Explanation : 16 August, 2010 = (2000 + 9 years + period 1.1.2010 to 16.8.2010) Odd days in 2000 years = 0 9 years = (2 leap years + 7 ordinary years) = (2 × 2 + 7 × 1) = 11 odd days 11 can be divided by 7 ⇒ 4 odd days
Months
Jan
Feb
March
April
May
June
July
Aug
Total
Odd Days
31
28
31
30
31
16
31
16
228
The odd days can be calculated for each month separately and then added up. This can save some time in calculation. Such as January has 3 odd days (31 divided by 7 gives remainder of 3 and so on). Now, 228 days = 32 complete weeks + 3 extra days, it means 3 odd days. Total number of odd days = (0 + 0 + 4 + 4) = 8; it means 1 odd day. Thus, 16 August, 2010 was Monday.