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Aptitude Calendar Concepts and FormulasPoints to remember:1. Problems on calendar mainly deal with finding the day of the week on a given date using the number of odd days. 2. Odd days: Odd days are different from odd numbers. They are the number of days more than the complete number of weeks in a given period. 3. To find the number of odd days divide the given number of by seven. The remainder left represents the number of odd days. For example: if the given number of days is 80, after dividing 80 by 7, the remainder left is 3. Hence, there are three odd days. Similarly, if the given number of days is 77, after dividing 77 by 7, the remainder left is 0. Hence, there are 0 odd days. 4. Ordinary year: A year which is not a leap year is called an ordinary year. It has 365 days. 5. Leap year: A year which is divisible by 4 is called a leap year, e.g. 1992, 1996, 2000, etc., are leap years. A leap year has 366 days. If the year is a century, it will be a leap year if it is divisible by 400, i.e. every 4th century is a leap year, e.g. 400, 800, 1200, etc., but 200, 500, 1900, etc., are not leap years. Counting odd:Odd days in an ordinary year: An ordinary year contains 365 days. On dividing 365 by 7, we get 1 as a remainder (52*7 +1) or (52 weeks + 1 day). It means an ordinary year has one odd day. Odd days in a leap year: A leap year contains 366. On dividing 366 by 7, we get 2 as remainder (52*7 + 2) or (52 weeks + 2). It means a leap year has two odd days. Odd days in a century: A century has 76 ordinary years and 24 leap years. ∴100 years = 76 ordinary years + 24 leap years = [(76*52) weeks + 76 odd days] + [(24*52) weeks + 48 odd days] = [(100*52) weeks + 124 odd days] = (5200 weeks + 17 weeks + 5 odd days) = (5217 weeks + 5 odd days) ∴A century or 100 years have 5 odd days. Similarly, in 200 years, there will be 10 (5+5) days, 7 days (1 week) + 3 odd days. So, 200 years have 3 odd days. In 300 years, there will be 15 days, 14 days (2 weeks) + 1 odd day. So, 300 years have 1 odd day. In 400 years, there will be 20 + 1(as 400 is a leap year) = 21 days, 21 days (3 weeks). So, 400 years have 0 odd days. A century divisible by 400 also has 0 odd days. Tables of odd :a.) Table showing the relation between the year and the number of odd ;
b.) Table showing the relation between the day of the week and the number of odd ;
Notes:
a) The years must be of the same type, i.e. both must be either ordinary years or leap years. b) January 21 of both the years, must be the same day of the week. The leap years in the 20th and 21st centuries;  Aptitude Calendar Test Paper 1 Aptitude Calendar Test Paper 2 Next TopicCalendar ← prev next → A. 25 B. 24 C. 4 D. 26 Solution(By Examveda Team) Given year is divided by 4, and the quotient gives the number of leap years.
Answer (Detailed Solution Below)Option 3 : 24 Free 10 Questions 10 Marks 7 Mins Leap year comes after a period of 4 years. In a period of 100 years the number of leap years = 100/4 = 25 – 1 = 24 Hence, the correct answer is 24 years. Century leap year are those which are completely divisible by 400. for ex: 100, 200 are not leap years while 400, 800, 1200 are leap years. so if you consider another set of 100 whose 100th year is leap then the answer is 25 but we have to considered 24 as answer because when period of year is not mentioned then the safe is 24. Latest RRB Group D Updates Last updated on Nov 2, 2022 The RRB Group D Results are expected to be out soon! The Railway Recruitment Board released the RRB Group D Answer Key on 14th October 2022. The candidates will be able to raise objections from 15th to 19th October 2022. The exam was conducted from 17th August to 11th October 2022. The RRB (Railway Recruitment Board) is conducting the RRB Group D exam to recruit various posts of Track Maintainer, Helper/Assistant in various technical departments like Electrical, Mechanical, S&T, etc. The selection process for these posts includes 4 phases- Computer Based Test Physical Efficiency Test, Document Verification, and Medical Test. Get proficient with the Logical Reasoning concepts with detailed lessons on the topic Clock and Calendar among many others. How many leap years occur in 100 years?Hint: A leap year is the year occurring once every four years and has 366 days. Also, in 100 years there are 24 leap years.
Why 100th century is not a leap year?There is a leap year every year whose number is perfectly divisible by four - except for years which are both divisible by 100 and not divisible by 400. The second part of the rule effects century years. For example; the century years 1600 and 2000 are leap years, but the century years 1700, 1800, and 1900 are not.
Is there a leap year every 100 years?Every 100 years, we don't have a Leap Year. In the years 1800 and 1900, for instance, there was not a Feb. 29.
How do you find the number of leap years and ordinary years?To determine whether a year is a leap year, follow these steps:. If the year is evenly divisible by 4, go to step 2. ... . If the year is evenly divisible by 100, go to step 3. ... . If the year is evenly divisible by 400, go to step 4. ... . The year is a leap year (it has 366 days).. The year is not a leap year (it has 365 days).. |
How does 100 years have 24 leap years and 76 ordinary years?
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