How do you find the number of odd days for the year 1600 ?

Solution (By Examveda Team)

• 1 ordinary year = 365 days = (52 weeks + 1 day.)
  ∴ 1 ordinary year has 1 odd day.
• 1 leap year = 366 days = (52 weeks + 2 days.)
  ∴ 1 leap year has 2 odd days.
• 100 years = 76 ordinary years + 24 leap years
  = (76 x 1 + 24 x 2) odd days = 124 odd days.
  = (17 weeks + 5 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.