Introduction
Calendar deals with odd days, leap year, ordinary year, counting of odd days, and day of the week related to odd days. To find the day of the week on a given date concept of odd days is used. The article Calendar Quiz 2 lists important Calendar practice questions for competitive exams like RRB ALP/Technical Exams/Junior Engineer Recruitment Exams, SSC, IBPS PO Exams and etc.
Concepts
Odd days:
Extra days, apart from the complete weeks in given periods are called odd days.
Note: An ordinary year has one day while a leap year has two odd days.
Leap year:
A leap year is divisible by 4 except for a century. For a century to be a leap year, it must be divisible by 400.
Examples:
- Years like 1988, 2008 are leap year (divisible by 4).
Centuries like 2000, 2400 are leap year ( divisible by 400).
Years like 1999, 2003 are not leap year (not divisible by 4).
Centuries like 1700, 1800 are not leap year ( not divisible by 400).
In a century, there is 76 ordinary year and 24 leap year.
Note: A leap year has 366 days(52 complete weeks + 2 extra days = 366 days).
Ordinary year:
Ordinary year is other than leap years. A ordinary year has 365 days.
Counting of odd days:
(i) 1 ordinary year = 365 days = (52 weeks + 1 day).
An ordinary year has one odd day.
(ii) 1 leap year = 366 days = (52 weeks + 2 days).
A leap year has 2 odd days.
Day of the week related to odd days:
Let the number of days be 0, 1, 2, 3, 4, 5 , 6 and their days are Sunday, Monday, Tuesday, Wednesday, Thursday, Friday and Saturday respectively.
Q1
If instead of 365 days, a year was of 400 days and a leap year was of 450 days, then what will be the day on 1st day of year 2031 if 1st day of year 2021 is a Thursday given that a week still has 7 days.
- A. Monday
B. Tuesday
C. Wednesday
D. Cannot be determined
10 years = 8 regular years + 2 leap years
10 years = [latex]8 \times 400 + 2 \times 450[/latex] days = 3200 + 900 days = 4100 days
4100 days = 585 weeks + 5 days
585 weeks will end on a Thursday
5 additional days will end on Tuesday.
Q2
If day before yesterday was Wednesday, when will Sunday be?
- A. 3 days after today
B. Tomorrow
C. Today
D. Day after tomorrow
Q3
If January 1st is a Friday, what is the first day of the month of March in a leap year?
- A. Thursday
B. Friday
C. Tuesday
D. Wednesday
If the first January is Friday then the first February would be Monday.
29th February [latex]\Rightarrow[/latex] Monday
Therefore;
1st March [latex]\Rightarrow[/latex] Tuesday.
Hence Option C is correct
Q4
If two days before yesterday is Monday, what will be the day of the week 3 days after day after tomorrow?
- A. Tuesday
B. Friday
C. Wednesday
D. Saturday
Two days before yesterday was Monday.
Therefore, today is Thursday + 4 = Monday
Tomorrow will be Friday
Day after tomorrow will be Saturday
Now, three days after tomorrow will be Tuesday.
Q5
Mrs. Susheela celebrated her wedding anniversary on Tuesday, 30th September 1997. When will she celebrate her next wedding anniversary on the same day?
- A. 30th September 2003
B. 30th September 2004
C. 30th September 2002
D. 30th September 2001
30th September 1998 = Wednesday
30th September 1999 = Thursday
30th September 2000 = Saturday
Because, 2000 is a Leap Year (there is one extra day in the month of February.)
30th September 2001 = Sunday
30th September 2002 = Monday
30th September 2003 = Tuesday
An ordinary year has one Odd day.
Thus, she will celebrate her next wedding anniversary on 30th September 2003 as the same day.
Hence, option A is correct.