Calendar Questions and Answers – Quantitative Aptitude

Calendar Questions and Answers – Formulas & Tricks

Odd Days:

We are supposed to find the day of the week on a given date. So, We use the concept “Odd Days”

The No.of.days more than the complete weeks are called Odd Days.

Leap Year:

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

Every 4th century is a leap year and no other century is a leap year.

Note: A Leap year has 366 days.

Example:

• Each of the years 1948, 2004, 1676 etc., is a leap year.
• Each of the Years 400, 800, 1200, 1600, 2000 etc, is a leap year.
• None of the Years 2001, 2002, 2003, 2005, 1800, 2100 is a leap year.

Counting of Odd Days

• 1 Ordinary Year = 365 days =(52 weeks + 1 day)

Therefore, 1 Ordinary Year has 1 odd day.

• 1 Leap Year = 366 days = (52 weeks + 2 days)

Therefore 1 Leap Year has 2 Odd Days

• 100 Years = 76 Ordinary Years + 24 Leap Years

= (76 * 1 + 24 * 2) odd days = 124 odd days

= (17 weeks + days) = 5 odd days

Therefore, No.of. Odd days in 100 Years = 5.

No. of. Odd days in 200 Years = (5 * 2) = 3 odd days

No. of. Odd days in 300 Years = (5 * 3) = 1 odd days

No. of. Odd days in 400 Years = (5 * 4 + 1) = 0 odd days

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:

Calendar Questions and Answers With Detailed Explanation – Quantitative Aptitude