If the third day of a month is a Tuesday, which day of the week will be the 25th day of that month?

Introduction / Context:
This question is a straightforward example of working with days of the month and their corresponding weekdays. It tests your ability to move forward by a specific number of days using the 7-day cycle of the week.

Given Data / Assumptions:

• The 3rd day of the month is a Tuesday.
• We are asked for the weekday on the 25th day of the same month.
• The month length is not needed as long as it has at least 25 days.

Concept / Approach:
The basic idea is to calculate the difference in days between the 3rd and 25th dates, then use the remainder modulo 7 to shift forward from Tuesday. Because the week repeats every 7 days, only the remainder after dividing the difference by 7 affects the weekday.

Step-by-Step Solution:
Step 1: Compute the difference in dates between the 3rd and the 25th: 25 − 3 = 22 days.Step 2: Find 22 mod 7. Since 7 * 3 = 21, 22 = 7 * 3 + 1.Step 3: The remainder is 1, which means the 25th day falls 1 weekday after the 3rd.Step 4: The 3rd is a Tuesday (given).Step 5: Moving one day forward from Tuesday gives Wednesday.Step 6: Therefore, the 25th day of the month is a Wednesday.

Verification / Alternative check:
To verify, you can list a shorter segment: 3rd is Tuesday, 10th (7 days later) is Tuesday, 17th is Tuesday, 24th is Tuesday, and the 25th is one day after that, which is Wednesday. This matches the modular arithmetic approach and confirms the result.

Why Other Options Are Wrong:
Tuesday would be correct if the difference in days were a multiple of 7 with remainder 0, not 1. Monday or Sunday would require moving backward in time or having a different remainder. Friday is several days ahead in the cycle and does not correspond to a remainder of 1.

Common Pitfalls:

• Miscomputing the difference in dates (e.g., using 23 instead of 22).
• Dividing by 7 but confusing the quotient and remainder.
• Moving in the wrong direction on the weekday cycle (backward instead of forward).

Final Answer:
The 25th day of the month will be a Wednesday.