Brain Teasers
Calendar Troubles !!!
Fun: (2.33)
Difficulty: (1.73)
Puzzle ID: #19049
Submitted By: lesternoronha1 Corrected By: horse_luver
Submitted By: lesternoronha1 Corrected By: horse_luver
The other day, I was going through the calendar looking for the next holiday that comes on a weekday because I just love holidays. Just then I observed that this calendar year had started with a Sunday and ended with a Sunday too. If I had delved into further observations about this calendar year, I would have observed that one of the statements given below about this year was false. Which one?
1) This calendar year is not a leap year.
2) In this calendar year, the 15th of January and 15th of October fall on the same day of the week.
3) In this calendar year, the 10th of July and 10th of October fall on the same day of the week.
4) There will be 53 Sundays in this calendar year.
1) This calendar year is not a leap year.
2) In this calendar year, the 15th of January and 15th of October fall on the same day of the week.
3) In this calendar year, the 10th of July and 10th of October fall on the same day of the week.
4) There will be 53 Sundays in this calendar year.
Answer
Statement 3 is falseThe statements given about the calendar year are
1) This calendar year is not a leap year.
2) In this calendar year, the 15th of January and 15th of October fall on the same day of the week.
3) In this calendar year, the 10th of July and 10th of October fall on the same day of the week.
4) There will be 53 Sundays in this calendar year.
Since the calendar year started with a Sunday and ends with a Sunday too, the year must not be a leap year, since only non leap years start and end on the same day of the week. Hence statement 1 is definitely true.
Also in a non leap year, the calendar of January matches with that of October. Hence the 15th of January and 15th of October must fall on the same day of the week. Hence statement 2 is also true.
Lastly if a year starts on a Sunday and ends on a Sunday too, that calendar year has 53 Sundays. Hence statement 4 is also true.
Thus statement 3 which states that the 10th of July and 10th of October fall on the same day of the week should be false.
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