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Introduction to Calendar Notes | Study Quantitative Techniques for CLAT - CLAT

Document Description: Introduction to Calendar for CLAT 2022 is part of Quantitative Techniques for CLAT preparation. The notes and questions for Introduction to Calendar have been prepared according to the CLAT exam syllabus. Information about Introduction to Calendar covers topics like Calendar and Introduction to Calendar Example, for CLAT 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Introduction to Calendar.

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Calendar
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Calendar

A calendar is a system of organizing units of time for the purpose of reckoning time over extended periods. By convention, the day is the smallest calendrical unit of time; the measurement of fractions of a day is classified as timekeeping.

  • Ordinary year: An year having 365 days is called ordinary years.
  • Leap year: Year having 366 days is called a leap year. Every leap year is exactly divisible by 4 and ordinary years are not completely divisible by 4.
  • Odd days: In a given period, the days apart from complete weeks are called odd days. An ordinary year has one odd day, i.e. 365/7 = 52 weeks + 1 day While the leap year has two odd days, i.e. 366/7 = 52 + 2 days.

    Introduction to Calendar Notes | Study Quantitative Techniques for CLAT - CLAT

To Find the Number of Odd Days

  • In 100 years there are 24 leap years + 76 ordinary years
    = 24 x 52 weeks + 24 x 2 days + 76 x 52 weeks + 76 days
    = 6 days  + 6 days
    = 12 days = 1 week and 5 days
    So, in 100 years there are 5 odd days similarly in 200 years there are 3 odd days and in 300 years there is 1 odd day in 400 years there is 0 odd day similarly in 800 years, 1200 years and 1600 years there is 0 odd day.
  • Odd days in Feb: In an ordinary year, Feb has no odd day, whereas in a leap year Feb has one odd day.
  • 1st day of the century must be Tuesday, Thursday or Saturday and Last day of a century cannot be Tuesday, Thursday or Saturday.

To Find a Particular Day When a Day and a Date is Given

Step I: Find out the number of odd days between the given date and the date for which the day is to be found one.

Step II: From the given day count the odd days in the forward direction to arrive at the day on the given date.

Example 1: If 10th January 1992 was Saturday, what day of the week was on 6th March 1993.
Solution: Calculate number of odd days between 10th Jan 1992 and 6th Mar 1993 Jan 10, 1992, is Saturday
So, from Jan 11 to Dec 31 of 1992 – days are 366 – 10 = 356 days
Jan 1993 = 31days
Feb 1993 = 28 days
6th March 1993 = 6 days
Total days = 421
= 60 weeks + 1 day
So No. of odd days = 1
Let us count one day after Saturday. The required day will be Sunday.


Example 2: On April 4, 1988, it was Monday. What day of the week was on 5th Nov. 1987.
Solutions:
No. of days between 5th Nov. 1987 to 4th April 1988 6th Nov 1987 to 30 Nov  = 25 days
 Dec 1987 = 31 days
Jan 1988 = 31 days
Feb 1988 = 29 days
March 1988 = 31 days
4th April 1988 = 4 days
Total = 151 days
No. of odd days = 151 / 7 = 21 weeks – 4 days
So, since 5th Nov. 1987 is prior to 4th April 1988
We are to count 4 days backwards from Monday, the required day is Thursday.

Question for Introduction to Calendar
Try yourself:It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
View Solution

To Find the Day on a Particular Date if Day and Date is not Given

  • The procedure can be understood from the given example.

Example 3: Find the day of the week on 26th Jan. 1960.
Solution: No. of odd days upto 26th Jan. 1960
= Odd days for 1600 years + odd days for 300 years + odd days for 59 years + odd days of 26 days of Jan 1960
= 0 + 1 + 59 + 14 + 5 = 79 days
= 79 / 7 = 11 weeks + 2 days = 2 odd days
The required day is Tuesday Zero odd day means Sunday. We are to consider one odd day as Monday 2 odd days as Tuesday and so on.

Question for Introduction to Calendar
Try yourself:What was the day of the week on 28th May, 2006?
View Solution

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Introduction to Calendar Notes | Study Quantitative Techniques for CLAT - CLAT

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