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Aptitude ➤ Calendar ➤ Set 1
Under this heading we mainly deal with finding the day of the week on a particular given date the process of finding it lies on obtaining the number of odd days.

1. Odd Days:
In a given period, the number of days more than the complete weeks are called odd days.

2. 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:
i. Each of the years 1948, 2004, 1676 etc. is a leap year.
ii. Each of the years 400, 800, 1200, 1600, 2000 etc. is a leap year.
iii. None of the years 2001, 2002, 2003, 2005, 1800, 2100 is a leap year.

3. Ordinary Year:
The year which is not a leap year is called an ordinary years. An ordinary year has 365 days.

4. Counting of Odd Days:
i) 1 ordinary year = 365 days = (52 weeks + 1 day.)
∴ 1 ordinary year has 1 odd day.
ii) 1 leap year = 366 days = (52 weeks + 2 days)
∴ 1 leap year has 2 odd days.
iii) 100 years = 76 ordinary years + 24 leap years
= (76 × 1 + 24 × 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.

5. Day of the Week Related to Odd Days:

No. of Days 0123456
DaySunMonTueWedThursFriSat


Question 11
Q11.  On what dates of April, 2001 did Wednesday fall?
Question 12
Q12.  What was the day of the week on 4th June, 2002?
Question 13
Q13.  On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
Question 14
Q14.  Today is Monday. After 61 days, it will be:
Question 15
Q15.  What was the day of the week 15th August, 2010?

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