During the leap year 2024, which month included five Mondays?

The correct option is April.

Step-by-Step Explanation:

To determine which month in the leap year 2024 contained five Mondays, we can analyze the calendar layout for 2024 starting from the first day of the year.

Step 1: Identify the starting day of 2024
The year 2024 was a leap year with 366 days. January 1, 2024, fell on a Monday.

Step 2: Understand how a month gets 5 Mondays
A standard week has 7 days, so every month has at least 4 full weeks (28 days), guaranteeing at least 4 Mondays.
For a month to have a 5th Monday:
- A 30-day month (which has 2 extra days beyond 28) must start on a Sunday or a Monday.
- A 31-day month (which has 3 extra days beyond 28) must start on a Saturday, Sunday, or Monday.

Step 3: Evaluate each option

1. March 2024:
January has 31 days and February 2024 has 29 days (since 2024 is a leap year).
Total days before March 1 = 31 + 29 = 60 days.

$60mod7=4$

Advancing 4 days from Monday means March 1, 2024, fell on a Friday. A 31-day month starting on Friday has Mondays on March 4, 11, 18, and 25 (total of 4 Mondays).

2. April 2024:
Total days from January 1 up to March 31:

$31+29+31=91$

Now, calculate the day shift for April 1:

$91mod7=0$

Since the remainder is 0, April 1, 2024, fell on a Monday.
Since April has 30 days and starts on a Monday, the Mondays in April 2024 occurred on:
April 1, April 8, April 15, April 22, and April 29.
This gives a total of 5 Mondays.

3. June 2024:
June 1, 2024, fell on a Saturday. The Mondays in June 2024 were June 3, 10, 17, and 24 (total of 4 Mondays).

4. November 2024:
November 1, 2024, fell on a Friday. The Mondays in November 2024 were November 4, 11, 18, and 25 (total of 4 Mondays).

Conclusion: April is the month during 2024 that included five Mondays.