What day of the week will 22 Apr 2222 be?
Monday
Tuesday
Sunday
Thursday
Explanation:
22 Apr 2222 = [2221 years + period from 1-Jan-2222 to 22-Apr-2222]
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 [Since 2000 is a perfect multiple of 400]
Number of odd days in the period 2001-2200
= Number of odd days in 200 years
= 5 x 2 = 10 = 3
As we can reduce perfect multiples of 7 from odd days without affecting anything
Number of odd days in the period 2201-2221
= 16 normal years + 5 leap years
= 16 x 1 + 5 x 2 = 16 + 10 = 26 = 5 odd days
Number of days from 1-Jan-2222 to 22 Apr 2222
= 31 Jan + 28 Feb + 31 Mar + 22Apr = 112
112 days = 0 odd day
Total number of odd days = 0 + 3 + 5 + 0 = 8 = 1 odd day
1 odd days = Monday
Hence 22 Apr 2222 is Monday.