If it was Sunday on 1 st April, 1956, then what was the day of the week on 2 nd July, 1957?

Solution

We know that: The number of odd days in the month, which has 28 days is '0'. Number of odd days in the month, which has 30 days is '2'.
Number of odd days in the month, which has 31 days is '3'.
So, number of odd days from 1 st April, 1956 to 2 nd July, 1957 is (2 + 3 + 2 + 3 + 3 + 2 + 3 + 2 + 3 + 3 + 0 + 3 + 2 + 3 + 2 + 1) = 37
The days of the week repeat itself after 7 days, so, (37÷7) , we get 2 as remainder.
So, number of odd days = 2 As, it was Sunday on 1 st April, 1956, so, 2 nd day after Sunday is Tuesday.
Therefore, on 2nd July, 1957 it will be Tuesday.