What Day Of The Week Was 1 January 1901?

1.	What Day Of The Week Was 1 January 1901?
Answer» 1 Jan 1901 = (1900 years + 1st Jan 1901) We know that number of odd days in 400 years = 0 Hence the number of odd days in 1600 years = 0 (Since 1600 is a perfect multiple of 400) Number of odd days in the PERIOD 1601-1900 = Number of odd days in 300 years = 5 x 3 = 15 = 1 (As we can reduce perfect multiples of 7 from odd days without affecting anything) 1st Jan 1901 = 1 odd day Total number of odd days = (0 + 1 + 1) = 2 2 odd days = TUESDAY Hence 1 January 1901 is Tuesday. 1 Jan 1901 = (1900 years + 1st Jan 1901) We know that number of odd days in 400 years = 0 Hence the number of odd days in 1600 years = 0 (Since 1600 is a perfect multiple of 400) Number of odd days in the period 1601-1900 = Number of odd days in 300 years = 5 x 3 = 15 = 1 (As we can reduce perfect multiples of 7 from odd days without affecting anything) 1st Jan 1901 = 1 odd day Total number of odd days = (0 + 1 + 1) = 2 2 odd days = Tuesday Hence 1 January 1901 is Tuesday.

Answer»

1 Jan 1901 = (1900 years + 1st Jan 1901)

We know that number of odd days in 400 years = 0

Hence the number of odd days in 1600 years = 0 (Since 1600 is a perfect multiple of 400)

Number of odd days in the PERIOD 1601-1900

= Number of odd days in 300 years

= 5 x 3 = 15 = 1

(As we can reduce perfect multiples of 7 from odd days without affecting anything)

1st Jan 1901 = 1 odd day

Total number of odd days = (0 + 1 + 1) = 2

2 odd days = TUESDAY

Hence 1 January 1901 is Tuesday.