Aptitude - Calendar
1.
Today is Monday. After 61 days, it will be:
Answer
Each day of the week is repeated after 7 days.
So, after 63 days, it will be Monday.
∴ After 61 days, it will be Saturday.
Answer :
Option DExplanation :
Each day of the week is repeated after 7 days.
So, after 63 days, it will be Monday.
∴ After 61 days, it will be Saturday.
2.
On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004 ?
Answer
The year 2004 is a leap year. It has 2 odd days.
∴ The day on 8th Feb, 2004 is 2 days before the day on 8th Feb, 2005.
Hence, this day is Sunday.
Answer :
Option CExplanation :
The year 2004 is a leap year. It has 2 odd days.
∴ The day on 8th Feb, 2004 is 2 days before the day on 8th Feb, 2005.
Hence, this day is Sunday.
3.
The calendar for the year 2007 will be the same for the year :
Answer
The calendar will be same only if no of odd days = 0.
Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.
In 2018 we will have total Sum = 14 odd days, which is 0 odd days.
∴ Calendar for the year 2018 will be the same as for the year 2007.
Answer :
Option DExplanation :
The calendar will be same only if no of odd days = 0.
Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.
In 2018 we will have total Sum = 14 odd days, which is 0 odd days.
∴ Calendar for the year 2018 will be the same as for the year 2007.
4.
01-01-2007 was Monday. What day of the week lies on Jan. 1, 2008 ?
Answer
The year 2007 is an ordinary year. So, it has 1 odd day.
1st day of the year 2007 was Monday.
1st day of the year 2008 will be 1 day beyond Monday.
Hence, it will be Tuesday.
Answer :
Option BExplanation :
The year 2007 is an ordinary year. So, it has 1 odd day.
1st day of the year 2007 was Monday.
1st day of the year 2008 will be 1 day beyond Monday.
Hence, it will be Tuesday.
5.
The last day of a century cannot be
Answer
100 years contain 5 odd days.
∴ Last day of 1st century is Friday.
200 years contain (5 x 2) 3 odd days.
∴ Last day of 2nd century is Wednesday.
300 years contain (5 x 3) = 15 i.e. 1 odd day.
∴ Last day of 3rd century is Monday.
400 years contain 0 odd day.
∴ Last day of 4th century is Sunday.
This cycle is repeated.
∴ Last day of a century cannot be Tuesday or Thursday or Saturday.
Answer :
Option BExplanation :
100 years contain 5 odd days.
∴ Last day of 1st century is Friday.
200 years contain (5 x 2) 3 odd days.
∴ Last day of 2nd century is Wednesday.
300 years contain (5 x 3) = 15 i.e. 1 odd day.
∴ Last day of 3rd century is Monday.
400 years contain 0 odd day.
∴ Last day of 4th century is Sunday.
This cycle is repeated.
∴ Last day of a century cannot be Tuesday or Thursday or Saturday.
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