Explanation:


To determine the day of the week for June 20th, 1837, we can use the concept of the Gregorian calendar and the knowledge that January 1st, 1900 was a Monday.

Step 1:


Calculate the number of days between January 1st, 1900, and June 20th, 1837.

To do this, we need to consider the number of days in each year and account for leap years.

Step 2:


Calculate the remainder when the number of days is divided by 7.

Since there are 7 days in a week, the remainder will give us the day of the week for June 20th, 1837.

Step 3:


Let's calculate the number of days between January 1st, 1900, and June 20th, 1837:

1837 - 1900 = -63 years

Since there are 365 days in a non-leap year, we have:

-63 years * 365 days/year = -22995 days

We also need to account for the leap years between 1837 and 1900:

In this period, there are 15 leap years (1840, 1844, 1848, ..., 1896).

15 leap years * 1 extra day/leap year = 15 days

Therefore, the total number of days between January 1st, 1900, and June 20th, 1837, is:

-22995 days - 15 days = -23010 days

Step 4:


Calculate the remainder when -23010 days is divided by 7:

-23010 days % 7 = -4

Since the remainder is -4, we can add 7 to make it positive:

-4 + 7 = 3

Therefore, June 20th, 1837, was a Tuesday (corresponding to the remainder 3).

Thus, the correct answer is option B) Tuesday.