Explanation:
To calculate the day of the week for any given date, you can use Zeller's congruence formula:
h = (q + 26(m + 1)/10 + k + k/4 + j/4 + 5j) mod 7
Where:
h is the day of the week (0 = Saturday, 1 = Sunday, 2 = Monday, 3 = Tuesday, 4 = Wednesday, 5 = Thursday, and 6 = Friday).
q is the day of the month.
m is the month (3 = March, 4 = April, ..., 12 = December). January and February are counted as months 13 and 14 of the previous year.
k is the year of the century (the last two digits of the year).
j is the century (the first two digits of the year).
For 3rd April 1946, we have:
q = 3
m = 4
k = 46
j = 19
Plugging these values into the formula, we get:
h = (3 + 26(4 + 1)/10 + 46 + 46/4 + 19/4 + 5(19)) mod 7
= (3 + 26(5)/10 + 46 + 11 + 4 + 95) mod 7
= (3 + 130 + 46 + 11 + 4 + 95) mod 7
= (289) mod 7
= 3
Therefore, 3rd April 1946 was a Wednesday.