Concept And Tricks To solve Calendar Question

What is Leap Year :

(1) A particular year divisible by 4 is called leap year, also it should not be century year

Eg. 1976, 1840 are leap year as they are divisible by 4

(2) Each fourth century is a leap year

Eg. 400, 800, 1200, 1600, 2000, 2400 are leap years, but 700, 1300, 1900 are not leap years

What is Odd Days : For a given number of days, number of days more than complete week are called odd days.

Eg. in 10 days, there is one week and 3 odd days.

How to Counting of weeks and days in year:

(a) 1 ordinary year has 365 days = 52 weeks + 1 odd day

(b) 1 leap year has 366 days = 52 weeks + 2 odd days

(c) 100 years = 76 ordinary years + 24 leap years = 76×1 + 24×2 = 124 odd days

 = 17 weeks + 5 odd days

(d) Since in 100 years, number of odd days are 5

(e) In 200 years, number of odd days are 5×2= 10 = 1 week + 3 odd days, 3 odd days

(f) Similarly in 300 years 5×3 = 15 = 2 weeks + 1 odd day

(g) Similarly for 400 years number of odd days 5×4 + 1 = 0 odd days, from this we conclude that for 800, 1200, 1600 , 2000, 2400 years odd days will be zero

Day Sun Mon Tues Wed Thrus Fri Sat
Odd day no. 0 1 2 3 4 5 6

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Updated: February 22, 2018 — 4:18 pm

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