Calendars

After 63 days it will be Monday so after 61 days it will be Saturday

Step 1: 23+90 = 113 Step2: 90/4 Quotient = 22 Step3: add quotient to step 1 113+22+6 (month code) + 0 (year code) Step4: Divide result of step 3 by 7 141/7 Step5: remainder of step 4 is the day code 1------- Monday

For Non-Leap year, When we proceed forward by one year, then 1 day is gained and vice-versa.
If 4th April, 1988 = Monday, then 4th April, 1989 = Tuesday (Because 1989 is a non-leap year)
Remaining days until 5th Nov.89
=Tuesday + 215

find the remainder with number of days%7 number of days in april =30-29 =1 number of days in may =31 %7 =3 number of days in june =30 %7 =2 number of days in july =31 %7 =3 number of days in august =31 %7 =3 number of days in september =30 %7 =2 number of days in october =31 %7 =3 number of days in november =30 %7 =2 total count=1+3+2+3+3+2+3+2 = 19 %7 =5 Now we add 5 days in monday then it will be saturday.

Quiz of this Question
Please comment below if you find anything wrong in the above post

The year 2016 is the leap year which has 366 days i.e. 52 weeks and 2 more days. After each week, the day starts repetition. So the day on January 1, 2017 will be 2 days beyond Friday. That is Sunday.

The number of days left after dividing the period by 7 is known as odd days. Every ordinary year has 365 days i.e. 52 weeks and 1 odd day and every leap year has 366 days i.e. 52 weeks and 2 odd days. Every 4th year and every 4th century is the leap year. 100 years have 76 ordinary years and 24 leap years i.e. 76 + 2*24 = 124 odd days. = 7*17 + 5 = 5 odd days. 200 years have = 10 odd days = 7*1 + 3 = 3 odd days. 300 years have = 15 odd days = 1 odd days. Since every 400th year is the leap year, 400 years have = 20 + 1 = 21 odd days = 0 odd days. 1947 years = 1600 years + 300 years + 47 years = 0 odd days + 1 odd day + (11*2 + 36) odd days = 59 odd days = 3 odd days. 30 days have 2 odd days. The total number of odd days up to 30th January 1948 = 5 odd days. Hence, it was a Friday.

The number of days left after dividing the period by 7 is known as odd days. Every ordinary year has 365 days i.e. 52 weeks and 1 odd day and every leap year has 366 days i.e. 52 weeks and 2 odd days. Every 4th year and every 4th century is the leap year. 100 years have 76 ordinary years and 24 leap years i.e. 76 + 2*24 = 124 odd days. = 7*17 + 5 = 5 odd days. 200 years have = 10 odd days = 7*1 + 3 = 3 odd days. 300 years have = 15 odd days = 1 odd days. Since every 400th year is the leap year, 400 years have = 20 + 1 = 21 odd days = 0 odd days. There are 0 odd days in 2000 years. Hence, there is 1 odd day up to the date January 1, 2001. Hence, it was a Monday.