9 CALENDARS
Here you mainly deal in finding the day of the week on a particular given date.
The process of finding this depends on the number ofodd days.
Odd days are quite different from the odd numbers.
Odd Days: The days more than the complete number of weeks in a given period are called odd
davs
Ordinary Year: An year that has 365 days is called Ordinary Year.
Leap Year: The year which is exactly divisible by 4 (except century) is called a leap year.
E.g. 1968, 1972, 1984, 1988 and so on are the examples of Leap Years.
1986, 1990, 1994, 1998, and so on are the
examples of non leap years.
Note: The Centuries divisible
by 400 are leap years.
Important Points:
An ordinary year has 365 days= 52 weeks and 1 odd day.
A leap year has 366 days =
52 weeks and 2 odd
days.
Century =
76 Ordinary years + 24 Leap years.
Century contain 5 odd days.
200 years contain 3 odd days.
300 years contain 1 odd day.
400 years contain 0 odd days.
Last day ofa century cannot be Tuesday, Thursday or Saturday.
First day ofa century must be Monday, Tuesday, Thursday or
Saturday
Explanation:
100 years =
76 ordinary yearS + 24 leap years
=
76 odd days + 24 2 odd
x
days
=
124 odd days =
17 weeks 5
+
days
100 years contain 5 odd days.
, No. of odd days in first century =
5
Last day of first century is Friday.
No. of odd days in two centuries =
3
Wednesday isthe last day.
No. of odd days in three centuries 1
=
Monday is the last day.
No. of odd days in four centuries =0
Sunday isthe last day.
Since the order is continually kept in successive cycles, the last day ofa century cannot be Tuesday,
Thursday or Saturday.
So, the last day of a century should be Sunday, Monday, Wednesday or Friday.
Therefore, the first day of a century must be Monday, Tuesday, Thursday or Saturday.
EXERCIES
1 The no. of odd days in 400 years is
.
2 0
3. 3 4. 4
. Smt. Indira Gandhi died on 31* October, 1984. The day ofthe weekk is
1. Monday 2. Tuesday
3 Wednesday 4. Friday
3 What will be the day ofthe week on April 29, 2005?
1.
Friday Tuesday
3 Saturday A Sunday
hefirst day ofthe year 1998 was Wednesday. Ifthe birthday ofRaju falls on 25h June, then on which day
of 1998 was his
birthday?
1.
Friday Tuesday
3.
5.
Wednesday 4 Sunday
in
f you are born on 13th April, 1992 which is a Saturday, then which day ofthe week is your birthday
1993?
Here you mainly deal in finding the day of the week on a particular given date.
The process of finding this depends on the number ofodd days.
Odd days are quite different from the odd numbers.
Odd Days: The days more than the complete number of weeks in a given period are called odd
davs
Ordinary Year: An year that has 365 days is called Ordinary Year.
Leap Year: The year which is exactly divisible by 4 (except century) is called a leap year.
E.g. 1968, 1972, 1984, 1988 and so on are the examples of Leap Years.
1986, 1990, 1994, 1998, and so on are the
examples of non leap years.
Note: The Centuries divisible
by 400 are leap years.
Important Points:
An ordinary year has 365 days= 52 weeks and 1 odd day.
A leap year has 366 days =
52 weeks and 2 odd
days.
Century =
76 Ordinary years + 24 Leap years.
Century contain 5 odd days.
200 years contain 3 odd days.
300 years contain 1 odd day.
400 years contain 0 odd days.
Last day ofa century cannot be Tuesday, Thursday or Saturday.
First day ofa century must be Monday, Tuesday, Thursday or
Saturday
Explanation:
100 years =
76 ordinary yearS + 24 leap years
=
76 odd days + 24 2 odd
x
days
=
124 odd days =
17 weeks 5
+
days
100 years contain 5 odd days.
, No. of odd days in first century =
5
Last day of first century is Friday.
No. of odd days in two centuries =
3
Wednesday isthe last day.
No. of odd days in three centuries 1
=
Monday is the last day.
No. of odd days in four centuries =0
Sunday isthe last day.
Since the order is continually kept in successive cycles, the last day ofa century cannot be Tuesday,
Thursday or Saturday.
So, the last day of a century should be Sunday, Monday, Wednesday or Friday.
Therefore, the first day of a century must be Monday, Tuesday, Thursday or Saturday.
EXERCIES
1 The no. of odd days in 400 years is
.
2 0
3. 3 4. 4
. Smt. Indira Gandhi died on 31* October, 1984. The day ofthe weekk is
1. Monday 2. Tuesday
3 Wednesday 4. Friday
3 What will be the day ofthe week on April 29, 2005?
1.
Friday Tuesday
3 Saturday A Sunday
hefirst day ofthe year 1998 was Wednesday. Ifthe birthday ofRaju falls on 25h June, then on which day
of 1998 was his
birthday?
1.
Friday Tuesday
3.
5.
Wednesday 4 Sunday
in
f you are born on 13th April, 1992 which is a Saturday, then which day ofthe week is your birthday
1993?
