What is Odd Day in Calendar Problem:
In a given days, the no. of days extra than weeks are called odd day.
For Example : How Many Odd Days in 9 day's?
Solutions: In 9 Days it contain 7 days ( 1 week ) + 2 days
: : Here extra 2 Day's is treated as Odd Day's
Leap Year: [ calendar word problems ]
(i). Year which is divisible by 4 is called a leap year, if it is not a century.
(ii). Every 4th century ( 4*100, 4*100*2, 4*100*3 ) is a leap year and no other century is a leap year.
Note: A leap year Contain 366 days [ Calendar Problem Questions ].
Examples:
This 1948, 2008, 1680 etc. is a leap year.
This 2000, 1600, 1200, 800, 400 etc. is a leap year.
This 2005, 2007, 2009, 1800, 2100 is not a leap year.
Ordinary Year:
The year which is not a leap year is called an ordinary years.
Note: An ordinary year Contain 365 days. [ Word Problems on Calendar ]
Counting of Odd Days in calendar word problems:
1 year [ ordinary year ] = 365 days = (52 weeks + 1 day.)
1 ordinary year Contain 1 odd day.
1 year [ leap year ] = 366 days = (52 weeks + 2 days)
1 leap year contain 2 odd days.
In 100 years = 76 ordinary years + 24 leap years
= (76 x 1 + 24 x 2) odd days = 124 odd days.
= (17 weeks + days) 5 odd days.
No. of odd days in 100 years = 5.
No. of odd days in 200 years = (5 x 2 = 10 days) [ 1 week + 3 days] ⇒ 3 odd days.
No. of odd days in 300 years = (5 x 3 = 15 Days) [ 2 week's + 1 days] ⇒ 1 odd day.
No. of odd days in 400 years = (5 x 4 + 1 = 21 Days) [ 3 Week's ] ⇒ 0 odd day.
Similarly, 800 years, 1200 years, 1600 years, 2000 years etc. contain 0 odd days.
Day of the Week Related to Odd Days in calendar math
No. of days: | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| Day: | Sunday | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday |
Objective Questions on Problems on Calendar
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It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?orIf it was sunday on jan 1st 2006. What was the day of the week Jan 1, 2010?
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What was the day of the week on 28th May, 2006?
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What was the day of the week on 17th June, 1998?
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What will be the day of the week 15th August, 2010?
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Today is Monday. After 61 days, it will be:
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26th January, 1996 was a Friday. What day of the week lies on 26th January, 1997?
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How many days are there in x weeks x days?
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The calendar for the year 2001 is same for which of the following year?
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The last day of a century cannot be
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What day of the week was 31st July, 1993?
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January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009?
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Which of the following year is not a leap year?
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The calendar for the year 2007 will be the same for the year:
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Which of the following is not a leap year?
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On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?
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