd years in 2012→12
Since 12 ÷ 7 gives a remainder of 5, the calendar will not be the same.
total number of odd years in 2013→13
Since 13 ÷ 7 gives a remainder of 6, the calendar will not be the same.
total number of odd years in 2011→14
Since 14 ÷ 7 gives a remainder of 0, the calendar will be the same.
So, the calendar of 2003 will be the same as that of 2014.
Therefore, 2014 is the required answer. Hence, the first option is correct.
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