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Solution

✅ Correct Option: 2

To find the day of the week on January 4, 1904, we'll calculate from a known reference date.

January 1, 1900 was a Monday (known reference date).


Calculate the number of complete years from 1900 to 1904:

Years 1900, 1901, 1902, and 1903 need to be counted.

Check for leap years:

  • 1900: Not a leap year (divisible by 100 but not by 400) → 365 days
  • 1901: Not a leap year → 365 days
  • 1902: Not a leap year → 365 days
  • 1903: Not a leap year → 365 days

Total days in complete years =365×4=1460= 365 \times 4 = 1460 days


Days from January 1, 1904 to January 4, 1904:

Number of days =3= 3 days

Total days from January 1, 1900 to January 4, 1904:

=1460+3=1463= 1460 + 3 = 1463 days


To find the day of the week, divide by 7:

1463÷7=2091463 \div 7 = 209 with remainder 00

Since the remainder is 0, January 4, 1904 falls on the same day as January 1, 1900.

Therefore, January 4, 1904 was a Monday.

The answer is Option 2: Monday.

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