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Examples 1 to 5

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Examples :

(1) What was the day of the week on 18^th November, 1882 ?

Soln. 18 – 11 – 1882 Ordinary Year

Century ( 18 ) = 10 3

Year ( 81 ) = 101 3 ( 81 + 20 = 101 3 odd days )

Month ( 10 ) = 28 0

6 odd days Saturday

(2) On what dates of July 1996 did Wednesday fall ?

Soln. 01 – 07 – 1996 Leap Year

Century ( 19 ) = 15 1

Year ( 95 ) = 118 6 ( $\because$ 95 + 23 = 118 6 odd days )

Month ( 06 ) = 15 1

1 odd days Monday

On 1^st July, 1996 was Monday $\large \Rightarrow$ On 3^rd July, 1996 was Wednesday

$\large \Rightarrow$ Required dates are 3^rd, 10^th, 17^th, 24^th, 31^st.

(3) Today is Friday, then find the day after 100 days.

Soln. Friday

+ 2 Odd days ( $\because$ 100 days = 2 Odd days )
Sunday

$\because$ Required day = Sunday.

(4) Today is Tuesday, then find the day before 85 days.

Soln. Tuesday

+ 1 Odd days ( $\because$ 85 days = 2 Odd days )

Monday

$\therefore$ Required day = Monday.

(5) Prove that the calendar for the year 2703 will serve for the year 2714.

Soln. 11 Odd Days ( $\because$ 2714 – 2003 = 11 years )

+ 3 Odd Days ( $\because$ Leap years = 2004, 2008, 2012 )

14 0 Odd Days

$\therefore$ The calendar for the year 2703 will serve for the year 2714.