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The Calendar

The Calendar of Class 10

CONCEPT

We are to find the day of the week on a mentioned date. Certain concepts are defined as under.

ODD DAYS

The no. of days exceeding the complete no. of weeks in a duration is the no. of odd days during that duration.

ORDINARY YEAR

An ordinary year has 365 days.

LEAP YEAR

A leap year has 366 days. Every year which is divisible by 4 is called a leap year. For example 1200, 1600, 1992, 2004, etc. are all leap years.

Graphic3.jpg

The First year of every century year ending in 00's but not a multiple of 400 is not considered a leap year. For example 900,1000, 1100, 1300, 1400, 1500, 1700, 1800, 1900, 2100 are not leap years.

COUNTING OF ODD DAYS

(i) Every Ordinary year has 365 days = 52 weeks + 1 day ∴ (ordinary year has 1 odd day).

(ii) Every leap year 366 days = 52 weeks + 2 days ∴ (leap year has 2 odd days).

(iii) 100 years = 76 ordinary years + 24 leap years ( The year 100 is not a leap year)

= 76 odd days + 2 × 24 odd days = 124 odd days.

124/7 = 5 (Remainder) = 05 odd days

Similarly, 200 years = 10 odd days = 03 odd days

300 years = 15/7 = 01 odd day

400 years = 20 + (1)/7 = 0 odd day {1 is added as 400 is a leap year}

Similarly, 800, 1200, 1600, 2000, 2400 years contain 0 odd days

COUNTING OF DAYS

After counting the odd days, we find the day according to the no. of odd days → Sunday for 0 odd day, Monday for 01 odd day and so on.

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In an Ordinary Year, First & last day of the year are the same.

(i) If 1 Jan is Friday than 31 Dec. will also have Friday.

(ii) For a leap year, if first day is Monday then last day will be Tuesday for the same year.

(iii) Calendar year 1 Jan to 31 Dec. Financial year 1 April to 31 March.

(iv) The day on which calendar Started i.e., 1 Jan, 001 was Monday.

(v) In a Leap year, February is of 29 days. In an ordinary year, February has 28 days

 

YEAR TABLE

Ordinary Year – 365 days

Leap Year – 366 days

January

31

January

31

February

28

February

29

March

31

March

31

April

30

April

30

May

31

May

31

June

30

June

30

Total

181 days

Total

182 days

July

31

July

31

August

31

August

31

September

30

September

30

October

31

October

31

November

30

November

30

December

31

December

31

Total

184 days

Total

184 days

CALCULATING ODD DAYS

Month

Jan

Feb

March

April

May

June

July

Aug

Sep

Oct

Nov

Dec

Odd days

3

0/13

ord./Leap yr

3

2

3

2

3

3

2

3

2

3

Months of

years

Ist three

months (1 Jan

to 31 March)

IInd three

months (1 Apr

to 30 June)

IIIrd three

months (1 July

to 30 Sep.)

IVth (last) three

months

Total year (1

Jan. to 31 Dec.)

Total days

90 / 91

ord. / leap

91

92

92

365/366

ord./leap

Odd days

6 / 0

ord. / leap

0

odd day

1

odd day

1

odd day

1 / 2

odd days

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