In this chapter we are going to discuss the following topics with examples.
Introduction
Calendar Concepts
Examples
CALENDAR CONCEPTS
Ordinary Year:
An ordinary year has 365 days. The year which is not a leap year is called an ordinary years. Example: 1999,2017
Leap Year:
A leap year has 366 days.
(i) Every year divisible by 4 is a leap year, if it is not a century.
(ii) Every 4th century is a leap year and no other century is a leap year.
Example:1948, 2004,1200, 1600, 2000 is a leap year.
1800, 2100 is a not a leap year.
Odd Day calculation:
Number of days more than the complete weeks are called odd days.
For Ordinary Year = 365 days = 52 weeks + 1 day (i.e 1 odd day)
For Leap Year = 366 days = 52 weeks + 2 days (i.e 2 odd days)
For 100 Years
100 Years = 76 ordinary Years + 24 Leap Years =(76 x 1)+ (24 x 2) = 124 odd days
= 17 weeks + 5 days = 5 odd days
For 200 Years = 5 x 2 = 10 = 3 odd days
For 300 Years = 5 x 3 = 15 = 1 odd days
For 400 Years = 5 x 4 +1=21 = 0 odd days
Year | No of Odd Days |
---|---|
Ordinary Year | 1 |
Leap Year | 2 |
100 Years | 5(Friday) |
200 Years | 3(Wednesday) |
300 Years | 1(Monday) |
400 Years | 0(Sunday) |
500 Years | 5(Friday) |
600 Years | 3(Wednesday) |
700 Years | 1(Monday) |
800 Years | 0(Sunday) |
900 Years | 5(Friday) |
1000 Years | 3(Wednesday) |
Key Points:
Last day of any century can’t be Tuesday, Thursday and Saturday.
Last day of any century leap year is SUNDAY.
Goal setting should be part of your daily and weekly routines and should not be based on a calendar year or month.
Lewis Howes
1 .The calendar 2006 will be same for the year
a) 2015 b) 2017 c)2009 d)2018
Answer: b)2017
Explanation:
Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.
2006 -1, 2007 -1, 2008 -2, 2009-1, 2010-1, 2011-1, 2012-2, 2013-1, 2014-1, 2015-1, 2016-2, 2017-1
Total odd days from 2007-2017 = 14 days= 0 odd day
Hence 2017 calendar will be same as 2006.
2. If 1st Jan 2005 is Saturday then what will be 1st Jan 2008?
a)Monday b)Friday c)Tuesday d)Saturday
Answer: c)Tuesday
Explanation:
On 31st December it was Friday.Number of Odd days between 2006 and 2008 = (1+1)=2days
Then December 31st 2007 will be Monday then 1st Jan 2008 will be Tuesday.
3. What will be the day on week 4th April 2001?
a)Sunday b)Monday c)Wednesday d)Friday
Answer: c) Wednesday
Explanation:
April 4th 2001 =(2000 years+Period of 1.1.2001 to 4.4.2001)
Odd days in 2000 years = 0 days
From January to April 4
Total no.of.days:31+28+31+4=94 days =(13 weeks +3 days)=3 odd days
So the day will be Wednesday
Thus in this post we learned about the concepts of calendar and the problems based on calendar concept with examples.
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