If April 2027 began on a Monday, on which date would the first Sunday of November 2027 fall?

The correct answer is 3.

To determine the date of the first Sunday in November 2027 given that April 1, 2027, fell on a Monday, we can count the total number of days (or odd days) between April 1 and November 1, 2027.

Let us list the number of days in each month from April through October:
• April: 30 days
• May: 31 days
• June: 30 days
• July: 31 days
• August: 31 days
• September: 30 days
• October: 31 days

The total number of days from April 1 to November 1 is calculated by summing the days in these months:

$\text{Total days}=30+31+30+31+31+30+31=214\text{days}$

Alternatively, we can calculate the number of odd days (the remainder after dividing the number of days in each month by 7):
• April: 30 mod 7 = 2 odd days
• May: 31 mod 7 = 3 odd days
• June: 30 mod 7 = 2 odd days
• July: 31 mod 7 = 3 odd days
• August: 31 mod 7 = 3 odd days
• September: 30 mod 7 = 2 odd days
• October: 31 mod 7 = 3 odd days

Summing these odd days gives:

$\text{Total odd days}=2+3+2+3+3+2+3=18\text{odd days}$

Now, we divide 18 by 7 to find the net remainder:

$18÷7=2\text{weeks and}4\text{remainder odd days}$

Adding 4 odd days to Monday gives the day of the week for November 1, 2027:

$\text{Monday}+4\text{days}=\text{Friday}$

Since November 1, 2027, is a Friday:
• November 1 = Friday
• November 2 = Saturday
• November 3 = Sunday

Thus, the first Sunday of November 2027 falls on November 3.