Question

Difficulty: EasyClocks and Calendars

If January 1, 1900, was a Monday, what day of the week was January 1, 1901?

  1. A
    Wednesday
  2. B
    Sunday
  3. TuesdayAnswer
  4. D
    Monday

Answer

Tuesday
The correct answer is Tuesday because the year 1900 is an ordinary year with 365 days, which produces exactly 1 odd day. Adding 1 day to the starting day of Monday brings us to Tuesday.

Step-by-Step Solution

1
Determine if the starting year (1900) is a leap year or an ordinary year.
1900 is an ordinary year.
Although 1900 is divisible by 4, century years must be divisible by 400 to be considered leap years. Since 1900 is not divisible by 400, it is an ordinary year.
2
Calculate the number of odd days in an ordinary year.
1 odd day.
An ordinary year has 365 days. Dividing 365 by 7 yields 52 weeks and a remainder of 1 day. This remainder represents the odd day.
3
Add the number of odd days to the given day of the week.
Tuesday.
Since January 1, 1900, was a Monday, moving forward by 1 odd day results in Tuesday.

Key Concept

Century Leap Year Rules and Odd Days Calculation
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