Tuesday, October 14, 2014

calander

  1. Odd Days:

We are supposed to find the day of the week on a given date.
For this, we use the concept of 'odd days'.
In a given period, the number of days more than the complete weeks are called odd days.
  1. Leap Year:
    (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.
    Note: A leap year has 366 days.
    Examples:
    1. Each of the years 1948, 2004, 1676 etc. is a leap year.
    2. Each of the years 400, 800, 1200, 1600, 2000 etc. is a leap year.
    3. None of the years 2001, 2002, 2003, 2005, 1800, 2100 is a leap year.
  2. Ordinary Year:
    The year which is not a leap year is called an ordinary years. An ordinary year has 365 days.
  3. Counting of Odd Days:
    1. 1 ordinary year = 365 days = (52 weeks + 1 day.)
       1 ordinary year has 1 odd day.
    2. 1 leap year = 366 days = (52 weeks + 2 days)
       1 leap year has 2 odd days.
    3. 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.
       Number of odd days in 100 years = 5.
      Number of odd days in 200 years = (5 x 2)  3 odd days.
      Number of odd days in 300 years = (5 x 3)  1 odd day.
      Number of odd days in 400 years = (5 x 4 + 1)  0 odd day.
      Similarly, each one of 800 years, 1200 years, 1600 years, 2000 years etc. has 0 odd days.
  4. Day of the Week Related to Odd Days:
    No. of days:0123456
    Day:Sun.Mon.Tues.Wed.Thurs.Fri.Sat.
    1. 
    It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
    A.SundayB.Saturday
    C.FridayD.Wednesday


    2. 
    What was the day of the week on 28th May, 2006?
    A.ThursdayB.Friday
    C.SaturdayD.Sunday


    3. 
    What was the day of the week on 17th June, 1998?
    A.MondayB.Tuesday
    C.WednesdayD.Thursday


    4. 
    What will be the day of the week 15th August, 2010?
    A.SundayB.Monday
    C.TuesdayD.Friday



If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?
A.SundayB.Saturday
C.TuesdayD.Wednesday



  1. 6. 
    On what dates of April, 2001 did Wednesday fall?
    A.1st, 8th, 15th, 22nd, 29thB.2nd, 9th, 16th, 23rd, 30th
    C.3rd, 10th, 17th, 24thD.4th, 11th, 18th, 25th


    7. 
    How many days are there in x weeks x days?
    A.7x2B.8x
    C.14xD.7


    8. 
    The last day of a century cannot be
    A.MondayB.Wednesday
    C.TuesdayD.Friday


    9. 
    On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
    A.TuesdayB.Monday
    C.SundayD.Wednesday
    11. 
    The calendar for the year 2007 will be the same for the year:
    A.2014B.2016
    C.2017D.2018


    12. 
    Which of the following is not a leap year?
    A.700B.800
    C.1200D.2000


    13. 
    On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?
    A.SundayB.Thursday
    C.TuesdayD.Friday


    14. 
    January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009?
    A.MondayB.Wednesday
    C.ThursdayD.Sunday


    15. 
    January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?
    A.MondayB.Tuesday
    C.WednesdayD.Sunda

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