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  • Logical Reasoning

    CALENDAR_INTRODUCTION FOR CLAT, AILET, SET AND OTHER LAW ENTRANCE EXAMS

    Posted on: 2018-01-28 Posted by: CLAT Gurukul Category: Logical Reasoning

    Calendar Basics

    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.

    Leap Year:

    (i). Every year divisible by 4 is a leap year, if it is not a century.

    (ii). Every 4th century (divisible by 400) 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, 2008, 2012 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 1947, 1950, 2013, 2014, 2015, 2100, 1900 etc. is not a leap year.

    Counting of Odd Days:

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

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

    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.

    Day of the Week Related to Odd Days:

    No. of days: 0 1 2 3 4 5 6
    Day: Sun. Mon. Tues. Wed. Thurs. Fri. Sat.

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