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Question
Which year’s calendar will look the same as that of 2037?
Which year’s calendar will look the same as that of 2037?
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Solution
The correct option is B 2043
Every normal year has 365 days → 52 weeks + 1 odd day
Every leap year has 366 days → 52 weeks + 2 odd days
Count the number of odd days from the year 2037 onwards to get the sum equal to 7 odd days.
Year
2037
2038
2039
2040
2041
2042
Odd days
1
1
1
2
1
1
7 odd days have added up to a week and the calendar of 2043 will be starting with the same day of the week, and hence will have an identical calendar.
Every normal year has 365 days → 52 weeks + 1 odd day
Every leap year has 366 days → 52 weeks + 2 odd days
Count the number of odd days from the year 2037 onwards to get the sum equal to 7 odd days.
|
Year |
2037 |
2038 |
2039 |
2040 |
2041 |
2042 |
|
Odd days |
1 |
1 |
1 |
2 |
1 |
1 |
7 odd days have added up to a week and the calendar of 2043 will be starting with the same day of the week, and hence will have an identical calendar.
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