PPT: Calendar | Quantitative Techniques for CLAT PDF Download

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C a l e n d a r s
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C a l e n d a r s
What is a Calendar?
Definition
A calendar is a system of 
organizing units of time for the 
purpose of reckoning time 
over extended periods.
Basic Unit
By convention, the day is the 
smallest calendrical unit of 
time.
Timekeeping
The measurement of fractions of a day is classified as timekeeping, 
distinct from calendrical systems.
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C a l e n d a r s
What is a Calendar?
Definition
A calendar is a system of 
organizing units of time for the 
purpose of reckoning time 
over extended periods.
Basic Unit
By convention, the day is the 
smallest calendrical unit of 
time.
Timekeeping
The measurement of fractions of a day is classified as timekeeping, 
distinct from calendrical systems.
Basic Structure of a Calendar
Ordinary Year
A year with 365 days is termed as an ordinary year. 
Examples include 1879, 2009, 2019, etc.
When 365 is divided by 7, the quotient is 52 with a 
remainder of 1. This means an ordinary year consists of 52 
weeks and one extra day, referred to as an "odd day" in 
calendar-related topics.
Leap Year
A year with 366 days is termed as a leap year. Examples 
include 2012, 2016, 2020, etc.
A leap year, with 366 days, gives a quotient of 52 and a 
remainder of 2 when divided by 7. This indicates that a leap 
year comprises 52 weeks and two extra days, both referred 
to as "odd days".
Page 4


C a l e n d a r s
What is a Calendar?
Definition
A calendar is a system of 
organizing units of time for the 
purpose of reckoning time 
over extended periods.
Basic Unit
By convention, the day is the 
smallest calendrical unit of 
time.
Timekeeping
The measurement of fractions of a day is classified as timekeeping, 
distinct from calendrical systems.
Basic Structure of a Calendar
Ordinary Year
A year with 365 days is termed as an ordinary year. 
Examples include 1879, 2009, 2019, etc.
When 365 is divided by 7, the quotient is 52 with a 
remainder of 1. This means an ordinary year consists of 52 
weeks and one extra day, referred to as an "odd day" in 
calendar-related topics.
Leap Year
A year with 366 days is termed as a leap year. Examples 
include 2012, 2016, 2020, etc.
A leap year, with 366 days, gives a quotient of 52 and a 
remainder of 2 when divided by 7. This indicates that a leap 
year comprises 52 weeks and two extra days, both referred 
to as "odd days".
Finding the Number of Odd Days
1
100 Years
In 100 years: 24 leap years + 76 ordinary years = 5 odd days
2
200 Years
In 200 years: 3 odd days
3
300 Years
In 300 years: 1 odd day
4
400 Years
In 400, 800, 1200, and 1600 years: 0 odd days
February in an ordinary year has no odd day, whereas in a leap year February has one odd day. The first day of a century must be Tuesday, 
Thursday or Saturday, while the last day cannot be any of these.
Page 5


C a l e n d a r s
What is a Calendar?
Definition
A calendar is a system of 
organizing units of time for the 
purpose of reckoning time 
over extended periods.
Basic Unit
By convention, the day is the 
smallest calendrical unit of 
time.
Timekeeping
The measurement of fractions of a day is classified as timekeeping, 
distinct from calendrical systems.
Basic Structure of a Calendar
Ordinary Year
A year with 365 days is termed as an ordinary year. 
Examples include 1879, 2009, 2019, etc.
When 365 is divided by 7, the quotient is 52 with a 
remainder of 1. This means an ordinary year consists of 52 
weeks and one extra day, referred to as an "odd day" in 
calendar-related topics.
Leap Year
A year with 366 days is termed as a leap year. Examples 
include 2012, 2016, 2020, etc.
A leap year, with 366 days, gives a quotient of 52 and a 
remainder of 2 when divided by 7. This indicates that a leap 
year comprises 52 weeks and two extra days, both referred 
to as "odd days".
Finding the Number of Odd Days
1
100 Years
In 100 years: 24 leap years + 76 ordinary years = 5 odd days
2
200 Years
In 200 years: 3 odd days
3
300 Years
In 300 years: 1 odd day
4
400 Years
In 400, 800, 1200, and 1600 years: 0 odd days
February in an ordinary year has no odd day, whereas in a leap year February has one odd day. The first day of a century must be Tuesday, 
Thursday or Saturday, while the last day cannot be any of these.
Days of the Week and Their Codes
D a y C o d e
Sunday 0
Monday 1
Tuesday 2
Wednesday 3
Thursday 4
Friday 5
Saturday 6
This coding system helps decode the results obtained during problem-solving in calendar-related topics. If the final calculated value is 10, 
dividing 10 by 7 gives a remainder of 3, corresponding to Wednesday.
Example: Today is Monday. What day will it be after 61 days? Days of the week repeat every 7 days. After 63 days, it will again be Monday. 
Therefore, after 61 days, the day will be Saturday.